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vin
PrCit../bf531..
PUebU../d3c66..
vout
PrCit../c0872.. 4.79 bars
TMGMU../ecfe6.. ownership of 5e841.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMGAs../75c4a.. ownership of 644f0.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMZPR../68ca6.. ownership of cebd4.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMH7q../29a06.. ownership of 50ba4.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMWYA../00d0d.. ownership of 3c32a.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMLtF../eca82.. ownership of 6261d.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMQfn../ebb95.. ownership of 1fc45.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMQkA../59bad.. ownership of 6a774.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMURU../f9574.. ownership of ec6bb.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMP6u../0117e.. ownership of 88e43.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMajN../4ee1e.. ownership of 1758f.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMSMz../f9c6d.. ownership of ccf9d.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMahn../453a6.. ownership of bf9c0.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMLFY../3275b.. ownership of 06a21.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMV5t../da88f.. ownership of b36ff.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMVbw../123c0.. ownership of cbf7a.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMKSK../75480.. ownership of 79bd2.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMQtt../21528.. ownership of eca07.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMWL5../f0c73.. ownership of 7ee90.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMc6k../0a5ac.. ownership of d12ef.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMLRz../ed466.. ownership of cd18c.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMP1t../856d6.. ownership of 2adc5.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMSvQ../92ad3.. ownership of e6da2.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMX6R../dd2bb.. ownership of c5d7e.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMFZf../719c2.. ownership of 984c8.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMFgo../40f17.. ownership of 7d721.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMMaS../c10dc.. ownership of 084ef.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMJaY../c8e53.. ownership of 421f4.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMazp../0b27c.. ownership of f67f7.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMSmr../b2070.. ownership of 6cd5d.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMEvt../fad89.. ownership of 8ca1e.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMHpR../1d7f3.. ownership of bc925.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMMqo../c9df7.. ownership of 74326.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMdbF../09b32.. ownership of 6256d.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMXQ8../af784.. ownership of 9efa7.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMUxg../6a7f9.. ownership of d3769.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMZgn../73a57.. ownership of 24b48.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMPzy../01dc1.. ownership of 7c052.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMXDk../9f504.. ownership of 1fbf0.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMGNf../67a9d.. ownership of 52e73.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMVap../278b8.. ownership of 1565e.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMbqR../a1b91.. ownership of ec854.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMJ3J../de75c.. ownership of 6fc5a.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMZk3../d36e2.. ownership of b7ecf.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMY2N../e42ef.. ownership of 8d9d9.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMNBx../d49b7.. ownership of 0a401.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMHUn../15b38.. ownership of 09f2a.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMRHf../3cbd8.. ownership of 1f476.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMPrX../768a6.. ownership of d140d.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMVmB../6a772.. ownership of 01a03.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMSS2../38e2a.. ownership of 04f57.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMdeE../ab897.. ownership of bd775.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMHwc../945c7.. ownership of 75f77.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMSWy../9c2ab.. ownership of fba79.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMX9b../05255.. ownership of 19e0f.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMH9j../294bf.. ownership of b4405.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMYJw../fad29.. ownership of 2e3d8.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMF1n../1b252.. ownership of 177f1.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMRxe../727a9.. ownership of 368c2.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMQRD../1eec3.. ownership of 7e1bd.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMYGZ../d8791.. ownership of 09d70.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMcX3../550ef.. ownership of b67f1.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMScn../53cc6.. ownership of 5d098.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMRVF../f8676.. ownership of 8a21f.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMF5S../7272a.. ownership of ada03.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMZFY../bd127.. ownership of 70c71.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMPWw../dbac2.. ownership of 04353.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMU44../62eb0.. ownership of 12ee6.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
PUXoM../f2b6d.. doc published by Pr4zB..
Param atleastpatleastp : ι → ι → ο
Param u1 : ι
Param SingSing : ι → ι
Known atleastp_traatleastp_tra : ∀ x0 x1 x2 . atleastp x0 x1 ⟶ atleastp x1 x2 ⟶ atleastp x0 x2
Param equipequip : ι → ι → ο
Known equip_atleastpequip_atleastp : ∀ x0 x1 . equip x0 x1 ⟶ atleastp x0 x1
Known equip_symequip_sym : ∀ x0 x1 . equip x0 x1 ⟶ equip x1 x0
Known 5169f..equip_Sing_1 : ∀ x0 . equip (Sing x0) u1
Definition SubqSubq := λ x0 x1 . ∀ x2 . x2 ∈ x0 ⟶ x2 ∈ x1
Known Subq_atleastpSubq_atleastp : ∀ x0 x1 . x0 ⊆ x1 ⟶ atleastp x0 x1
Known SingESingE : ∀ x0 x1 . x1 ∈ Sing x0 ⟶ x1 = x0
Theorem 04353.. : ∀ x0 x1 . x1 ∈ x0 ⟶ atleastp u1 x0 (proof)
Param ordsuccordsucc : ι → ι
Definition u2 := ordsucc u1
Param setminussetminus : ι → ι → ι
Definition FalseFalse := ∀ x0 : ο . x0
Definition notnot := λ x0 : ο . x0 ⟶ False
Definition nInnIn := λ x0 x1 . not (x0 ∈ x1)
Param binunionbinunion : ι → ι → ι
Known eb0c4..binunion_remove1_eq : ∀ x0 x1 . x1 ∈ x0 ⟶ x0 = binunion (setminus x0 (Sing x1)) (Sing x1)
Known 1dc5a.. : ∀ x0 x1 x2 . nIn x2 x1 ⟶ atleastp x0 x1 ⟶ atleastp (ordsucc x0) (binunion x1 (Sing x2))
Known setminus_nIn_I2setminus_nIn_I2 : ∀ x0 x1 x2 . x2 ∈ x1 ⟶ nIn x2 (setminus x0 x1)
Known SingISingI : ∀ x0 . x0 ∈ Sing x0
Known setminusIsetminusI : ∀ x0 x1 x2 . x2 ∈ x0 ⟶ nIn x2 x1 ⟶ x2 ∈ setminus x0 x1
Theorem ada03.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x3 : ο . x3) ⟶ atleastp u2 x0 (proof)
Definition u3 := ordsucc u2
Theorem 5d098.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x4 : ο . x4) ⟶ (x1 = x3 ⟶ ∀ x4 : ο . x4) ⟶ (x2 = x3 ⟶ ∀ x4 : ο . x4) ⟶ atleastp u3 x0 (proof)
Definition u4 := ordsucc u3
Theorem 09d70.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x5 : ο . x5) ⟶ (x1 = x3 ⟶ ∀ x5 : ο . x5) ⟶ (x2 = x3 ⟶ ∀ x5 : ο . x5) ⟶ (x1 = x4 ⟶ ∀ x5 : ο . x5) ⟶ (x2 = x4 ⟶ ∀ x5 : ο . x5) ⟶ (x3 = x4 ⟶ ∀ x5 : ο . x5) ⟶ atleastp u4 x0 (proof)
Definition u5 := ordsucc u4
Theorem 368c2.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x6 : ο . x6) ⟶ (x1 = x3 ⟶ ∀ x6 : ο . x6) ⟶ (x2 = x3 ⟶ ∀ x6 : ο . x6) ⟶ (x1 = x4 ⟶ ∀ x6 : ο . x6) ⟶ (x2 = x4 ⟶ ∀ x6 : ο . x6) ⟶ (x3 = x4 ⟶ ∀ x6 : ο . x6) ⟶ (x1 = x5 ⟶ ∀ x6 : ο . x6) ⟶ (x2 = x5 ⟶ ∀ x6 : ο . x6) ⟶ (x3 = x5 ⟶ ∀ x6 : ο . x6) ⟶ (x4 = x5 ⟶ ∀ x6 : ο . x6) ⟶ atleastp u5 x0 (proof)
Definition u6 := ordsucc u5
Theorem 2e3d8.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x7 : ο . x7) ⟶ (x1 = x3 ⟶ ∀ x7 : ο . x7) ⟶ (x2 = x3 ⟶ ∀ x7 : ο . x7) ⟶ (x1 = x4 ⟶ ∀ x7 : ο . x7) ⟶ (x2 = x4 ⟶ ∀ x7 : ο . x7) ⟶ (x3 = x4 ⟶ ∀ x7 : ο . x7) ⟶ (x1 = x5 ⟶ ∀ x7 : ο . x7) ⟶ (x2 = x5 ⟶ ∀ x7 : ο . x7) ⟶ (x3 = x5 ⟶ ∀ x7 : ο . x7) ⟶ (x4 = x5 ⟶ ∀ x7 : ο . x7) ⟶ (x1 = x6 ⟶ ∀ x7 : ο . x7) ⟶ (x2 = x6 ⟶ ∀ x7 : ο . x7) ⟶ (x3 = x6 ⟶ ∀ x7 : ο . x7) ⟶ (x4 = x6 ⟶ ∀ x7 : ο . x7) ⟶ (x5 = x6 ⟶ ∀ x7 : ο . x7) ⟶ atleastp u6 x0 (proof)
Definition u7 := ordsucc u6
Theorem 19e0f.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x8 : ο . x8) ⟶ (x1 = x3 ⟶ ∀ x8 : ο . x8) ⟶ (x2 = x3 ⟶ ∀ x8 : ο . x8) ⟶ (x1 = x4 ⟶ ∀ x8 : ο . x8) ⟶ (x2 = x4 ⟶ ∀ x8 : ο . x8) ⟶ (x3 = x4 ⟶ ∀ x8 : ο . x8) ⟶ (x1 = x5 ⟶ ∀ x8 : ο . x8) ⟶ (x2 = x5 ⟶ ∀ x8 : ο . x8) ⟶ (x3 = x5 ⟶ ∀ x8 : ο . x8) ⟶ (x4 = x5 ⟶ ∀ x8 : ο . x8) ⟶ (x1 = x6 ⟶ ∀ x8 : ο . x8) ⟶ (x2 = x6 ⟶ ∀ x8 : ο . x8) ⟶ (x3 = x6 ⟶ ∀ x8 : ο . x8) ⟶ (x4 = x6 ⟶ ∀ x8 : ο . x8) ⟶ (x5 = x6 ⟶ ∀ x8 : ο . x8) ⟶ (x1 = x7 ⟶ ∀ x8 : ο . x8) ⟶ (x2 = x7 ⟶ ∀ x8 : ο . x8) ⟶ (x3 = x7 ⟶ ∀ x8 : ο . x8) ⟶ (x4 = x7 ⟶ ∀ x8 : ο . x8) ⟶ (x5 = x7 ⟶ ∀ x8 : ο . x8) ⟶ (x6 = x7 ⟶ ∀ x8 : ο . x8) ⟶ atleastp u7 x0 (proof)
Definition u8 := ordsucc u7
Theorem 75f77.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x9 : ο . x9) ⟶ (x1 = x3 ⟶ ∀ x9 : ο . x9) ⟶ (x2 = x3 ⟶ ∀ x9 : ο . x9) ⟶ (x1 = x4 ⟶ ∀ x9 : ο . x9) ⟶ (x2 = x4 ⟶ ∀ x9 : ο . x9) ⟶ (x3 = x4 ⟶ ∀ x9 : ο . x9) ⟶ (x1 = x5 ⟶ ∀ x9 : ο . x9) ⟶ (x2 = x5 ⟶ ∀ x9 : ο . x9) ⟶ (x3 = x5 ⟶ ∀ x9 : ο . x9) ⟶ (x4 = x5 ⟶ ∀ x9 : ο . x9) ⟶ (x1 = x6 ⟶ ∀ x9 : ο . x9) ⟶ (x2 = x6 ⟶ ∀ x9 : ο . x9) ⟶ (x3 = x6 ⟶ ∀ x9 : ο . x9) ⟶ (x4 = x6 ⟶ ∀ x9 : ο . x9) ⟶ (x5 = x6 ⟶ ∀ x9 : ο . x9) ⟶ (x1 = x7 ⟶ ∀ x9 : ο . x9) ⟶ (x2 = x7 ⟶ ∀ x9 : ο . x9) ⟶ (x3 = x7 ⟶ ∀ x9 : ο . x9) ⟶ (x4 = x7 ⟶ ∀ x9 : ο . x9) ⟶ (x5 = x7 ⟶ ∀ x9 : ο . x9) ⟶ (x6 = x7 ⟶ ∀ x9 : ο . x9) ⟶ (x1 = x8 ⟶ ∀ x9 : ο . x9) ⟶ (x2 = x8 ⟶ ∀ x9 : ο . x9) ⟶ (x3 = x8 ⟶ ∀ x9 : ο . x9) ⟶ (x4 = x8 ⟶ ∀ x9 : ο . x9) ⟶ (x5 = x8 ⟶ ∀ x9 : ο . x9) ⟶ (x6 = x8 ⟶ ∀ x9 : ο . x9) ⟶ (x7 = x8 ⟶ ∀ x9 : ο . x9) ⟶ atleastp u8 x0 (proof)
Definition u9 := ordsucc u8
Theorem 04f57.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x10 : ο . x10) ⟶ (x1 = x3 ⟶ ∀ x10 : ο . x10) ⟶ (x2 = x3 ⟶ ∀ x10 : ο . x10) ⟶ (x1 = x4 ⟶ ∀ x10 : ο . x10) ⟶ (x2 = x4 ⟶ ∀ x10 : ο . x10) ⟶ (x3 = x4 ⟶ ∀ x10 : ο . x10) ⟶ (x1 = x5 ⟶ ∀ x10 : ο . x10) ⟶ (x2 = x5 ⟶ ∀ x10 : ο . x10) ⟶ (x3 = x5 ⟶ ∀ x10 : ο . x10) ⟶ (x4 = x5 ⟶ ∀ x10 : ο . x10) ⟶ (x1 = x6 ⟶ ∀ x10 : ο . x10) ⟶ (x2 = x6 ⟶ ∀ x10 : ο . x10) ⟶ (x3 = x6 ⟶ ∀ x10 : ο . x10) ⟶ (x4 = x6 ⟶ ∀ x10 : ο . x10) ⟶ (x5 = x6 ⟶ ∀ x10 : ο . x10) ⟶ (x1 = x7 ⟶ ∀ x10 : ο . x10) ⟶ (x2 = x7 ⟶ ∀ x10 : ο . x10) ⟶ (x3 = x7 ⟶ ∀ x10 : ο . x10) ⟶ (x4 = x7 ⟶ ∀ x10 : ο . x10) ⟶ (x5 = x7 ⟶ ∀ x10 : ο . x10) ⟶ (x6 = x7 ⟶ ∀ x10 : ο . x10) ⟶ (x1 = x8 ⟶ ∀ x10 : ο . x10) ⟶ (x2 = x8 ⟶ ∀ x10 : ο . x10) ⟶ (x3 = x8 ⟶ ∀ x10 : ο . x10) ⟶ (x4 = x8 ⟶ ∀ x10 : ο . x10) ⟶ (x5 = x8 ⟶ ∀ x10 : ο . x10) ⟶ (x6 = x8 ⟶ ∀ x10 : ο . x10) ⟶ (x7 = x8 ⟶ ∀ x10 : ο . x10) ⟶ (x1 = x9 ⟶ ∀ x10 : ο . x10) ⟶ (x2 = x9 ⟶ ∀ x10 : ο . x10) ⟶ (x3 = x9 ⟶ ∀ x10 : ο . x10) ⟶ (x4 = x9 ⟶ ∀ x10 : ο . x10) ⟶ (x5 = x9 ⟶ ∀ x10 : ο . x10) ⟶ (x6 = x9 ⟶ ∀ x10 : ο . x10) ⟶ (x7 = x9 ⟶ ∀ x10 : ο . x10) ⟶ (x8 = x9 ⟶ ∀ x10 : ο . x10) ⟶ atleastp u9 x0 (proof)
Definition u10 := ordsucc u9
Theorem d140d.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x11 : ο . x11) ⟶ (x1 = x3 ⟶ ∀ x11 : ο . x11) ⟶ (x2 = x3 ⟶ ∀ x11 : ο . x11) ⟶ (x1 = x4 ⟶ ∀ x11 : ο . x11) ⟶ (x2 = x4 ⟶ ∀ x11 : ο . x11) ⟶ (x3 = x4 ⟶ ∀ x11 : ο . x11) ⟶ (x1 = x5 ⟶ ∀ x11 : ο . x11) ⟶ (x2 = x5 ⟶ ∀ x11 : ο . x11) ⟶ (x3 = x5 ⟶ ∀ x11 : ο . x11) ⟶ (x4 = x5 ⟶ ∀ x11 : ο . x11) ⟶ (x1 = x6 ⟶ ∀ x11 : ο . x11) ⟶ (x2 = x6 ⟶ ∀ x11 : ο . x11) ⟶ (x3 = x6 ⟶ ∀ x11 : ο . x11) ⟶ (x4 = x6 ⟶ ∀ x11 : ο . x11) ⟶ (x5 = x6 ⟶ ∀ x11 : ο . x11) ⟶ (x1 = x7 ⟶ ∀ x11 : ο . x11) ⟶ (x2 = x7 ⟶ ∀ x11 : ο . x11) ⟶ (x3 = x7 ⟶ ∀ x11 : ο . x11) ⟶ (x4 = x7 ⟶ ∀ x11 : ο . x11) ⟶ (x5 = x7 ⟶ ∀ x11 : ο . x11) ⟶ (x6 = x7 ⟶ ∀ x11 : ο . x11) ⟶ (x1 = x8 ⟶ ∀ x11 : ο . x11) ⟶ (x2 = x8 ⟶ ∀ x11 : ο . x11) ⟶ (x3 = x8 ⟶ ∀ x11 : ο . x11) ⟶ (x4 = x8 ⟶ ∀ x11 : ο . x11) ⟶ (x5 = x8 ⟶ ∀ x11 : ο . x11) ⟶ (x6 = x8 ⟶ ∀ x11 : ο . x11) ⟶ (x7 = x8 ⟶ ∀ x11 : ο . x11) ⟶ (x1 = x9 ⟶ ∀ x11 : ο . x11) ⟶ (x2 = x9 ⟶ ∀ x11 : ο . x11) ⟶ (x3 = x9 ⟶ ∀ x11 : ο . x11) ⟶ (x4 = x9 ⟶ ∀ x11 : ο . x11) ⟶ (x5 = x9 ⟶ ∀ x11 : ο . x11) ⟶ (x6 = x9 ⟶ ∀ x11 : ο . x11) ⟶ (x7 = x9 ⟶ ∀ x11 : ο . x11) ⟶ (x8 = x9 ⟶ ∀ x11 : ο . x11) ⟶ (x1 = x10 ⟶ ∀ x11 : ο . x11) ⟶ (x2 = x10 ⟶ ∀ x11 : ο . x11) ⟶ (x3 = x10 ⟶ ∀ x11 : ο . x11) ⟶ (x4 = x10 ⟶ ∀ x11 : ο . x11) ⟶ (x5 = x10 ⟶ ∀ x11 : ο . x11) ⟶ (x6 = x10 ⟶ ∀ x11 : ο . x11) ⟶ (x7 = x10 ⟶ ∀ x11 : ο . x11) ⟶ (x8 = x10 ⟶ ∀ x11 : ο . x11) ⟶ (x9 = x10 ⟶ ∀ x11 : ο . x11) ⟶ atleastp u10 x0 (proof)
Definition u11 := ordsucc u10
Theorem 09f2a.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x12 : ο . x12) ⟶ (x1 = x3 ⟶ ∀ x12 : ο . x12) ⟶ (x2 = x3 ⟶ ∀ x12 : ο . x12) ⟶ (x1 = x4 ⟶ ∀ x12 : ο . x12) ⟶ (x2 = x4 ⟶ ∀ x12 : ο . x12) ⟶ (x3 = x4 ⟶ ∀ x12 : ο . x12) ⟶ (x1 = x5 ⟶ ∀ x12 : ο . x12) ⟶ (x2 = x5 ⟶ ∀ x12 : ο . x12) ⟶ (x3 = x5 ⟶ ∀ x12 : ο . x12) ⟶ (x4 = x5 ⟶ ∀ x12 : ο . x12) ⟶ (x1 = x6 ⟶ ∀ x12 : ο . x12) ⟶ (x2 = x6 ⟶ ∀ x12 : ο . x12) ⟶ (x3 = x6 ⟶ ∀ x12 : ο . x12) ⟶ (x4 = x6 ⟶ ∀ x12 : ο . x12) ⟶ (x5 = x6 ⟶ ∀ x12 : ο . x12) ⟶ (x1 = x7 ⟶ ∀ x12 : ο . x12) ⟶ (x2 = x7 ⟶ ∀ x12 : ο . x12) ⟶ (x3 = x7 ⟶ ∀ x12 : ο . x12) ⟶ (x4 = x7 ⟶ ∀ x12 : ο . x12) ⟶ (x5 = x7 ⟶ ∀ x12 : ο . x12) ⟶ (x6 = x7 ⟶ ∀ x12 : ο . x12) ⟶ (x1 = x8 ⟶ ∀ x12 : ο . x12) ⟶ (x2 = x8 ⟶ ∀ x12 : ο . x12) ⟶ (x3 = x8 ⟶ ∀ x12 : ο . x12) ⟶ (x4 = x8 ⟶ ∀ x12 : ο . x12) ⟶ (x5 = x8 ⟶ ∀ x12 : ο . x12) ⟶ (x6 = x8 ⟶ ∀ x12 : ο . x12) ⟶ (x7 = x8 ⟶ ∀ x12 : ο . x12) ⟶ (x1 = x9 ⟶ ∀ x12 : ο . x12) ⟶ (x2 = x9 ⟶ ∀ x12 : ο . x12) ⟶ (x3 = x9 ⟶ ∀ x12 : ο . x12) ⟶ (x4 = x9 ⟶ ∀ x12 : ο . x12) ⟶ (x5 = x9 ⟶ ∀ x12 : ο . x12) ⟶ (x6 = x9 ⟶ ∀ x12 : ο . x12) ⟶ (x7 = x9 ⟶ ∀ x12 : ο . x12) ⟶ (x8 = x9 ⟶ ∀ x12 : ο . x12) ⟶ (x1 = x10 ⟶ ∀ x12 : ο . x12) ⟶ (x2 = x10 ⟶ ∀ x12 : ο . x12) ⟶ (x3 = x10 ⟶ ∀ x12 : ο . x12) ⟶ (x4 = x10 ⟶ ∀ x12 : ο . x12) ⟶ (x5 = x10 ⟶ ∀ x12 : ο . x12) ⟶ (x6 = x10 ⟶ ∀ x12 : ο . x12) ⟶ (x7 = x10 ⟶ ∀ x12 : ο . x12) ⟶ (x8 = x10 ⟶ ∀ x12 : ο . x12) ⟶ (x9 = x10 ⟶ ∀ x12 : ο . x12) ⟶ (x1 = x11 ⟶ ∀ x12 : ο . x12) ⟶ (x2 = x11 ⟶ ∀ x12 : ο . x12) ⟶ (x3 = x11 ⟶ ∀ x12 : ο . x12) ⟶ (x4 = x11 ⟶ ∀ x12 : ο . x12) ⟶ (x5 = x11 ⟶ ∀ x12 : ο . x12) ⟶ (x6 = x11 ⟶ ∀ x12 : ο . x12) ⟶ (x7 = x11 ⟶ ∀ x12 : ο . x12) ⟶ (x8 = x11 ⟶ ∀ x12 : ο . x12) ⟶ (x9 = x11 ⟶ ∀ x12 : ο . x12) ⟶ (x10 = x11 ⟶ ∀ x12 : ο . x12) ⟶ atleastp u11 x0 (proof)
Definition u12 := ordsucc u11
Theorem 8d9d9.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x13 : ο . x13) ⟶ (x1 = x3 ⟶ ∀ x13 : ο . x13) ⟶ (x2 = x3 ⟶ ∀ x13 : ο . x13) ⟶ (x1 = x4 ⟶ ∀ x13 : ο . x13) ⟶ (x2 = x4 ⟶ ∀ x13 : ο . x13) ⟶ (x3 = x4 ⟶ ∀ x13 : ο . x13) ⟶ (x1 = x5 ⟶ ∀ x13 : ο . x13) ⟶ (x2 = x5 ⟶ ∀ x13 : ο . x13) ⟶ (x3 = x5 ⟶ ∀ x13 : ο . x13) ⟶ (x4 = x5 ⟶ ∀ x13 : ο . x13) ⟶ (x1 = x6 ⟶ ∀ x13 : ο . x13) ⟶ (x2 = x6 ⟶ ∀ x13 : ο . x13) ⟶ (x3 = x6 ⟶ ∀ x13 : ο . x13) ⟶ (x4 = x6 ⟶ ∀ x13 : ο . x13) ⟶ (x5 = x6 ⟶ ∀ x13 : ο . x13) ⟶ (x1 = x7 ⟶ ∀ x13 : ο . x13) ⟶ (x2 = x7 ⟶ ∀ x13 : ο . x13) ⟶ (x3 = x7 ⟶ ∀ x13 : ο . x13) ⟶ (x4 = x7 ⟶ ∀ x13 : ο . x13) ⟶ (x5 = x7 ⟶ ∀ x13 : ο . x13) ⟶ (x6 = x7 ⟶ ∀ x13 : ο . x13) ⟶ (x1 = x8 ⟶ ∀ x13 : ο . x13) ⟶ (x2 = x8 ⟶ ∀ x13 : ο . x13) ⟶ (x3 = x8 ⟶ ∀ x13 : ο . x13) ⟶ (x4 = x8 ⟶ ∀ x13 : ο . x13) ⟶ (x5 = x8 ⟶ ∀ x13 : ο . x13) ⟶ (x6 = x8 ⟶ ∀ x13 : ο . x13) ⟶ (x7 = x8 ⟶ ∀ x13 : ο . x13) ⟶ (x1 = x9 ⟶ ∀ x13 : ο . x13) ⟶ (x2 = x9 ⟶ ∀ x13 : ο . x13) ⟶ (x3 = x9 ⟶ ∀ x13 : ο . x13) ⟶ (x4 = x9 ⟶ ∀ x13 : ο . x13) ⟶ (x5 = x9 ⟶ ∀ x13 : ο . x13) ⟶ (x6 = x9 ⟶ ∀ x13 : ο . x13) ⟶ (x7 = x9 ⟶ ∀ x13 : ο . x13) ⟶ (x8 = x9 ⟶ ∀ x13 : ο . x13) ⟶ (x1 = x10 ⟶ ∀ x13 : ο . x13) ⟶ (x2 = x10 ⟶ ∀ x13 : ο . x13) ⟶ (x3 = x10 ⟶ ∀ x13 : ο . x13) ⟶ (x4 = x10 ⟶ ∀ x13 : ο . x13) ⟶ (x5 = x10 ⟶ ∀ x13 : ο . x13) ⟶ (x6 = x10 ⟶ ∀ x13 : ο . x13) ⟶ (x7 = x10 ⟶ ∀ x13 : ο . x13) ⟶ (x8 = x10 ⟶ ∀ x13 : ο . x13) ⟶ (x9 = x10 ⟶ ∀ x13 : ο . x13) ⟶ (x1 = x11 ⟶ ∀ x13 : ο . x13) ⟶ (x2 = x11 ⟶ ∀ x13 : ο . x13) ⟶ (x3 = x11 ⟶ ∀ x13 : ο . x13) ⟶ (x4 = x11 ⟶ ∀ x13 : ο . x13) ⟶ (x5 = x11 ⟶ ∀ x13 : ο . x13) ⟶ (x6 = x11 ⟶ ∀ x13 : ο . x13) ⟶ (x7 = x11 ⟶ ∀ x13 : ο . x13) ⟶ (x8 = x11 ⟶ ∀ x13 : ο . x13) ⟶ (x9 = x11 ⟶ ∀ x13 : ο . x13) ⟶ (x10 = x11 ⟶ ∀ x13 : ο . x13) ⟶ (x1 = x12 ⟶ ∀ x13 : ο . x13) ⟶ (x2 = x12 ⟶ ∀ x13 : ο . x13) ⟶ (x3 = x12 ⟶ ∀ x13 : ο . x13) ⟶ (x4 = x12 ⟶ ∀ x13 : ο . x13) ⟶ (x5 = x12 ⟶ ∀ x13 : ο . x13) ⟶ (x6 = x12 ⟶ ∀ x13 : ο . x13) ⟶ (x7 = x12 ⟶ ∀ x13 : ο . x13) ⟶ (x8 = x12 ⟶ ∀ x13 : ο . x13) ⟶ (x9 = x12 ⟶ ∀ x13 : ο . x13) ⟶ (x10 = x12 ⟶ ∀ x13 : ο . x13) ⟶ (x11 = x12 ⟶ ∀ x13 : ο . x13) ⟶ atleastp u12 x0 (proof)
Definition u13 := ordsucc u12
Theorem 6fc5a.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x14 : ο . x14) ⟶ (x1 = x3 ⟶ ∀ x14 : ο . x14) ⟶ (x2 = x3 ⟶ ∀ x14 : ο . x14) ⟶ (x1 = x4 ⟶ ∀ x14 : ο . x14) ⟶ (x2 = x4 ⟶ ∀ x14 : ο . x14) ⟶ (x3 = x4 ⟶ ∀ x14 : ο . x14) ⟶ (x1 = x5 ⟶ ∀ x14 : ο . x14) ⟶ (x2 = x5 ⟶ ∀ x14 : ο . x14) ⟶ (x3 = x5 ⟶ ∀ x14 : ο . x14) ⟶ (x4 = x5 ⟶ ∀ x14 : ο . x14) ⟶ (x1 = x6 ⟶ ∀ x14 : ο . x14) ⟶ (x2 = x6 ⟶ ∀ x14 : ο . x14) ⟶ (x3 = x6 ⟶ ∀ x14 : ο . x14) ⟶ (x4 = x6 ⟶ ∀ x14 : ο . x14) ⟶ (x5 = x6 ⟶ ∀ x14 : ο . x14) ⟶ (x1 = x7 ⟶ ∀ x14 : ο . x14) ⟶ (x2 = x7 ⟶ ∀ x14 : ο . x14) ⟶ (x3 = x7 ⟶ ∀ x14 : ο . x14) ⟶ (x4 = x7 ⟶ ∀ x14 : ο . x14) ⟶ (x5 = x7 ⟶ ∀ x14 : ο . x14) ⟶ (x6 = x7 ⟶ ∀ x14 : ο . x14) ⟶ (x1 = x8 ⟶ ∀ x14 : ο . x14) ⟶ (x2 = x8 ⟶ ∀ x14 : ο . x14) ⟶ (x3 = x8 ⟶ ∀ x14 : ο . x14) ⟶ (x4 = x8 ⟶ ∀ x14 : ο . x14) ⟶ (x5 = x8 ⟶ ∀ x14 : ο . x14) ⟶ (x6 = x8 ⟶ ∀ x14 : ο . x14) ⟶ (x7 = x8 ⟶ ∀ x14 : ο . x14) ⟶ (x1 = x9 ⟶ ∀ x14 : ο . x14) ⟶ (x2 = x9 ⟶ ∀ x14 : ο . x14) ⟶ (x3 = x9 ⟶ ∀ x14 : ο . x14) ⟶ (x4 = x9 ⟶ ∀ x14 : ο . x14) ⟶ (x5 = x9 ⟶ ∀ x14 : ο . x14) ⟶ (x6 = x9 ⟶ ∀ x14 : ο . x14) ⟶ (x7 = x9 ⟶ ∀ x14 : ο . x14) ⟶ (x8 = x9 ⟶ ∀ x14 : ο . x14) ⟶ (x1 = x10 ⟶ ∀ x14 : ο . x14) ⟶ (x2 = x10 ⟶ ∀ x14 : ο . x14) ⟶ (x3 = x10 ⟶ ∀ x14 : ο . x14) ⟶ (x4 = x10 ⟶ ∀ x14 : ο . x14) ⟶ (x5 = x10 ⟶ ∀ x14 : ο . x14) ⟶ (x6 = x10 ⟶ ∀ x14 : ο . x14) ⟶ (x7 = x10 ⟶ ∀ x14 : ο . x14) ⟶ (x8 = x10 ⟶ ∀ x14 : ο . x14) ⟶ (x9 = x10 ⟶ ∀ x14 : ο . x14) ⟶ (x1 = x11 ⟶ ∀ x14 : ο . x14) ⟶ (x2 = x11 ⟶ ∀ x14 : ο . x14) ⟶ (x3 = x11 ⟶ ∀ x14 : ο . x14) ⟶ (x4 = x11 ⟶ ∀ x14 : ο . x14) ⟶ (x5 = x11 ⟶ ∀ x14 : ο . x14) ⟶ (x6 = x11 ⟶ ∀ x14 : ο . x14) ⟶ (x7 = x11 ⟶ ∀ x14 : ο . x14) ⟶ (x8 = x11 ⟶ ∀ x14 : ο . x14) ⟶ (x9 = x11 ⟶ ∀ x14 : ο . x14) ⟶ (x10 = x11 ⟶ ∀ x14 : ο . x14) ⟶ (x1 = x12 ⟶ ∀ x14 : ο . x14) ⟶ (x2 = x12 ⟶ ∀ x14 : ο . x14) ⟶ (x3 = x12 ⟶ ∀ x14 : ο . x14) ⟶ (x4 = x12 ⟶ ∀ x14 : ο . x14) ⟶ (x5 = x12 ⟶ ∀ x14 : ο . x14) ⟶ (x6 = x12 ⟶ ∀ x14 : ο . x14) ⟶ (x7 = x12 ⟶ ∀ x14 : ο . x14) ⟶ (x8 = x12 ⟶ ∀ x14 : ο . x14) ⟶ (x9 = x12 ⟶ ∀ x14 : ο . x14) ⟶ (x10 = x12 ⟶ ∀ x14 : ο . x14) ⟶ (x11 = x12 ⟶ ∀ x14 : ο . x14) ⟶ (x1 = x13 ⟶ ∀ x14 : ο . x14) ⟶ (x2 = x13 ⟶ ∀ x14 : ο . x14) ⟶ (x3 = x13 ⟶ ∀ x14 : ο . x14) ⟶ (x4 = x13 ⟶ ∀ x14 : ο . x14) ⟶ (x5 = x13 ⟶ ∀ x14 : ο . x14) ⟶ (x6 = x13 ⟶ ∀ x14 : ο . x14) ⟶ (x7 = x13 ⟶ ∀ x14 : ο . x14) ⟶ (x8 = x13 ⟶ ∀ x14 : ο . x14) ⟶ (x9 = x13 ⟶ ∀ x14 : ο . x14) ⟶ (x10 = x13 ⟶ ∀ x14 : ο . x14) ⟶ (x11 = x13 ⟶ ∀ x14 : ο . x14) ⟶ (x12 = x13 ⟶ ∀ x14 : ο . x14) ⟶ atleastp u13 x0 (proof)
Definition u14 := ordsucc u13
Theorem 1565e.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x15 : ο . x15) ⟶ (x1 = x3 ⟶ ∀ x15 : ο . x15) ⟶ (x2 = x3 ⟶ ∀ x15 : ο . x15) ⟶ (x1 = x4 ⟶ ∀ x15 : ο . x15) ⟶ (x2 = x4 ⟶ ∀ x15 : ο . x15) ⟶ (x3 = x4 ⟶ ∀ x15 : ο . x15) ⟶ (x1 = x5 ⟶ ∀ x15 : ο . x15) ⟶ (x2 = x5 ⟶ ∀ x15 : ο . x15) ⟶ (x3 = x5 ⟶ ∀ x15 : ο . x15) ⟶ (x4 = x5 ⟶ ∀ x15 : ο . x15) ⟶ (x1 = x6 ⟶ ∀ x15 : ο . x15) ⟶ (x2 = x6 ⟶ ∀ x15 : ο . x15) ⟶ (x3 = x6 ⟶ ∀ x15 : ο . x15) ⟶ (x4 = x6 ⟶ ∀ x15 : ο . x15) ⟶ (x5 = x6 ⟶ ∀ x15 : ο . x15) ⟶ (x1 = x7 ⟶ ∀ x15 : ο . x15) ⟶ (x2 = x7 ⟶ ∀ x15 : ο . x15) ⟶ (x3 = x7 ⟶ ∀ x15 : ο . x15) ⟶ (x4 = x7 ⟶ ∀ x15 : ο . x15) ⟶ (x5 = x7 ⟶ ∀ x15 : ο . x15) ⟶ (x6 = x7 ⟶ ∀ x15 : ο . x15) ⟶ (x1 = x8 ⟶ ∀ x15 : ο . x15) ⟶ (x2 = x8 ⟶ ∀ x15 : ο . x15) ⟶ (x3 = x8 ⟶ ∀ x15 : ο . x15) ⟶ (x4 = x8 ⟶ ∀ x15 : ο . x15) ⟶ (x5 = x8 ⟶ ∀ x15 : ο . x15) ⟶ (x6 = x8 ⟶ ∀ x15 : ο . x15) ⟶ (x7 = x8 ⟶ ∀ x15 : ο . x15) ⟶ (x1 = x9 ⟶ ∀ x15 : ο . x15) ⟶ (x2 = x9 ⟶ ∀ x15 : ο . x15) ⟶ (x3 = x9 ⟶ ∀ x15 : ο . x15) ⟶ (x4 = x9 ⟶ ∀ x15 : ο . x15) ⟶ (x5 = x9 ⟶ ∀ x15 : ο . x15) ⟶ (x6 = x9 ⟶ ∀ x15 : ο . x15) ⟶ (x7 = x9 ⟶ ∀ x15 : ο . x15) ⟶ (x8 = x9 ⟶ ∀ x15 : ο . x15) ⟶ (x1 = x10 ⟶ ∀ x15 : ο . x15) ⟶ (x2 = x10 ⟶ ∀ x15 : ο . x15) ⟶ (x3 = x10 ⟶ ∀ x15 : ο . x15) ⟶ (x4 = x10 ⟶ ∀ x15 : ο . x15) ⟶ (x5 = x10 ⟶ ∀ x15 : ο . x15) ⟶ (x6 = x10 ⟶ ∀ x15 : ο . x15) ⟶ (x7 = x10 ⟶ ∀ x15 : ο . x15) ⟶ (x8 = x10 ⟶ ∀ x15 : ο . x15) ⟶ (x9 = x10 ⟶ ∀ x15 : ο . x15) ⟶ (x1 = x11 ⟶ ∀ x15 : ο . x15) ⟶ (x2 = x11 ⟶ ∀ x15 : ο . x15) ⟶ (x3 = x11 ⟶ ∀ x15 : ο . x15) ⟶ (x4 = x11 ⟶ ∀ x15 : ο . x15) ⟶ (x5 = x11 ⟶ ∀ x15 : ο . x15) ⟶ (x6 = x11 ⟶ ∀ x15 : ο . x15) ⟶ (x7 = x11 ⟶ ∀ x15 : ο . x15) ⟶ (x8 = x11 ⟶ ∀ x15 : ο . x15) ⟶ (x9 = x11 ⟶ ∀ x15 : ο . x15) ⟶ (x10 = x11 ⟶ ∀ x15 : ο . x15) ⟶ (x1 = x12 ⟶ ∀ x15 : ο . x15) ⟶ (x2 = x12 ⟶ ∀ x15 : ο . x15) ⟶ (x3 = x12 ⟶ ∀ x15 : ο . x15) ⟶ (x4 = x12 ⟶ ∀ x15 : ο . x15) ⟶ (x5 = x12 ⟶ ∀ x15 : ο . x15) ⟶ (x6 = x12 ⟶ ∀ x15 : ο . x15) ⟶ (x7 = x12 ⟶ ∀ x15 : ο . x15) ⟶ (x8 = x12 ⟶ ∀ x15 : ο . x15) ⟶ (x9 = x12 ⟶ ∀ x15 : ο . x15) ⟶ (x10 = x12 ⟶ ∀ x15 : ο . x15) ⟶ (x11 = x12 ⟶ ∀ x15 : ο . x15) ⟶ (x1 = x13 ⟶ ∀ x15 : ο . x15) ⟶ (x2 = x13 ⟶ ∀ x15 : ο . x15) ⟶ (x3 = x13 ⟶ ∀ x15 : ο . x15) ⟶ (x4 = x13 ⟶ ∀ x15 : ο . x15) ⟶ (x5 = x13 ⟶ ∀ x15 : ο . x15) ⟶ (x6 = x13 ⟶ ∀ x15 : ο . x15) ⟶ (x7 = x13 ⟶ ∀ x15 : ο . x15) ⟶ (x8 = x13 ⟶ ∀ x15 : ο . x15) ⟶ (x9 = x13 ⟶ ∀ x15 : ο . x15) ⟶ (x10 = x13 ⟶ ∀ x15 : ο . x15) ⟶ (x11 = x13 ⟶ ∀ x15 : ο . x15) ⟶ (x12 = x13 ⟶ ∀ x15 : ο . x15) ⟶ (x1 = x14 ⟶ ∀ x15 : ο . x15) ⟶ (x2 = x14 ⟶ ∀ x15 : ο . x15) ⟶ (x3 = x14 ⟶ ∀ x15 : ο . x15) ⟶ (x4 = x14 ⟶ ∀ x15 : ο . x15) ⟶ (x5 = x14 ⟶ ∀ x15 : ο . x15) ⟶ (x6 = x14 ⟶ ∀ x15 : ο . x15) ⟶ (x7 = x14 ⟶ ∀ x15 : ο . x15) ⟶ (x8 = x14 ⟶ ∀ x15 : ο . x15) ⟶ (x9 = x14 ⟶ ∀ x15 : ο . x15) ⟶ (x10 = x14 ⟶ ∀ x15 : ο . x15) ⟶ (x11 = x14 ⟶ ∀ x15 : ο . x15) ⟶ (x12 = x14 ⟶ ∀ x15 : ο . x15) ⟶ (x13 = x14 ⟶ ∀ x15 : ο . x15) ⟶ atleastp u14 x0 (proof)
Definition u15 := ordsucc u14
Theorem 1fbf0.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x16 : ο . x16) ⟶ (x1 = x3 ⟶ ∀ x16 : ο . x16) ⟶ (x2 = x3 ⟶ ∀ x16 : ο . x16) ⟶ (x1 = x4 ⟶ ∀ x16 : ο . x16) ⟶ (x2 = x4 ⟶ ∀ x16 : ο . x16) ⟶ (x3 = x4 ⟶ ∀ x16 : ο . x16) ⟶ (x1 = x5 ⟶ ∀ x16 : ο . x16) ⟶ (x2 = x5 ⟶ ∀ x16 : ο . x16) ⟶ (x3 = x5 ⟶ ∀ x16 : ο . x16) ⟶ (x4 = x5 ⟶ ∀ x16 : ο . x16) ⟶ (x1 = x6 ⟶ ∀ x16 : ο . x16) ⟶ (x2 = x6 ⟶ ∀ x16 : ο . x16) ⟶ (x3 = x6 ⟶ ∀ x16 : ο . x16) ⟶ (x4 = x6 ⟶ ∀ x16 : ο . x16) ⟶ (x5 = x6 ⟶ ∀ x16 : ο . x16) ⟶ (x1 = x7 ⟶ ∀ x16 : ο . x16) ⟶ (x2 = x7 ⟶ ∀ x16 : ο . x16) ⟶ (x3 = x7 ⟶ ∀ x16 : ο . x16) ⟶ (x4 = x7 ⟶ ∀ x16 : ο . x16) ⟶ (x5 = x7 ⟶ ∀ x16 : ο . x16) ⟶ (x6 = x7 ⟶ ∀ x16 : ο . x16) ⟶ (x1 = x8 ⟶ ∀ x16 : ο . x16) ⟶ (x2 = x8 ⟶ ∀ x16 : ο . x16) ⟶ (x3 = x8 ⟶ ∀ x16 : ο . x16) ⟶ (x4 = x8 ⟶ ∀ x16 : ο . x16) ⟶ (x5 = x8 ⟶ ∀ x16 : ο . x16) ⟶ (x6 = x8 ⟶ ∀ x16 : ο . x16) ⟶ (x7 = x8 ⟶ ∀ x16 : ο . x16) ⟶ (x1 = x9 ⟶ ∀ x16 : ο . x16) ⟶ (x2 = x9 ⟶ ∀ x16 : ο . x16) ⟶ (x3 = x9 ⟶ ∀ x16 : ο . x16) ⟶ (x4 = x9 ⟶ ∀ x16 : ο . x16) ⟶ (x5 = x9 ⟶ ∀ x16 : ο . x16) ⟶ (x6 = x9 ⟶ ∀ x16 : ο . x16) ⟶ (x7 = x9 ⟶ ∀ x16 : ο . x16) ⟶ (x8 = x9 ⟶ ∀ x16 : ο . x16) ⟶ (x1 = x10 ⟶ ∀ x16 : ο . x16) ⟶ (x2 = x10 ⟶ ∀ x16 : ο . x16) ⟶ (x3 = x10 ⟶ ∀ x16 : ο . x16) ⟶ (x4 = x10 ⟶ ∀ x16 : ο . x16) ⟶ (x5 = x10 ⟶ ∀ x16 : ο . x16) ⟶ (x6 = x10 ⟶ ∀ x16 : ο . x16) ⟶ (x7 = x10 ⟶ ∀ x16 : ο . x16) ⟶ (x8 = x10 ⟶ ∀ x16 : ο . x16) ⟶ (x9 = x10 ⟶ ∀ x16 : ο . x16) ⟶ (x1 = x11 ⟶ ∀ x16 : ο . x16) ⟶ (x2 = x11 ⟶ ∀ x16 : ο . x16) ⟶ (x3 = x11 ⟶ ∀ x16 : ο . x16) ⟶ (x4 = x11 ⟶ ∀ x16 : ο . x16) ⟶ (x5 = x11 ⟶ ∀ x16 : ο . x16) ⟶ (x6 = x11 ⟶ ∀ x16 : ο . x16) ⟶ (x7 = x11 ⟶ ∀ x16 : ο . x16) ⟶ (x8 = x11 ⟶ ∀ x16 : ο . x16) ⟶ (x9 = x11 ⟶ ∀ x16 : ο . x16) ⟶ (x10 = x11 ⟶ ∀ x16 : ο . x16) ⟶ (x1 = x12 ⟶ ∀ x16 : ο . x16) ⟶ (x2 = x12 ⟶ ∀ x16 : ο . x16) ⟶ (x3 = x12 ⟶ ∀ x16 : ο . x16) ⟶ (x4 = x12 ⟶ ∀ x16 : ο . x16) ⟶ (x5 = x12 ⟶ ∀ x16 : ο . x16) ⟶ (x6 = x12 ⟶ ∀ x16 : ο . x16) ⟶ (x7 = x12 ⟶ ∀ x16 : ο . x16) ⟶ (x8 = x12 ⟶ ∀ x16 : ο . x16) ⟶ (x9 = x12 ⟶ ∀ x16 : ο . x16) ⟶ (x10 = x12 ⟶ ∀ x16 : ο . x16) ⟶ (x11 = x12 ⟶ ∀ x16 : ο . x16) ⟶ (x1 = x13 ⟶ ∀ x16 : ο . x16) ⟶ (x2 = x13 ⟶ ∀ x16 : ο . x16) ⟶ (x3 = x13 ⟶ ∀ x16 : ο . x16) ⟶ (x4 = x13 ⟶ ∀ x16 : ο . x16) ⟶ (x5 = x13 ⟶ ∀ x16 : ο . x16) ⟶ (x6 = x13 ⟶ ∀ x16 : ο . x16) ⟶ (x7 = x13 ⟶ ∀ x16 : ο . x16) ⟶ (x8 = x13 ⟶ ∀ x16 : ο . x16) ⟶ (x9 = x13 ⟶ ∀ x16 : ο . x16) ⟶ (x10 = x13 ⟶ ∀ x16 : ο . x16) ⟶ (x11 = x13 ⟶ ∀ x16 : ο . x16) ⟶ (x12 = x13 ⟶ ∀ x16 : ο . x16) ⟶ (x1 = x14 ⟶ ∀ x16 : ο . x16) ⟶ (x2 = x14 ⟶ ∀ x16 : ο . x16) ⟶ (x3 = x14 ⟶ ∀ x16 : ο . x16) ⟶ (x4 = x14 ⟶ ∀ x16 : ο . x16) ⟶ (x5 = x14 ⟶ ∀ x16 : ο . x16) ⟶ (x6 = x14 ⟶ ∀ x16 : ο . x16) ⟶ (x7 = x14 ⟶ ∀ x16 : ο . x16) ⟶ (x8 = x14 ⟶ ∀ x16 : ο . x16) ⟶ (x9 = x14 ⟶ ∀ x16 : ο . x16) ⟶ (x10 = x14 ⟶ ∀ x16 : ο . x16) ⟶ (x11 = x14 ⟶ ∀ x16 : ο . x16) ⟶ (x12 = x14 ⟶ ∀ x16 : ο . x16) ⟶ (x13 = x14 ⟶ ∀ x16 : ο . x16) ⟶ (x1 = x15 ⟶ ∀ x16 : ο . x16) ⟶ (x2 = x15 ⟶ ∀ x16 : ο . x16) ⟶ (x3 = x15 ⟶ ∀ x16 : ο . x16) ⟶ (x4 = x15 ⟶ ∀ x16 : ο . x16) ⟶ (x5 = x15 ⟶ ∀ x16 : ο . x16) ⟶ (x6 = x15 ⟶ ∀ x16 : ο . x16) ⟶ (x7 = x15 ⟶ ∀ x16 : ο . x16) ⟶ (x8 = x15 ⟶ ∀ x16 : ο . x16) ⟶ (x9 = x15 ⟶ ∀ x16 : ο . x16) ⟶ (x10 = x15 ⟶ ∀ x16 : ο . x16) ⟶ (x11 = x15 ⟶ ∀ x16 : ο . x16) ⟶ (x12 = x15 ⟶ ∀ x16 : ο . x16) ⟶ (x13 = x15 ⟶ ∀ x16 : ο . x16) ⟶ (x14 = x15 ⟶ ∀ x16 : ο . x16) ⟶ atleastp u15 x0 (proof)
Definition u16 := ordsucc u15
Theorem 24b48.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x17 : ο . x17) ⟶ (x1 = x3 ⟶ ∀ x17 : ο . x17) ⟶ (x2 = x3 ⟶ ∀ x17 : ο . x17) ⟶ (x1 = x4 ⟶ ∀ x17 : ο . x17) ⟶ (x2 = x4 ⟶ ∀ x17 : ο . x17) ⟶ (x3 = x4 ⟶ ∀ x17 : ο . x17) ⟶ (x1 = x5 ⟶ ∀ x17 : ο . x17) ⟶ (x2 = x5 ⟶ ∀ x17 : ο . x17) ⟶ (x3 = x5 ⟶ ∀ x17 : ο . x17) ⟶ (x4 = x5 ⟶ ∀ x17 : ο . x17) ⟶ (x1 = x6 ⟶ ∀ x17 : ο . x17) ⟶ (x2 = x6 ⟶ ∀ x17 : ο . x17) ⟶ (x3 = x6 ⟶ ∀ x17 : ο . x17) ⟶ (x4 = x6 ⟶ ∀ x17 : ο . x17) ⟶ (x5 = x6 ⟶ ∀ x17 : ο . x17) ⟶ (x1 = x7 ⟶ ∀ x17 : ο . x17) ⟶ (x2 = x7 ⟶ ∀ x17 : ο . x17) ⟶ (x3 = x7 ⟶ ∀ x17 : ο . x17) ⟶ (x4 = x7 ⟶ ∀ x17 : ο . x17) ⟶ (x5 = x7 ⟶ ∀ x17 : ο . x17) ⟶ (x6 = x7 ⟶ ∀ x17 : ο . x17) ⟶ (x1 = x8 ⟶ ∀ x17 : ο . x17) ⟶ (x2 = x8 ⟶ ∀ x17 : ο . x17) ⟶ (x3 = x8 ⟶ ∀ x17 : ο . x17) ⟶ (x4 = x8 ⟶ ∀ x17 : ο . x17) ⟶ (x5 = x8 ⟶ ∀ x17 : ο . x17) ⟶ (x6 = x8 ⟶ ∀ x17 : ο . x17) ⟶ (x7 = x8 ⟶ ∀ x17 : ο . x17) ⟶ (x1 = x9 ⟶ ∀ x17 : ο . x17) ⟶ (x2 = x9 ⟶ ∀ x17 : ο . x17) ⟶ (x3 = x9 ⟶ ∀ x17 : ο . x17) ⟶ (x4 = x9 ⟶ ∀ x17 : ο . x17) ⟶ (x5 = x9 ⟶ ∀ x17 : ο . x17) ⟶ (x6 = x9 ⟶ ∀ x17 : ο . x17) ⟶ (x7 = x9 ⟶ ∀ x17 : ο . x17) ⟶ (x8 = x9 ⟶ ∀ x17 : ο . x17) ⟶ (x1 = x10 ⟶ ∀ x17 : ο . x17) ⟶ (x2 = x10 ⟶ ∀ x17 : ο . x17) ⟶ (x3 = x10 ⟶ ∀ x17 : ο . x17) ⟶ (x4 = x10 ⟶ ∀ x17 : ο . x17) ⟶ (x5 = x10 ⟶ ∀ x17 : ο . x17) ⟶ (x6 = x10 ⟶ ∀ x17 : ο . x17) ⟶ (x7 = x10 ⟶ ∀ x17 : ο . x17) ⟶ (x8 = x10 ⟶ ∀ x17 : ο . x17) ⟶ (x9 = x10 ⟶ ∀ x17 : ο . x17) ⟶ (x1 = x11 ⟶ ∀ x17 : ο . x17) ⟶ (x2 = x11 ⟶ ∀ x17 : ο . x17) ⟶ (x3 = x11 ⟶ ∀ x17 : ο . x17) ⟶ (x4 = x11 ⟶ ∀ x17 : ο . x17) ⟶ (x5 = x11 ⟶ ∀ x17 : ο . x17) ⟶ (x6 = x11 ⟶ ∀ x17 : ο . x17) ⟶ (x7 = x11 ⟶ ∀ x17 : ο . x17) ⟶ (x8 = x11 ⟶ ∀ x17 : ο . x17) ⟶ (x9 = x11 ⟶ ∀ x17 : ο . x17) ⟶ (x10 = x11 ⟶ ∀ x17 : ο . x17) ⟶ (x1 = x12 ⟶ ∀ x17 : ο . x17) ⟶ (x2 = x12 ⟶ ∀ x17 : ο . x17) ⟶ (x3 = x12 ⟶ ∀ x17 : ο . x17) ⟶ (x4 = x12 ⟶ ∀ x17 : ο . x17) ⟶ (x5 = x12 ⟶ ∀ x17 : ο . x17) ⟶ (x6 = x12 ⟶ ∀ x17 : ο . x17) ⟶ (x7 = x12 ⟶ ∀ x17 : ο . x17) ⟶ (x8 = x12 ⟶ ∀ x17 : ο . x17) ⟶ (x9 = x12 ⟶ ∀ x17 : ο . x17) ⟶ (x10 = x12 ⟶ ∀ x17 : ο . x17) ⟶ (x11 = x12 ⟶ ∀ x17 : ο . x17) ⟶ (x1 = x13 ⟶ ∀ x17 : ο . x17) ⟶ (x2 = x13 ⟶ ∀ x17 : ο . x17) ⟶ (x3 = x13 ⟶ ∀ x17 : ο . x17) ⟶ (x4 = x13 ⟶ ∀ x17 : ο . x17) ⟶ (x5 = x13 ⟶ ∀ x17 : ο . x17) ⟶ (x6 = x13 ⟶ ∀ x17 : ο . x17) ⟶ (x7 = x13 ⟶ ∀ x17 : ο . x17) ⟶ (x8 = x13 ⟶ ∀ x17 : ο . x17) ⟶ (x9 = x13 ⟶ ∀ x17 : ο . x17) ⟶ (x10 = x13 ⟶ ∀ x17 : ο . x17) ⟶ (x11 = x13 ⟶ ∀ x17 : ο . x17) ⟶ (x12 = x13 ⟶ ∀ x17 : ο . x17) ⟶ (x1 = x14 ⟶ ∀ x17 : ο . x17) ⟶ (x2 = x14 ⟶ ∀ x17 : ο . x17) ⟶ (x3 = x14 ⟶ ∀ x17 : ο . x17) ⟶ (x4 = x14 ⟶ ∀ x17 : ο . x17) ⟶ (x5 = x14 ⟶ ∀ x17 : ο . x17) ⟶ (x6 = x14 ⟶ ∀ x17 : ο . x17) ⟶ (x7 = x14 ⟶ ∀ x17 : ο . x17) ⟶ (x8 = x14 ⟶ ∀ x17 : ο . x17) ⟶ (x9 = x14 ⟶ ∀ x17 : ο . x17) ⟶ (x10 = x14 ⟶ ∀ x17 : ο . x17) ⟶ (x11 = x14 ⟶ ∀ x17 : ο . x17) ⟶ (x12 = x14 ⟶ ∀ x17 : ο . x17) ⟶ (x13 = x14 ⟶ ∀ x17 : ο . x17) ⟶ (x1 = x15 ⟶ ∀ x17 : ο . x17) ⟶ (x2 = x15 ⟶ ∀ x17 : ο . x17) ⟶ (x3 = x15 ⟶ ∀ x17 : ο . x17) ⟶ (x4 = x15 ⟶ ∀ x17 : ο . x17) ⟶ (x5 = x15 ⟶ ∀ x17 : ο . x17) ⟶ (x6 = x15 ⟶ ∀ x17 : ο . x17) ⟶ (x7 = x15 ⟶ ∀ x17 : ο . x17) ⟶ (x8 = x15 ⟶ ∀ x17 : ο . x17) ⟶ (x9 = x15 ⟶ ∀ x17 : ο . x17) ⟶ (x10 = x15 ⟶ ∀ x17 : ο . x17) ⟶ (x11 = x15 ⟶ ∀ x17 : ο . x17) ⟶ (x12 = x15 ⟶ ∀ x17 : ο . x17) ⟶ (x13 = x15 ⟶ ∀ x17 : ο . x17) ⟶ (x14 = x15 ⟶ ∀ x17 : ο . x17) ⟶ (x1 = x16 ⟶ ∀ x17 : ο . x17) ⟶ (x2 = x16 ⟶ ∀ x17 : ο . x17) ⟶ (x3 = x16 ⟶ ∀ x17 : ο . x17) ⟶ (x4 = x16 ⟶ ∀ x17 : ο . x17) ⟶ (x5 = x16 ⟶ ∀ x17 : ο . x17) ⟶ (x6 = x16 ⟶ ∀ x17 : ο . x17) ⟶ (x7 = x16 ⟶ ∀ x17 : ο . x17) ⟶ (x8 = x16 ⟶ ∀ x17 : ο . x17) ⟶ (x9 = x16 ⟶ ∀ x17 : ο . x17) ⟶ (x10 = x16 ⟶ ∀ x17 : ο . x17) ⟶ (x11 = x16 ⟶ ∀ x17 : ο . x17) ⟶ (x12 = x16 ⟶ ∀ x17 : ο . x17) ⟶ (x13 = x16 ⟶ ∀ x17 : ο . x17) ⟶ (x14 = x16 ⟶ ∀ x17 : ο . x17) ⟶ (x15 = x16 ⟶ ∀ x17 : ο . x17) ⟶ atleastp u16 x0 (proof)
Definition u17 := ordsucc u16
Theorem 9efa7.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x18 : ο . x18) ⟶ (x1 = x3 ⟶ ∀ x18 : ο . x18) ⟶ (x2 = x3 ⟶ ∀ x18 : ο . x18) ⟶ (x1 = x4 ⟶ ∀ x18 : ο . x18) ⟶ (x2 = x4 ⟶ ∀ x18 : ο . x18) ⟶ (x3 = x4 ⟶ ∀ x18 : ο . x18) ⟶ (x1 = x5 ⟶ ∀ x18 : ο . x18) ⟶ (x2 = x5 ⟶ ∀ x18 : ο . x18) ⟶ (x3 = x5 ⟶ ∀ x18 : ο . x18) ⟶ (x4 = x5 ⟶ ∀ x18 : ο . x18) ⟶ (x1 = x6 ⟶ ∀ x18 : ο . x18) ⟶ (x2 = x6 ⟶ ∀ x18 : ο . x18) ⟶ (x3 = x6 ⟶ ∀ x18 : ο . x18) ⟶ (x4 = x6 ⟶ ∀ x18 : ο . x18) ⟶ (x5 = x6 ⟶ ∀ x18 : ο . x18) ⟶ (x1 = x7 ⟶ ∀ x18 : ο . x18) ⟶ (x2 = x7 ⟶ ∀ x18 : ο . x18) ⟶ (x3 = x7 ⟶ ∀ x18 : ο . x18) ⟶ (x4 = x7 ⟶ ∀ x18 : ο . x18) ⟶ (x5 = x7 ⟶ ∀ x18 : ο . x18) ⟶ (x6 = x7 ⟶ ∀ x18 : ο . x18) ⟶ (x1 = x8 ⟶ ∀ x18 : ο . x18) ⟶ (x2 = x8 ⟶ ∀ x18 : ο . x18) ⟶ (x3 = x8 ⟶ ∀ x18 : ο . x18) ⟶ (x4 = x8 ⟶ ∀ x18 : ο . x18) ⟶ (x5 = x8 ⟶ ∀ x18 : ο . x18) ⟶ (x6 = x8 ⟶ ∀ x18 : ο . x18) ⟶ (x7 = x8 ⟶ ∀ x18 : ο . x18) ⟶ (x1 = x9 ⟶ ∀ x18 : ο . x18) ⟶ (x2 = x9 ⟶ ∀ x18 : ο . x18) ⟶ (x3 = x9 ⟶ ∀ x18 : ο . x18) ⟶ (x4 = x9 ⟶ ∀ x18 : ο . x18) ⟶ (x5 = x9 ⟶ ∀ x18 : ο . x18) ⟶ (x6 = x9 ⟶ ∀ x18 : ο . x18) ⟶ (x7 = x9 ⟶ ∀ x18 : ο . x18) ⟶ (x8 = x9 ⟶ ∀ x18 : ο . x18) ⟶ (x1 = x10 ⟶ ∀ x18 : ο . x18) ⟶ (x2 = x10 ⟶ ∀ x18 : ο . x18) ⟶ (x3 = x10 ⟶ ∀ x18 : ο . x18) ⟶ (x4 = x10 ⟶ ∀ x18 : ο . x18) ⟶ (x5 = x10 ⟶ ∀ x18 : ο . x18) ⟶ (x6 = x10 ⟶ ∀ x18 : ο . x18) ⟶ (x7 = x10 ⟶ ∀ x18 : ο . x18) ⟶ (x8 = x10 ⟶ ∀ x18 : ο . x18) ⟶ (x9 = x10 ⟶ ∀ x18 : ο . x18) ⟶ (x1 = x11 ⟶ ∀ x18 : ο . x18) ⟶ (x2 = x11 ⟶ ∀ x18 : ο . x18) ⟶ (x3 = x11 ⟶ ∀ x18 : ο . x18) ⟶ (x4 = x11 ⟶ ∀ x18 : ο . x18) ⟶ (x5 = x11 ⟶ ∀ x18 : ο . x18) ⟶ (x6 = x11 ⟶ ∀ x18 : ο . x18) ⟶ (x7 = x11 ⟶ ∀ x18 : ο . x18) ⟶ (x8 = x11 ⟶ ∀ x18 : ο . x18) ⟶ (x9 = x11 ⟶ ∀ x18 : ο . x18) ⟶ (x10 = x11 ⟶ ∀ x18 : ο . x18) ⟶ (x1 = x12 ⟶ ∀ x18 : ο . x18) ⟶ (x2 = x12 ⟶ ∀ x18 : ο . x18) ⟶ (x3 = x12 ⟶ ∀ x18 : ο . x18) ⟶ (x4 = x12 ⟶ ∀ x18 : ο . x18) ⟶ (x5 = x12 ⟶ ∀ x18 : ο . x18) ⟶ (x6 = x12 ⟶ ∀ x18 : ο . x18) ⟶ (x7 = x12 ⟶ ∀ x18 : ο . x18) ⟶ (x8 = x12 ⟶ ∀ x18 : ο . x18) ⟶ (x9 = x12 ⟶ ∀ x18 : ο . x18) ⟶ (x10 = x12 ⟶ ∀ x18 : ο . x18) ⟶ (x11 = x12 ⟶ ∀ x18 : ο . x18) ⟶ (x1 = x13 ⟶ ∀ x18 : ο . x18) ⟶ (x2 = x13 ⟶ ∀ x18 : ο . x18) ⟶ (x3 = x13 ⟶ ∀ x18 : ο . x18) ⟶ (x4 = x13 ⟶ ∀ x18 : ο . x18) ⟶ (x5 = x13 ⟶ ∀ x18 : ο . x18) ⟶ (x6 = x13 ⟶ ∀ x18 : ο . x18) ⟶ (x7 = x13 ⟶ ∀ x18 : ο . x18) ⟶ (x8 = x13 ⟶ ∀ x18 : ο . x18) ⟶ (x9 = x13 ⟶ ∀ x18 : ο . x18) ⟶ (x10 = x13 ⟶ ∀ x18 : ο . x18) ⟶ (x11 = x13 ⟶ ∀ x18 : ο . x18) ⟶ (x12 = x13 ⟶ ∀ x18 : ο . x18) ⟶ (x1 = x14 ⟶ ∀ x18 : ο . x18) ⟶ (x2 = x14 ⟶ ∀ x18 : ο . x18) ⟶ (x3 = x14 ⟶ ∀ x18 : ο . x18) ⟶ (x4 = x14 ⟶ ∀ x18 : ο . x18) ⟶ (x5 = x14 ⟶ ∀ x18 : ο . x18) ⟶ (x6 = x14 ⟶ ∀ x18 : ο . x18) ⟶ (x7 = x14 ⟶ ∀ x18 : ο . x18) ⟶ (x8 = x14 ⟶ ∀ x18 : ο . x18) ⟶ (x9 = x14 ⟶ ∀ x18 : ο . x18) ⟶ (x10 = x14 ⟶ ∀ x18 : ο . x18) ⟶ (x11 = x14 ⟶ ∀ x18 : ο . x18) ⟶ (x12 = x14 ⟶ ∀ x18 : ο . x18) ⟶ (x13 = x14 ⟶ ∀ x18 : ο . x18) ⟶ (x1 = x15 ⟶ ∀ x18 : ο . x18) ⟶ (x2 = x15 ⟶ ∀ x18 : ο . x18) ⟶ (x3 = x15 ⟶ ∀ x18 : ο . x18) ⟶ (x4 = x15 ⟶ ∀ x18 : ο . x18) ⟶ (x5 = x15 ⟶ ∀ x18 : ο . x18) ⟶ (x6 = x15 ⟶ ∀ x18 : ο . x18) ⟶ (x7 = x15 ⟶ ∀ x18 : ο . x18) ⟶ (x8 = x15 ⟶ ∀ x18 : ο . x18) ⟶ (x9 = x15 ⟶ ∀ x18 : ο . x18) ⟶ (x10 = x15 ⟶ ∀ x18 : ο . x18) ⟶ (x11 = x15 ⟶ ∀ x18 : ο . x18) ⟶ (x12 = x15 ⟶ ∀ x18 : ο . x18) ⟶ (x13 = x15 ⟶ ∀ x18 : ο . x18) ⟶ (x14 = x15 ⟶ ∀ x18 : ο . x18) ⟶ (x1 = x16 ⟶ ∀ x18 : ο . x18) ⟶ (x2 = x16 ⟶ ∀ x18 : ο . x18) ⟶ (x3 = x16 ⟶ ∀ x18 : ο . x18) ⟶ (x4 = x16 ⟶ ∀ x18 : ο . x18) ⟶ (x5 = x16 ⟶ ∀ x18 : ο . x18) ⟶ (x6 = x16 ⟶ ∀ x18 : ο . x18) ⟶ (x7 = x16 ⟶ ∀ x18 : ο . x18) ⟶ (x8 = x16 ⟶ ∀ x18 : ο . x18) ⟶ (x9 = x16 ⟶ ∀ x18 : ο . x18) ⟶ (x10 = x16 ⟶ ∀ x18 : ο . x18) ⟶ (x11 = x16 ⟶ ∀ x18 : ο . x18) ⟶ (x12 = x16 ⟶ ∀ x18 : ο . x18) ⟶ (x13 = x16 ⟶ ∀ x18 : ο . x18) ⟶ (x14 = x16 ⟶ ∀ x18 : ο . x18) ⟶ (x15 = x16 ⟶ ∀ x18 : ο . x18) ⟶ (x1 = x17 ⟶ ∀ x18 : ο . x18) ⟶ (x2 = x17 ⟶ ∀ x18 : ο . x18) ⟶ (x3 = x17 ⟶ ∀ x18 : ο . x18) ⟶ (x4 = x17 ⟶ ∀ x18 : ο . x18) ⟶ (x5 = x17 ⟶ ∀ x18 : ο . x18) ⟶ (x6 = x17 ⟶ ∀ x18 : ο . x18) ⟶ (x7 = x17 ⟶ ∀ x18 : ο . x18) ⟶ (x8 = x17 ⟶ ∀ x18 : ο . x18) ⟶ (x9 = x17 ⟶ ∀ x18 : ο . x18) ⟶ (x10 = x17 ⟶ ∀ x18 : ο . x18) ⟶ (x11 = x17 ⟶ ∀ x18 : ο . x18) ⟶ (x12 = x17 ⟶ ∀ x18 : ο . x18) ⟶ (x13 = x17 ⟶ ∀ x18 : ο . x18) ⟶ (x14 = x17 ⟶ ∀ x18 : ο . x18) ⟶ (x15 = x17 ⟶ ∀ x18 : ο . x18) ⟶ (x16 = x17 ⟶ ∀ x18 : ο . x18) ⟶ atleastp u17 x0 (proof)
Definition u18 := ordsucc u17
Theorem 74326.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x19 : ο . x19) ⟶ (x1 = x3 ⟶ ∀ x19 : ο . x19) ⟶ (x2 = x3 ⟶ ∀ x19 : ο . x19) ⟶ (x1 = x4 ⟶ ∀ x19 : ο . x19) ⟶ (x2 = x4 ⟶ ∀ x19 : ο . x19) ⟶ (x3 = x4 ⟶ ∀ x19 : ο . x19) ⟶ (x1 = x5 ⟶ ∀ x19 : ο . x19) ⟶ (x2 = x5 ⟶ ∀ x19 : ο . x19) ⟶ (x3 = x5 ⟶ ∀ x19 : ο . x19) ⟶ (x4 = x5 ⟶ ∀ x19 : ο . x19) ⟶ (x1 = x6 ⟶ ∀ x19 : ο . x19) ⟶ (x2 = x6 ⟶ ∀ x19 : ο . x19) ⟶ (x3 = x6 ⟶ ∀ x19 : ο . x19) ⟶ (x4 = x6 ⟶ ∀ x19 : ο . x19) ⟶ (x5 = x6 ⟶ ∀ x19 : ο . x19) ⟶ (x1 = x7 ⟶ ∀ x19 : ο . x19) ⟶ (x2 = x7 ⟶ ∀ x19 : ο . x19) ⟶ (x3 = x7 ⟶ ∀ x19 : ο . x19) ⟶ (x4 = x7 ⟶ ∀ x19 : ο . x19) ⟶ (x5 = x7 ⟶ ∀ x19 : ο . x19) ⟶ (x6 = x7 ⟶ ∀ x19 : ο . x19) ⟶ (x1 = x8 ⟶ ∀ x19 : ο . x19) ⟶ (x2 = x8 ⟶ ∀ x19 : ο . x19) ⟶ (x3 = x8 ⟶ ∀ x19 : ο . x19) ⟶ (x4 = x8 ⟶ ∀ x19 : ο . x19) ⟶ (x5 = x8 ⟶ ∀ x19 : ο . x19) ⟶ (x6 = x8 ⟶ ∀ x19 : ο . x19) ⟶ (x7 = x8 ⟶ ∀ x19 : ο . x19) ⟶ (x1 = x9 ⟶ ∀ x19 : ο . x19) ⟶ (x2 = x9 ⟶ ∀ x19 : ο . x19) ⟶ (x3 = x9 ⟶ ∀ x19 : ο . x19) ⟶ (x4 = x9 ⟶ ∀ x19 : ο . x19) ⟶ (x5 = x9 ⟶ ∀ x19 : ο . x19) ⟶ (x6 = x9 ⟶ ∀ x19 : ο . x19) ⟶ (x7 = x9 ⟶ ∀ x19 : ο . x19) ⟶ (x8 = x9 ⟶ ∀ x19 : ο . x19) ⟶ (x1 = x10 ⟶ ∀ x19 : ο . x19) ⟶ (x2 = x10 ⟶ ∀ x19 : ο . x19) ⟶ (x3 = x10 ⟶ ∀ x19 : ο . x19) ⟶ (x4 = x10 ⟶ ∀ x19 : ο . x19) ⟶ (x5 = x10 ⟶ ∀ x19 : ο . x19) ⟶ (x6 = x10 ⟶ ∀ x19 : ο . x19) ⟶ (x7 = x10 ⟶ ∀ x19 : ο . x19) ⟶ (x8 = x10 ⟶ ∀ x19 : ο . x19) ⟶ (x9 = x10 ⟶ ∀ x19 : ο . x19) ⟶ (x1 = x11 ⟶ ∀ x19 : ο . x19) ⟶ (x2 = x11 ⟶ ∀ x19 : ο . x19) ⟶ (x3 = x11 ⟶ ∀ x19 : ο . x19) ⟶ (x4 = x11 ⟶ ∀ x19 : ο . x19) ⟶ (x5 = x11 ⟶ ∀ x19 : ο . x19) ⟶ (x6 = x11 ⟶ ∀ x19 : ο . x19) ⟶ (x7 = x11 ⟶ ∀ x19 : ο . x19) ⟶ (x8 = x11 ⟶ ∀ x19 : ο . x19) ⟶ (x9 = x11 ⟶ ∀ x19 : ο . x19) ⟶ (x10 = x11 ⟶ ∀ x19 : ο . x19) ⟶ (x1 = x12 ⟶ ∀ x19 : ο . x19) ⟶ (x2 = x12 ⟶ ∀ x19 : ο . x19) ⟶ (x3 = x12 ⟶ ∀ x19 : ο . x19) ⟶ (x4 = x12 ⟶ ∀ x19 : ο . x19) ⟶ (x5 = x12 ⟶ ∀ x19 : ο . x19) ⟶ (x6 = x12 ⟶ ∀ x19 : ο . x19) ⟶ (x7 = x12 ⟶ ∀ x19 : ο . x19) ⟶ (x8 = x12 ⟶ ∀ x19 : ο . x19) ⟶ (x9 = x12 ⟶ ∀ x19 : ο . x19) ⟶ (x10 = x12 ⟶ ∀ x19 : ο . x19) ⟶ (x11 = x12 ⟶ ∀ x19 : ο . x19) ⟶ (x1 = x13 ⟶ ∀ x19 : ο . x19) ⟶ (x2 = x13 ⟶ ∀ x19 : ο . x19) ⟶ (x3 = x13 ⟶ ∀ x19 : ο . x19) ⟶ (x4 = x13 ⟶ ∀ x19 : ο . x19) ⟶ (x5 = x13 ⟶ ∀ x19 : ο . x19) ⟶ (x6 = x13 ⟶ ∀ x19 : ο . x19) ⟶ (x7 = x13 ⟶ ∀ x19 : ο . x19) ⟶ (x8 = x13 ⟶ ∀ x19 : ο . x19) ⟶ (x9 = x13 ⟶ ∀ x19 : ο . x19) ⟶ (x10 = x13 ⟶ ∀ x19 : ο . x19) ⟶ (x11 = x13 ⟶ ∀ x19 : ο . x19) ⟶ (x12 = x13 ⟶ ∀ x19 : ο . x19) ⟶ (x1 = x14 ⟶ ∀ x19 : ο . x19) ⟶ (x2 = x14 ⟶ ∀ x19 : ο . x19) ⟶ (x3 = x14 ⟶ ∀ x19 : ο . x19) ⟶ (x4 = x14 ⟶ ∀ x19 : ο . x19) ⟶ (x5 = x14 ⟶ ∀ x19 : ο . x19) ⟶ (x6 = x14 ⟶ ∀ x19 : ο . x19) ⟶ (x7 = x14 ⟶ ∀ x19 : ο . x19) ⟶ (x8 = x14 ⟶ ∀ x19 : ο . x19) ⟶ (x9 = x14 ⟶ ∀ x19 : ο . x19) ⟶ (x10 = x14 ⟶ ∀ x19 : ο . x19) ⟶ (x11 = x14 ⟶ ∀ x19 : ο . x19) ⟶ (x12 = x14 ⟶ ∀ x19 : ο . x19) ⟶ (x13 = x14 ⟶ ∀ x19 : ο . x19) ⟶ (x1 = x15 ⟶ ∀ x19 : ο . x19) ⟶ (x2 = x15 ⟶ ∀ x19 : ο . x19) ⟶ (x3 = x15 ⟶ ∀ x19 : ο . x19) ⟶ (x4 = x15 ⟶ ∀ x19 : ο . x19) ⟶ (x5 = x15 ⟶ ∀ x19 : ο . x19) ⟶ (x6 = x15 ⟶ ∀ x19 : ο . x19) ⟶ (x7 = x15 ⟶ ∀ x19 : ο . x19) ⟶ (x8 = x15 ⟶ ∀ x19 : ο . x19) ⟶ (x9 = x15 ⟶ ∀ x19 : ο . x19) ⟶ (x10 = x15 ⟶ ∀ x19 : ο . x19) ⟶ (x11 = x15 ⟶ ∀ x19 : ο . x19) ⟶ (x12 = x15 ⟶ ∀ x19 : ο . x19) ⟶ (x13 = x15 ⟶ ∀ x19 : ο . x19) ⟶ (x14 = x15 ⟶ ∀ x19 : ο . x19) ⟶ (x1 = x16 ⟶ ∀ x19 : ο . x19) ⟶ (x2 = x16 ⟶ ∀ x19 : ο . x19) ⟶ (x3 = x16 ⟶ ∀ x19 : ο . x19) ⟶ (x4 = x16 ⟶ ∀ x19 : ο . x19) ⟶ (x5 = x16 ⟶ ∀ x19 : ο . x19) ⟶ (x6 = x16 ⟶ ∀ x19 : ο . x19) ⟶ (x7 = x16 ⟶ ∀ x19 : ο . x19) ⟶ (x8 = x16 ⟶ ∀ x19 : ο . x19) ⟶ (x9 = x16 ⟶ ∀ x19 : ο . x19) ⟶ (x10 = x16 ⟶ ∀ x19 : ο . x19) ⟶ (x11 = x16 ⟶ ∀ x19 : ο . x19) ⟶ (x12 = x16 ⟶ ∀ x19 : ο . x19) ⟶ (x13 = x16 ⟶ ∀ x19 : ο . x19) ⟶ (x14 = x16 ⟶ ∀ x19 : ο . x19) ⟶ (x15 = x16 ⟶ ∀ x19 : ο . x19) ⟶ (x1 = x17 ⟶ ∀ x19 : ο . x19) ⟶ (x2 = x17 ⟶ ∀ x19 : ο . x19) ⟶ (x3 = x17 ⟶ ∀ x19 : ο . x19) ⟶ (x4 = x17 ⟶ ∀ x19 : ο . x19) ⟶ (x5 = x17 ⟶ ∀ x19 : ο . x19) ⟶ (x6 = x17 ⟶ ∀ x19 : ο . x19) ⟶ (x7 = x17 ⟶ ∀ x19 : ο . x19) ⟶ (x8 = x17 ⟶ ∀ x19 : ο . x19) ⟶ (x9 = x17 ⟶ ∀ x19 : ο . x19) ⟶ (x10 = x17 ⟶ ∀ x19 : ο . x19) ⟶ (x11 = x17 ⟶ ∀ x19 : ο . x19) ⟶ (x12 = x17 ⟶ ∀ x19 : ο . x19) ⟶ (x13 = x17 ⟶ ∀ x19 : ο . x19) ⟶ (x14 = x17 ⟶ ∀ x19 : ο . x19) ⟶ (x15 = x17 ⟶ ∀ x19 : ο . x19) ⟶ (x16 = x17 ⟶ ∀ x19 : ο . x19) ⟶ (x1 = x18 ⟶ ∀ x19 : ο . x19) ⟶ (x2 = x18 ⟶ ∀ x19 : ο . x19) ⟶ (x3 = x18 ⟶ ∀ x19 : ο . x19) ⟶ (x4 = x18 ⟶ ∀ x19 : ο . x19) ⟶ (x5 = x18 ⟶ ∀ x19 : ο . x19) ⟶ (x6 = x18 ⟶ ∀ x19 : ο . x19) ⟶ (x7 = x18 ⟶ ∀ x19 : ο . x19) ⟶ (x8 = x18 ⟶ ∀ x19 : ο . x19) ⟶ (x9 = x18 ⟶ ∀ x19 : ο . x19) ⟶ (x10 = x18 ⟶ ∀ x19 : ο . x19) ⟶ (x11 = x18 ⟶ ∀ x19 : ο . x19) ⟶ (x12 = x18 ⟶ ∀ x19 : ο . x19) ⟶ (x13 = x18 ⟶ ∀ x19 : ο . x19) ⟶ (x14 = x18 ⟶ ∀ x19 : ο . x19) ⟶ (x15 = x18 ⟶ ∀ x19 : ο . x19) ⟶ (x16 = x18 ⟶ ∀ x19 : ο . x19) ⟶ (x17 = x18 ⟶ ∀ x19 : ο . x19) ⟶ atleastp u18 x0 (proof)
Definition u19 := ordsucc u18
Theorem 8ca1e.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x20 : ο . x20) ⟶ (x1 = x3 ⟶ ∀ x20 : ο . x20) ⟶ (x2 = x3 ⟶ ∀ x20 : ο . x20) ⟶ (x1 = x4 ⟶ ∀ x20 : ο . x20) ⟶ (x2 = x4 ⟶ ∀ x20 : ο . x20) ⟶ (x3 = x4 ⟶ ∀ x20 : ο . x20) ⟶ (x1 = x5 ⟶ ∀ x20 : ο . x20) ⟶ (x2 = x5 ⟶ ∀ x20 : ο . x20) ⟶ (x3 = x5 ⟶ ∀ x20 : ο . x20) ⟶ (x4 = x5 ⟶ ∀ x20 : ο . x20) ⟶ (x1 = x6 ⟶ ∀ x20 : ο . x20) ⟶ (x2 = x6 ⟶ ∀ x20 : ο . x20) ⟶ (x3 = x6 ⟶ ∀ x20 : ο . x20) ⟶ (x4 = x6 ⟶ ∀ x20 : ο . x20) ⟶ (x5 = x6 ⟶ ∀ x20 : ο . x20) ⟶ (x1 = x7 ⟶ ∀ x20 : ο . x20) ⟶ (x2 = x7 ⟶ ∀ x20 : ο . x20) ⟶ (x3 = x7 ⟶ ∀ x20 : ο . x20) ⟶ (x4 = x7 ⟶ ∀ x20 : ο . x20) ⟶ (x5 = x7 ⟶ ∀ x20 : ο . x20) ⟶ (x6 = x7 ⟶ ∀ x20 : ο . x20) ⟶ (x1 = x8 ⟶ ∀ x20 : ο . x20) ⟶ (x2 = x8 ⟶ ∀ x20 : ο . x20) ⟶ (x3 = x8 ⟶ ∀ x20 : ο . x20) ⟶ (x4 = x8 ⟶ ∀ x20 : ο . x20) ⟶ (x5 = x8 ⟶ ∀ x20 : ο . x20) ⟶ (x6 = x8 ⟶ ∀ x20 : ο . x20) ⟶ (x7 = x8 ⟶ ∀ x20 : ο . x20) ⟶ (x1 = x9 ⟶ ∀ x20 : ο . x20) ⟶ (x2 = x9 ⟶ ∀ x20 : ο . x20) ⟶ (x3 = x9 ⟶ ∀ x20 : ο . x20) ⟶ (x4 = x9 ⟶ ∀ x20 : ο . x20) ⟶ (x5 = x9 ⟶ ∀ x20 : ο . x20) ⟶ (x6 = x9 ⟶ ∀ x20 : ο . x20) ⟶ (x7 = x9 ⟶ ∀ x20 : ο . x20) ⟶ (x8 = x9 ⟶ ∀ x20 : ο . x20) ⟶ (x1 = x10 ⟶ ∀ x20 : ο . x20) ⟶ (x2 = x10 ⟶ ∀ x20 : ο . x20) ⟶ (x3 = x10 ⟶ ∀ x20 : ο . x20) ⟶ (x4 = x10 ⟶ ∀ x20 : ο . x20) ⟶ (x5 = x10 ⟶ ∀ x20 : ο . x20) ⟶ (x6 = x10 ⟶ ∀ x20 : ο . x20) ⟶ (x7 = x10 ⟶ ∀ x20 : ο . x20) ⟶ (x8 = x10 ⟶ ∀ x20 : ο . x20) ⟶ (x9 = x10 ⟶ ∀ x20 : ο . x20) ⟶ (x1 = x11 ⟶ ∀ x20 : ο . x20) ⟶ (x2 = x11 ⟶ ∀ x20 : ο . x20) ⟶ (x3 = x11 ⟶ ∀ x20 : ο . x20) ⟶ (x4 = x11 ⟶ ∀ x20 : ο . x20) ⟶ (x5 = x11 ⟶ ∀ x20 : ο . x20) ⟶ (x6 = x11 ⟶ ∀ x20 : ο . x20) ⟶ (x7 = x11 ⟶ ∀ x20 : ο . x20) ⟶ (x8 = x11 ⟶ ∀ x20 : ο . x20) ⟶ (x9 = x11 ⟶ ∀ x20 : ο . x20) ⟶ (x10 = x11 ⟶ ∀ x20 : ο . x20) ⟶ (x1 = x12 ⟶ ∀ x20 : ο . x20) ⟶ (x2 = x12 ⟶ ∀ x20 : ο . x20) ⟶ (x3 = x12 ⟶ ∀ x20 : ο . x20) ⟶ (x4 = x12 ⟶ ∀ x20 : ο . x20) ⟶ (x5 = x12 ⟶ ∀ x20 : ο . x20) ⟶ (x6 = x12 ⟶ ∀ x20 : ο . x20) ⟶ (x7 = x12 ⟶ ∀ x20 : ο . x20) ⟶ (x8 = x12 ⟶ ∀ x20 : ο . x20) ⟶ (x9 = x12 ⟶ ∀ x20 : ο . x20) ⟶ (x10 = x12 ⟶ ∀ x20 : ο . x20) ⟶ (x11 = x12 ⟶ ∀ x20 : ο . x20) ⟶ (x1 = x13 ⟶ ∀ x20 : ο . x20) ⟶ (x2 = x13 ⟶ ∀ x20 : ο . x20) ⟶ (x3 = x13 ⟶ ∀ x20 : ο . x20) ⟶ (x4 = x13 ⟶ ∀ x20 : ο . x20) ⟶ (x5 = x13 ⟶ ∀ x20 : ο . x20) ⟶ (x6 = x13 ⟶ ∀ x20 : ο . x20) ⟶ (x7 = x13 ⟶ ∀ x20 : ο . x20) ⟶ (x8 = x13 ⟶ ∀ x20 : ο . x20) ⟶ (x9 = x13 ⟶ ∀ x20 : ο . x20) ⟶ (x10 = x13 ⟶ ∀ x20 : ο . x20) ⟶ (x11 = x13 ⟶ ∀ x20 : ο . x20) ⟶ (x12 = x13 ⟶ ∀ x20 : ο . x20) ⟶ (x1 = x14 ⟶ ∀ x20 : ο . x20) ⟶ (x2 = x14 ⟶ ∀ x20 : ο . x20) ⟶ (x3 = x14 ⟶ ∀ x20 : ο . x20) ⟶ (x4 = x14 ⟶ ∀ x20 : ο . x20) ⟶ (x5 = x14 ⟶ ∀ x20 : ο . x20) ⟶ (x6 = x14 ⟶ ∀ x20 : ο . x20) ⟶ (x7 = x14 ⟶ ∀ x20 : ο . x20) ⟶ (x8 = x14 ⟶ ∀ x20 : ο . x20) ⟶ (x9 = x14 ⟶ ∀ x20 : ο . x20) ⟶ (x10 = x14 ⟶ ∀ x20 : ο . x20) ⟶ (x11 = x14 ⟶ ∀ x20 : ο . x20) ⟶ (x12 = x14 ⟶ ∀ x20 : ο . x20) ⟶ (x13 = x14 ⟶ ∀ x20 : ο . x20) ⟶ (x1 = x15 ⟶ ∀ x20 : ο . x20) ⟶ (x2 = x15 ⟶ ∀ x20 : ο . x20) ⟶ (x3 = x15 ⟶ ∀ x20 : ο . x20) ⟶ (x4 = x15 ⟶ ∀ x20 : ο . x20) ⟶ (x5 = x15 ⟶ ∀ x20 : ο . x20) ⟶ (x6 = x15 ⟶ ∀ x20 : ο . x20) ⟶ (x7 = x15 ⟶ ∀ x20 : ο . x20) ⟶ (x8 = x15 ⟶ ∀ x20 : ο . x20) ⟶ (x9 = x15 ⟶ ∀ x20 : ο . x20) ⟶ (x10 = x15 ⟶ ∀ x20 : ο . x20) ⟶ (x11 = x15 ⟶ ∀ x20 : ο . x20) ⟶ (x12 = x15 ⟶ ∀ x20 : ο . x20) ⟶ (x13 = x15 ⟶ ∀ x20 : ο . x20) ⟶ (x14 = x15 ⟶ ∀ x20 : ο . x20) ⟶ (x1 = x16 ⟶ ∀ x20 : ο . x20) ⟶ (x2 = x16 ⟶ ∀ x20 : ο . x20) ⟶ (x3 = x16 ⟶ ∀ x20 : ο . x20) ⟶ (x4 = x16 ⟶ ∀ x20 : ο . x20) ⟶ (x5 = x16 ⟶ ∀ x20 : ο . x20) ⟶ (x6 = x16 ⟶ ∀ x20 : ο . x20) ⟶ (x7 = x16 ⟶ ∀ x20 : ο . x20) ⟶ (x8 = x16 ⟶ ∀ x20 : ο . x20) ⟶ (x9 = x16 ⟶ ∀ x20 : ο . x20) ⟶ (x10 = x16 ⟶ ∀ x20 : ο . x20) ⟶ (x11 = x16 ⟶ ∀ x20 : ο . x20) ⟶ (x12 = x16 ⟶ ∀ x20 : ο . x20) ⟶ (x13 = x16 ⟶ ∀ x20 : ο . x20) ⟶ (x14 = x16 ⟶ ∀ x20 : ο . x20) ⟶ (x15 = x16 ⟶ ∀ x20 : ο . x20) ⟶ (x1 = x17 ⟶ ∀ x20 : ο . x20) ⟶ (x2 = x17 ⟶ ∀ x20 : ο . x20) ⟶ (x3 = x17 ⟶ ∀ x20 : ο . x20) ⟶ (x4 = x17 ⟶ ∀ x20 : ο . x20) ⟶ (x5 = x17 ⟶ ∀ x20 : ο . x20) ⟶ (x6 = x17 ⟶ ∀ x20 : ο . x20) ⟶ (x7 = x17 ⟶ ∀ x20 : ο . x20) ⟶ (x8 = x17 ⟶ ∀ x20 : ο . x20) ⟶ (x9 = x17 ⟶ ∀ x20 : ο . x20) ⟶ (x10 = x17 ⟶ ∀ x20 : ο . x20) ⟶ (x11 = x17 ⟶ ∀ x20 : ο . x20) ⟶ (x12 = x17 ⟶ ∀ x20 : ο . x20) ⟶ (x13 = x17 ⟶ ∀ x20 : ο . x20) ⟶ (x14 = x17 ⟶ ∀ x20 : ο . x20) ⟶ (x15 = x17 ⟶ ∀ x20 : ο . x20) ⟶ (x16 = x17 ⟶ ∀ x20 : ο . x20) ⟶ (x1 = x18 ⟶ ∀ x20 : ο . x20) ⟶ (x2 = x18 ⟶ ∀ x20 : ο . x20) ⟶ (x3 = x18 ⟶ ∀ x20 : ο . x20) ⟶ (x4 = x18 ⟶ ∀ x20 : ο . x20) ⟶ (x5 = x18 ⟶ ∀ x20 : ο . x20) ⟶ (x6 = x18 ⟶ ∀ x20 : ο . x20) ⟶ (x7 = x18 ⟶ ∀ x20 : ο . x20) ⟶ (x8 = x18 ⟶ ∀ x20 : ο . x20) ⟶ (x9 = x18 ⟶ ∀ x20 : ο . x20) ⟶ (x10 = x18 ⟶ ∀ x20 : ο . x20) ⟶ (x11 = x18 ⟶ ∀ x20 : ο . x20) ⟶ (x12 = x18 ⟶ ∀ x20 : ο . x20) ⟶ (x13 = x18 ⟶ ∀ x20 : ο . x20) ⟶ (x14 = x18 ⟶ ∀ x20 : ο . x20) ⟶ (x15 = x18 ⟶ ∀ x20 : ο . x20) ⟶ (x16 = x18 ⟶ ∀ x20 : ο . x20) ⟶ (x17 = x18 ⟶ ∀ x20 : ο . x20) ⟶ (x1 = x19 ⟶ ∀ x20 : ο . x20) ⟶ (x2 = x19 ⟶ ∀ x20 : ο . x20) ⟶ (x3 = x19 ⟶ ∀ x20 : ο . x20) ⟶ (x4 = x19 ⟶ ∀ x20 : ο . x20) ⟶ (x5 = x19 ⟶ ∀ x20 : ο . x20) ⟶ (x6 = x19 ⟶ ∀ x20 : ο . x20) ⟶ (x7 = x19 ⟶ ∀ x20 : ο . x20) ⟶ (x8 = x19 ⟶ ∀ x20 : ο . x20) ⟶ (x9 = x19 ⟶ ∀ x20 : ο . x20) ⟶ (x10 = x19 ⟶ ∀ x20 : ο . x20) ⟶ (x11 = x19 ⟶ ∀ x20 : ο . x20) ⟶ (x12 = x19 ⟶ ∀ x20 : ο . x20) ⟶ (x13 = x19 ⟶ ∀ x20 : ο . x20) ⟶ (x14 = x19 ⟶ ∀ x20 : ο . x20) ⟶ (x15 = x19 ⟶ ∀ x20 : ο . x20) ⟶ (x16 = x19 ⟶ ∀ x20 : ο . x20) ⟶ (x17 = x19 ⟶ ∀ x20 : ο . x20) ⟶ (x18 = x19 ⟶ ∀ x20 : ο . x20) ⟶ atleastp u19 x0 (proof)
Definition u20 := ordsucc u19
Theorem f67f7.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ ∀ x20 . x20 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x21 : ο . x21) ⟶ (x1 = x3 ⟶ ∀ x21 : ο . x21) ⟶ (x2 = x3 ⟶ ∀ x21 : ο . x21) ⟶ (x1 = x4 ⟶ ∀ x21 : ο . x21) ⟶ (x2 = x4 ⟶ ∀ x21 : ο . x21) ⟶ (x3 = x4 ⟶ ∀ x21 : ο . x21) ⟶ (x1 = x5 ⟶ ∀ x21 : ο . x21) ⟶ (x2 = x5 ⟶ ∀ x21 : ο . x21) ⟶ (x3 = x5 ⟶ ∀ x21 : ο . x21) ⟶ (x4 = x5 ⟶ ∀ x21 : ο . x21) ⟶ (x1 = x6 ⟶ ∀ x21 : ο . x21) ⟶ (x2 = x6 ⟶ ∀ x21 : ο . x21) ⟶ (x3 = x6 ⟶ ∀ x21 : ο . x21) ⟶ (x4 = x6 ⟶ ∀ x21 : ο . x21) ⟶ (x5 = x6 ⟶ ∀ x21 : ο . x21) ⟶ (x1 = x7 ⟶ ∀ x21 : ο . x21) ⟶ (x2 = x7 ⟶ ∀ x21 : ο . x21) ⟶ (x3 = x7 ⟶ ∀ x21 : ο . x21) ⟶ (x4 = x7 ⟶ ∀ x21 : ο . x21) ⟶ (x5 = x7 ⟶ ∀ x21 : ο . x21) ⟶ (x6 = x7 ⟶ ∀ x21 : ο . x21) ⟶ (x1 = x8 ⟶ ∀ x21 : ο . x21) ⟶ (x2 = x8 ⟶ ∀ x21 : ο . x21) ⟶ (x3 = x8 ⟶ ∀ x21 : ο . x21) ⟶ (x4 = x8 ⟶ ∀ x21 : ο . x21) ⟶ (x5 = x8 ⟶ ∀ x21 : ο . x21) ⟶ (x6 = x8 ⟶ ∀ x21 : ο . x21) ⟶ (x7 = x8 ⟶ ∀ x21 : ο . x21) ⟶ (x1 = x9 ⟶ ∀ x21 : ο . x21) ⟶ (x2 = x9 ⟶ ∀ x21 : ο . x21) ⟶ (x3 = x9 ⟶ ∀ x21 : ο . x21) ⟶ (x4 = x9 ⟶ ∀ x21 : ο . x21) ⟶ (x5 = x9 ⟶ ∀ x21 : ο . x21) ⟶ (x6 = x9 ⟶ ∀ x21 : ο . x21) ⟶ (x7 = x9 ⟶ ∀ x21 : ο . x21) ⟶ (x8 = x9 ⟶ ∀ x21 : ο . x21) ⟶ (x1 = x10 ⟶ ∀ x21 : ο . x21) ⟶ (x2 = x10 ⟶ ∀ x21 : ο . x21) ⟶ (x3 = x10 ⟶ ∀ x21 : ο . x21) ⟶ (x4 = x10 ⟶ ∀ x21 : ο . x21) ⟶ (x5 = x10 ⟶ ∀ x21 : ο . x21) ⟶ (x6 = x10 ⟶ ∀ x21 : ο . x21) ⟶ (x7 = x10 ⟶ ∀ x21 : ο . x21) ⟶ (x8 = x10 ⟶ ∀ x21 : ο . x21) ⟶ (x9 = x10 ⟶ ∀ x21 : ο . x21) ⟶ (x1 = x11 ⟶ ∀ x21 : ο . x21) ⟶ (x2 = x11 ⟶ ∀ x21 : ο . x21) ⟶ (x3 = x11 ⟶ ∀ x21 : ο . x21) ⟶ (x4 = x11 ⟶ ∀ x21 : ο . x21) ⟶ (x5 = x11 ⟶ ∀ x21 : ο . x21) ⟶ (x6 = x11 ⟶ ∀ x21 : ο . x21) ⟶ (x7 = x11 ⟶ ∀ x21 : ο . x21) ⟶ (x8 = x11 ⟶ ∀ x21 : ο . x21) ⟶ (x9 = x11 ⟶ ∀ x21 : ο . x21) ⟶ (x10 = x11 ⟶ ∀ x21 : ο . x21) ⟶ (x1 = x12 ⟶ ∀ x21 : ο . x21) ⟶ (x2 = x12 ⟶ ∀ x21 : ο . x21) ⟶ (x3 = x12 ⟶ ∀ x21 : ο . x21) ⟶ (x4 = x12 ⟶ ∀ x21 : ο . x21) ⟶ (x5 = x12 ⟶ ∀ x21 : ο . x21) ⟶ (x6 = x12 ⟶ ∀ x21 : ο . x21) ⟶ (x7 = x12 ⟶ ∀ x21 : ο . x21) ⟶ (x8 = x12 ⟶ ∀ x21 : ο . x21) ⟶ (x9 = x12 ⟶ ∀ x21 : ο . x21) ⟶ (x10 = x12 ⟶ ∀ x21 : ο . x21) ⟶ (x11 = x12 ⟶ ∀ x21 : ο . x21) ⟶ (x1 = x13 ⟶ ∀ x21 : ο . x21) ⟶ (x2 = x13 ⟶ ∀ x21 : ο . x21) ⟶ (x3 = x13 ⟶ ∀ x21 : ο . x21) ⟶ (x4 = x13 ⟶ ∀ x21 : ο . x21) ⟶ (x5 = x13 ⟶ ∀ x21 : ο . x21) ⟶ (x6 = x13 ⟶ ∀ x21 : ο . x21) ⟶ (x7 = x13 ⟶ ∀ x21 : ο . x21) ⟶ (x8 = x13 ⟶ ∀ x21 : ο . x21) ⟶ (x9 = x13 ⟶ ∀ x21 : ο . x21) ⟶ (x10 = x13 ⟶ ∀ x21 : ο . x21) ⟶ (x11 = x13 ⟶ ∀ x21 : ο . x21) ⟶ (x12 = x13 ⟶ ∀ x21 : ο . x21) ⟶ (x1 = x14 ⟶ ∀ x21 : ο . x21) ⟶ (x2 = x14 ⟶ ∀ x21 : ο . x21) ⟶ (x3 = x14 ⟶ ∀ x21 : ο . x21) ⟶ (x4 = x14 ⟶ ∀ x21 : ο . x21) ⟶ (x5 = x14 ⟶ ∀ x21 : ο . x21) ⟶ (x6 = x14 ⟶ ∀ x21 : ο . x21) ⟶ (x7 = x14 ⟶ ∀ x21 : ο . x21) ⟶ (x8 = x14 ⟶ ∀ x21 : ο . x21) ⟶ (x9 = x14 ⟶ ∀ x21 : ο . x21) ⟶ (x10 = x14 ⟶ ∀ x21 : ο . x21) ⟶ (x11 = x14 ⟶ ∀ x21 : ο . x21) ⟶ (x12 = x14 ⟶ ∀ x21 : ο . x21) ⟶ (x13 = x14 ⟶ ∀ x21 : ο . x21) ⟶ (x1 = x15 ⟶ ∀ x21 : ο . x21) ⟶ (x2 = x15 ⟶ ∀ x21 : ο . x21) ⟶ (x3 = x15 ⟶ ∀ x21 : ο . x21) ⟶ (x4 = x15 ⟶ ∀ x21 : ο . x21) ⟶ (x5 = x15 ⟶ ∀ x21 : ο . x21) ⟶ (x6 = x15 ⟶ ∀ x21 : ο . x21) ⟶ (x7 = x15 ⟶ ∀ x21 : ο . x21) ⟶ (x8 = x15 ⟶ ∀ x21 : ο . x21) ⟶ (x9 = x15 ⟶ ∀ x21 : ο . x21) ⟶ (x10 = x15 ⟶ ∀ x21 : ο . x21) ⟶ (x11 = x15 ⟶ ∀ x21 : ο . x21) ⟶ (x12 = x15 ⟶ ∀ x21 : ο . x21) ⟶ (x13 = x15 ⟶ ∀ x21 : ο . x21) ⟶ (x14 = x15 ⟶ ∀ x21 : ο . x21) ⟶ (x1 = x16 ⟶ ∀ x21 : ο . x21) ⟶ (x2 = x16 ⟶ ∀ x21 : ο . x21) ⟶ (x3 = x16 ⟶ ∀ x21 : ο . x21) ⟶ (x4 = x16 ⟶ ∀ x21 : ο . x21) ⟶ (x5 = x16 ⟶ ∀ x21 : ο . x21) ⟶ (x6 = x16 ⟶ ∀ x21 : ο . x21) ⟶ (x7 = x16 ⟶ ∀ x21 : ο . x21) ⟶ (x8 = x16 ⟶ ∀ x21 : ο . x21) ⟶ (x9 = x16 ⟶ ∀ x21 : ο . x21) ⟶ (x10 = x16 ⟶ ∀ x21 : ο . x21) ⟶ (x11 = x16 ⟶ ∀ x21 : ο . x21) ⟶ (x12 = x16 ⟶ ∀ x21 : ο . x21) ⟶ (x13 = x16 ⟶ ∀ x21 : ο . x21) ⟶ (x14 = x16 ⟶ ∀ x21 : ο . x21) ⟶ (x15 = x16 ⟶ ∀ x21 : ο . x21) ⟶ (x1 = x17 ⟶ ∀ x21 : ο . x21) ⟶ (x2 = x17 ⟶ ∀ x21 : ο . x21) ⟶ (x3 = x17 ⟶ ∀ x21 : ο . x21) ⟶ (x4 = x17 ⟶ ∀ x21 : ο . x21) ⟶ (x5 = x17 ⟶ ∀ x21 : ο . x21) ⟶ (x6 = x17 ⟶ ∀ x21 : ο . x21) ⟶ (x7 = x17 ⟶ ∀ x21 : ο . x21) ⟶ (x8 = x17 ⟶ ∀ x21 : ο . x21) ⟶ (x9 = x17 ⟶ ∀ x21 : ο . x21) ⟶ (x10 = x17 ⟶ ∀ x21 : ο . x21) ⟶ (x11 = x17 ⟶ ∀ x21 : ο . x21) ⟶ (x12 = x17 ⟶ ∀ x21 : ο . x21) ⟶ (x13 = x17 ⟶ ∀ x21 : ο . x21) ⟶ (x14 = x17 ⟶ ∀ x21 : ο . x21) ⟶ (x15 = x17 ⟶ ∀ x21 : ο . x21) ⟶ (x16 = x17 ⟶ ∀ x21 : ο . x21) ⟶ (x1 = x18 ⟶ ∀ x21 : ο . x21) ⟶ (x2 = x18 ⟶ ∀ x21 : ο . x21) ⟶ (x3 = x18 ⟶ ∀ x21 : ο . x21) ⟶ (x4 = x18 ⟶ ∀ x21 : ο . x21) ⟶ (x5 = x18 ⟶ ∀ x21 : ο . x21) ⟶ (x6 = x18 ⟶ ∀ x21 : ο . x21) ⟶ (x7 = x18 ⟶ ∀ x21 : ο . x21) ⟶ (x8 = x18 ⟶ ∀ x21 : ο . x21) ⟶ (x9 = x18 ⟶ ∀ x21 : ο . x21) ⟶ (x10 = x18 ⟶ ∀ x21 : ο . x21) ⟶ (x11 = x18 ⟶ ∀ x21 : ο . x21) ⟶ (x12 = x18 ⟶ ∀ x21 : ο . x21) ⟶ (x13 = x18 ⟶ ∀ x21 : ο . x21) ⟶ (x14 = x18 ⟶ ∀ x21 : ο . x21) ⟶ (x15 = x18 ⟶ ∀ x21 : ο . x21) ⟶ (x16 = x18 ⟶ ∀ x21 : ο . x21) ⟶ (x17 = x18 ⟶ ∀ x21 : ο . x21) ⟶ (x1 = x19 ⟶ ∀ x21 : ο . x21) ⟶ (x2 = x19 ⟶ ∀ x21 : ο . x21) ⟶ (x3 = x19 ⟶ ∀ x21 : ο . x21) ⟶ (x4 = x19 ⟶ ∀ x21 : ο . x21) ⟶ (x5 = x19 ⟶ ∀ x21 : ο . x21) ⟶ (x6 = x19 ⟶ ∀ x21 : ο . x21) ⟶ (x7 = x19 ⟶ ∀ x21 : ο . x21) ⟶ (x8 = x19 ⟶ ∀ x21 : ο . x21) ⟶ (x9 = x19 ⟶ ∀ x21 : ο . x21) ⟶ (x10 = x19 ⟶ ∀ x21 : ο . x21) ⟶ (x11 = x19 ⟶ ∀ x21 : ο . x21) ⟶ (x12 = x19 ⟶ ∀ x21 : ο . x21) ⟶ (x13 = x19 ⟶ ∀ x21 : ο . x21) ⟶ (x14 = x19 ⟶ ∀ x21 : ο . x21) ⟶ (x15 = x19 ⟶ ∀ x21 : ο . x21) ⟶ (x16 = x19 ⟶ ∀ x21 : ο . x21) ⟶ (x17 = x19 ⟶ ∀ x21 : ο . x21) ⟶ (x18 = x19 ⟶ ∀ x21 : ο . x21) ⟶ (x1 = x20 ⟶ ∀ x21 : ο . x21) ⟶ (x2 = x20 ⟶ ∀ x21 : ο . x21) ⟶ (x3 = x20 ⟶ ∀ x21 : ο . x21) ⟶ (x4 = x20 ⟶ ∀ x21 : ο . x21) ⟶ (x5 = x20 ⟶ ∀ x21 : ο . x21) ⟶ (x6 = x20 ⟶ ∀ x21 : ο . x21) ⟶ (x7 = x20 ⟶ ∀ x21 : ο . x21) ⟶ (x8 = x20 ⟶ ∀ x21 : ο . x21) ⟶ (x9 = x20 ⟶ ∀ x21 : ο . x21) ⟶ (x10 = x20 ⟶ ∀ x21 : ο . x21) ⟶ (x11 = x20 ⟶ ∀ x21 : ο . x21) ⟶ (x12 = x20 ⟶ ∀ x21 : ο . x21) ⟶ (x13 = x20 ⟶ ∀ x21 : ο . x21) ⟶ (x14 = x20 ⟶ ∀ x21 : ο . x21) ⟶ (x15 = x20 ⟶ ∀ x21 : ο . x21) ⟶ (x16 = x20 ⟶ ∀ x21 : ο . x21) ⟶ (x17 = x20 ⟶ ∀ x21 : ο . x21) ⟶ (x18 = x20 ⟶ ∀ x21 : ο . x21) ⟶ (x19 = x20 ⟶ ∀ x21 : ο . x21) ⟶ atleastp u20 x0 (proof)
Definition u21 := ordsucc u20
Theorem 084ef.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ ∀ x20 . x20 ∈ x0 ⟶ ∀ x21 . x21 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x22 : ο . x22) ⟶ (x1 = x3 ⟶ ∀ x22 : ο . x22) ⟶ (x2 = x3 ⟶ ∀ x22 : ο . x22) ⟶ (x1 = x4 ⟶ ∀ x22 : ο . x22) ⟶ (x2 = x4 ⟶ ∀ x22 : ο . x22) ⟶ (x3 = x4 ⟶ ∀ x22 : ο . x22) ⟶ (x1 = x5 ⟶ ∀ x22 : ο . x22) ⟶ (x2 = x5 ⟶ ∀ x22 : ο . x22) ⟶ (x3 = x5 ⟶ ∀ x22 : ο . x22) ⟶ (x4 = x5 ⟶ ∀ x22 : ο . x22) ⟶ (x1 = x6 ⟶ ∀ x22 : ο . x22) ⟶ (x2 = x6 ⟶ ∀ x22 : ο . x22) ⟶ (x3 = x6 ⟶ ∀ x22 : ο . x22) ⟶ (x4 = x6 ⟶ ∀ x22 : ο . x22) ⟶ (x5 = x6 ⟶ ∀ x22 : ο . x22) ⟶ (x1 = x7 ⟶ ∀ x22 : ο . x22) ⟶ (x2 = x7 ⟶ ∀ x22 : ο . x22) ⟶ (x3 = x7 ⟶ ∀ x22 : ο . x22) ⟶ (x4 = x7 ⟶ ∀ x22 : ο . x22) ⟶ (x5 = x7 ⟶ ∀ x22 : ο . x22) ⟶ (x6 = x7 ⟶ ∀ x22 : ο . x22) ⟶ (x1 = x8 ⟶ ∀ x22 : ο . x22) ⟶ (x2 = x8 ⟶ ∀ x22 : ο . x22) ⟶ (x3 = x8 ⟶ ∀ x22 : ο . x22) ⟶ (x4 = x8 ⟶ ∀ x22 : ο . x22) ⟶ (x5 = x8 ⟶ ∀ x22 : ο . x22) ⟶ (x6 = x8 ⟶ ∀ x22 : ο . x22) ⟶ (x7 = x8 ⟶ ∀ x22 : ο . x22) ⟶ (x1 = x9 ⟶ ∀ x22 : ο . x22) ⟶ (x2 = x9 ⟶ ∀ x22 : ο . x22) ⟶ (x3 = x9 ⟶ ∀ x22 : ο . x22) ⟶ (x4 = x9 ⟶ ∀ x22 : ο . x22) ⟶ (x5 = x9 ⟶ ∀ x22 : ο . x22) ⟶ (x6 = x9 ⟶ ∀ x22 : ο . x22) ⟶ (x7 = x9 ⟶ ∀ x22 : ο . x22) ⟶ (x8 = x9 ⟶ ∀ x22 : ο . x22) ⟶ (x1 = x10 ⟶ ∀ x22 : ο . x22) ⟶ (x2 = x10 ⟶ ∀ x22 : ο . x22) ⟶ (x3 = x10 ⟶ ∀ x22 : ο . x22) ⟶ (x4 = x10 ⟶ ∀ x22 : ο . x22) ⟶ (x5 = x10 ⟶ ∀ x22 : ο . x22) ⟶ (x6 = x10 ⟶ ∀ x22 : ο . x22) ⟶ (x7 = x10 ⟶ ∀ x22 : ο . x22) ⟶ (x8 = x10 ⟶ ∀ x22 : ο . x22) ⟶ (x9 = x10 ⟶ ∀ x22 : ο . x22) ⟶ (x1 = x11 ⟶ ∀ x22 : ο . x22) ⟶ (x2 = x11 ⟶ ∀ x22 : ο . x22) ⟶ (x3 = x11 ⟶ ∀ x22 : ο . x22) ⟶ (x4 = x11 ⟶ ∀ x22 : ο . x22) ⟶ (x5 = x11 ⟶ ∀ x22 : ο . x22) ⟶ (x6 = x11 ⟶ ∀ x22 : ο . x22) ⟶ (x7 = x11 ⟶ ∀ x22 : ο . x22) ⟶ (x8 = x11 ⟶ ∀ x22 : ο . x22) ⟶ (x9 = x11 ⟶ ∀ x22 : ο . x22) ⟶ (x10 = x11 ⟶ ∀ x22 : ο . x22) ⟶ (x1 = x12 ⟶ ∀ x22 : ο . x22) ⟶ (x2 = x12 ⟶ ∀ x22 : ο . x22) ⟶ (x3 = x12 ⟶ ∀ x22 : ο . x22) ⟶ (x4 = x12 ⟶ ∀ x22 : ο . x22) ⟶ (x5 = x12 ⟶ ∀ x22 : ο . x22) ⟶ (x6 = x12 ⟶ ∀ x22 : ο . x22) ⟶ (x7 = x12 ⟶ ∀ x22 : ο . x22) ⟶ (x8 = x12 ⟶ ∀ x22 : ο . x22) ⟶ (x9 = x12 ⟶ ∀ x22 : ο . x22) ⟶ (x10 = x12 ⟶ ∀ x22 : ο . x22) ⟶ (x11 = x12 ⟶ ∀ x22 : ο . x22) ⟶ (x1 = x13 ⟶ ∀ x22 : ο . x22) ⟶ (x2 = x13 ⟶ ∀ x22 : ο . x22) ⟶ (x3 = x13 ⟶ ∀ x22 : ο . x22) ⟶ (x4 = x13 ⟶ ∀ x22 : ο . x22) ⟶ (x5 = x13 ⟶ ∀ x22 : ο . x22) ⟶ (x6 = x13 ⟶ ∀ x22 : ο . x22) ⟶ (x7 = x13 ⟶ ∀ x22 : ο . x22) ⟶ (x8 = x13 ⟶ ∀ x22 : ο . x22) ⟶ (x9 = x13 ⟶ ∀ x22 : ο . x22) ⟶ (x10 = x13 ⟶ ∀ x22 : ο . x22) ⟶ (x11 = x13 ⟶ ∀ x22 : ο . x22) ⟶ (x12 = x13 ⟶ ∀ x22 : ο . x22) ⟶ (x1 = x14 ⟶ ∀ x22 : ο . x22) ⟶ (x2 = x14 ⟶ ∀ x22 : ο . x22) ⟶ (x3 = x14 ⟶ ∀ x22 : ο . x22) ⟶ (x4 = x14 ⟶ ∀ x22 : ο . x22) ⟶ (x5 = x14 ⟶ ∀ x22 : ο . x22) ⟶ (x6 = x14 ⟶ ∀ x22 : ο . x22) ⟶ (x7 = x14 ⟶ ∀ x22 : ο . x22) ⟶ (x8 = x14 ⟶ ∀ x22 : ο . x22) ⟶ (x9 = x14 ⟶ ∀ x22 : ο . x22) ⟶ (x10 = x14 ⟶ ∀ x22 : ο . x22) ⟶ (x11 = x14 ⟶ ∀ x22 : ο . x22) ⟶ (x12 = x14 ⟶ ∀ x22 : ο . x22) ⟶ (x13 = x14 ⟶ ∀ x22 : ο . x22) ⟶ (x1 = x15 ⟶ ∀ x22 : ο . x22) ⟶ (x2 = x15 ⟶ ∀ x22 : ο . x22) ⟶ (x3 = x15 ⟶ ∀ x22 : ο . x22) ⟶ (x4 = x15 ⟶ ∀ x22 : ο . x22) ⟶ (x5 = x15 ⟶ ∀ x22 : ο . x22) ⟶ (x6 = x15 ⟶ ∀ x22 : ο . x22) ⟶ (x7 = x15 ⟶ ∀ x22 : ο . x22) ⟶ (x8 = x15 ⟶ ∀ x22 : ο . x22) ⟶ (x9 = x15 ⟶ ∀ x22 : ο . x22) ⟶ (x10 = x15 ⟶ ∀ x22 : ο . x22) ⟶ (x11 = x15 ⟶ ∀ x22 : ο . x22) ⟶ (x12 = x15 ⟶ ∀ x22 : ο . x22) ⟶ (x13 = x15 ⟶ ∀ x22 : ο . x22) ⟶ (x14 = x15 ⟶ ∀ x22 : ο . x22) ⟶ (x1 = x16 ⟶ ∀ x22 : ο . x22) ⟶ (x2 = x16 ⟶ ∀ x22 : ο . x22) ⟶ (x3 = x16 ⟶ ∀ x22 : ο . x22) ⟶ (x4 = x16 ⟶ ∀ x22 : ο . x22) ⟶ (x5 = x16 ⟶ ∀ x22 : ο . x22) ⟶ (x6 = x16 ⟶ ∀ x22 : ο . x22) ⟶ (x7 = x16 ⟶ ∀ x22 : ο . x22) ⟶ (x8 = x16 ⟶ ∀ x22 : ο . x22) ⟶ (x9 = x16 ⟶ ∀ x22 : ο . x22) ⟶ (x10 = x16 ⟶ ∀ x22 : ο . x22) ⟶ (x11 = x16 ⟶ ∀ x22 : ο . x22) ⟶ (x12 = x16 ⟶ ∀ x22 : ο . x22) ⟶ (x13 = x16 ⟶ ∀ x22 : ο . x22) ⟶ (x14 = x16 ⟶ ∀ x22 : ο . x22) ⟶ (x15 = x16 ⟶ ∀ x22 : ο . x22) ⟶ (x1 = x17 ⟶ ∀ x22 : ο . x22) ⟶ (x2 = x17 ⟶ ∀ x22 : ο . x22) ⟶ (x3 = x17 ⟶ ∀ x22 : ο . x22) ⟶ (x4 = x17 ⟶ ∀ x22 : ο . x22) ⟶ (x5 = x17 ⟶ ∀ x22 : ο . x22) ⟶ (x6 = x17 ⟶ ∀ x22 : ο . x22) ⟶ (x7 = x17 ⟶ ∀ x22 : ο . x22) ⟶ (x8 = x17 ⟶ ∀ x22 : ο . x22) ⟶ (x9 = x17 ⟶ ∀ x22 : ο . x22) ⟶ (x10 = x17 ⟶ ∀ x22 : ο . x22) ⟶ (x11 = x17 ⟶ ∀ x22 : ο . x22) ⟶ (x12 = x17 ⟶ ∀ x22 : ο . x22) ⟶ (x13 = x17 ⟶ ∀ x22 : ο . x22) ⟶ (x14 = x17 ⟶ ∀ x22 : ο . x22) ⟶ (x15 = x17 ⟶ ∀ x22 : ο . x22) ⟶ (x16 = x17 ⟶ ∀ x22 : ο . x22) ⟶ (x1 = x18 ⟶ ∀ x22 : ο . x22) ⟶ (x2 = x18 ⟶ ∀ x22 : ο . x22) ⟶ (x3 = x18 ⟶ ∀ x22 : ο . x22) ⟶ (x4 = x18 ⟶ ∀ x22 : ο . x22) ⟶ (x5 = x18 ⟶ ∀ x22 : ο . x22) ⟶ (x6 = x18 ⟶ ∀ x22 : ο . x22) ⟶ (x7 = x18 ⟶ ∀ x22 : ο . x22) ⟶ (x8 = x18 ⟶ ∀ x22 : ο . x22) ⟶ (x9 = x18 ⟶ ∀ x22 : ο . x22) ⟶ (x10 = x18 ⟶ ∀ x22 : ο . x22) ⟶ (x11 = x18 ⟶ ∀ x22 : ο . x22) ⟶ (x12 = x18 ⟶ ∀ x22 : ο . x22) ⟶ (x13 = x18 ⟶ ∀ x22 : ο . x22) ⟶ (x14 = x18 ⟶ ∀ x22 : ο . x22) ⟶ (x15 = x18 ⟶ ∀ x22 : ο . x22) ⟶ (x16 = x18 ⟶ ∀ x22 : ο . x22) ⟶ (x17 = x18 ⟶ ∀ x22 : ο . x22) ⟶ (x1 = x19 ⟶ ∀ x22 : ο . x22) ⟶ (x2 = x19 ⟶ ∀ x22 : ο . x22) ⟶ (x3 = x19 ⟶ ∀ x22 : ο . x22) ⟶ (x4 = x19 ⟶ ∀ x22 : ο . x22) ⟶ (x5 = x19 ⟶ ∀ x22 : ο . x22) ⟶ (x6 = x19 ⟶ ∀ x22 : ο . x22) ⟶ (x7 = x19 ⟶ ∀ x22 : ο . x22) ⟶ (x8 = x19 ⟶ ∀ x22 : ο . x22) ⟶ (x9 = x19 ⟶ ∀ x22 : ο . x22) ⟶ (x10 = x19 ⟶ ∀ x22 : ο . x22) ⟶ (x11 = x19 ⟶ ∀ x22 : ο . x22) ⟶ (x12 = x19 ⟶ ∀ x22 : ο . x22) ⟶ (x13 = x19 ⟶ ∀ x22 : ο . x22) ⟶ (x14 = x19 ⟶ ∀ x22 : ο . x22) ⟶ (x15 = x19 ⟶ ∀ x22 : ο . x22) ⟶ (x16 = x19 ⟶ ∀ x22 : ο . x22) ⟶ (x17 = x19 ⟶ ∀ x22 : ο . x22) ⟶ (x18 = x19 ⟶ ∀ x22 : ο . x22) ⟶ (x1 = x20 ⟶ ∀ x22 : ο . x22) ⟶ (x2 = x20 ⟶ ∀ x22 : ο . x22) ⟶ (x3 = x20 ⟶ ∀ x22 : ο . x22) ⟶ (x4 = x20 ⟶ ∀ x22 : ο . x22) ⟶ (x5 = x20 ⟶ ∀ x22 : ο . x22) ⟶ (x6 = x20 ⟶ ∀ x22 : ο . x22) ⟶ (x7 = x20 ⟶ ∀ x22 : ο . x22) ⟶ (x8 = x20 ⟶ ∀ x22 : ο . x22) ⟶ (x9 = x20 ⟶ ∀ x22 : ο . x22) ⟶ (x10 = x20 ⟶ ∀ x22 : ο . x22) ⟶ (x11 = x20 ⟶ ∀ x22 : ο . x22) ⟶ (x12 = x20 ⟶ ∀ x22 : ο . x22) ⟶ (x13 = x20 ⟶ ∀ x22 : ο . x22) ⟶ (x14 = x20 ⟶ ∀ x22 : ο . x22) ⟶ (x15 = x20 ⟶ ∀ x22 : ο . x22) ⟶ (x16 = x20 ⟶ ∀ x22 : ο . x22) ⟶ (x17 = x20 ⟶ ∀ x22 : ο . x22) ⟶ (x18 = x20 ⟶ ∀ x22 : ο . x22) ⟶ (x19 = x20 ⟶ ∀ x22 : ο . x22) ⟶ (x1 = x21 ⟶ ∀ x22 : ο . x22) ⟶ (x2 = x21 ⟶ ∀ x22 : ο . x22) ⟶ (x3 = x21 ⟶ ∀ x22 : ο . x22) ⟶ (x4 = x21 ⟶ ∀ x22 : ο . x22) ⟶ (x5 = x21 ⟶ ∀ x22 : ο . x22) ⟶ (x6 = x21 ⟶ ∀ x22 : ο . x22) ⟶ (x7 = x21 ⟶ ∀ x22 : ο . x22) ⟶ (x8 = x21 ⟶ ∀ x22 : ο . x22) ⟶ (x9 = x21 ⟶ ∀ x22 : ο . x22) ⟶ (x10 = x21 ⟶ ∀ x22 : ο . x22) ⟶ (x11 = x21 ⟶ ∀ x22 : ο . x22) ⟶ (x12 = x21 ⟶ ∀ x22 : ο . x22) ⟶ (x13 = x21 ⟶ ∀ x22 : ο . x22) ⟶ (x14 = x21 ⟶ ∀ x22 : ο . x22) ⟶ (x15 = x21 ⟶ ∀ x22 : ο . x22) ⟶ (x16 = x21 ⟶ ∀ x22 : ο . x22) ⟶ (x17 = x21 ⟶ ∀ x22 : ο . x22) ⟶ (x18 = x21 ⟶ ∀ x22 : ο . x22) ⟶ (x19 = x21 ⟶ ∀ x22 : ο . x22) ⟶ (x20 = x21 ⟶ ∀ x22 : ο . x22) ⟶ atleastp u21 x0 (proof)
Definition u22 := ordsucc u21
Theorem 984c8.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ ∀ x20 . x20 ∈ x0 ⟶ ∀ x21 . x21 ∈ x0 ⟶ ∀ x22 . x22 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x3 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x3 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x4 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x4 ⟶ ∀ x23 : ο . x23) ⟶ (x3 = x4 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x5 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x5 ⟶ ∀ x23 : ο . x23) ⟶ (x3 = x5 ⟶ ∀ x23 : ο . x23) ⟶ (x4 = x5 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x6 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x6 ⟶ ∀ x23 : ο . x23) ⟶ (x3 = x6 ⟶ ∀ x23 : ο . x23) ⟶ (x4 = x6 ⟶ ∀ x23 : ο . x23) ⟶ (x5 = x6 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x7 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x7 ⟶ ∀ x23 : ο . x23) ⟶ (x3 = x7 ⟶ ∀ x23 : ο . x23) ⟶ (x4 = x7 ⟶ ∀ x23 : ο . x23) ⟶ (x5 = x7 ⟶ ∀ x23 : ο . x23) ⟶ (x6 = x7 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x8 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x8 ⟶ ∀ x23 : ο . x23) ⟶ (x3 = x8 ⟶ ∀ x23 : ο . x23) ⟶ (x4 = x8 ⟶ ∀ x23 : ο . x23) ⟶ (x5 = x8 ⟶ ∀ x23 : ο . x23) ⟶ (x6 = x8 ⟶ ∀ x23 : ο . x23) ⟶ (x7 = x8 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x9 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x9 ⟶ ∀ x23 : ο . x23) ⟶ (x3 = x9 ⟶ ∀ x23 : ο . x23) ⟶ (x4 = x9 ⟶ ∀ x23 : ο . x23) ⟶ (x5 = x9 ⟶ ∀ x23 : ο . x23) ⟶ (x6 = x9 ⟶ ∀ x23 : ο . x23) ⟶ (x7 = x9 ⟶ ∀ x23 : ο . x23) ⟶ (x8 = x9 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x10 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x10 ⟶ ∀ x23 : ο . x23) ⟶ (x3 = x10 ⟶ ∀ x23 : ο . x23) ⟶ (x4 = x10 ⟶ ∀ x23 : ο . x23) ⟶ (x5 = x10 ⟶ ∀ x23 : ο . x23) ⟶ (x6 = x10 ⟶ ∀ x23 : ο . x23) ⟶ (x7 = x10 ⟶ ∀ x23 : ο . x23) ⟶ (x8 = x10 ⟶ ∀ x23 : ο . x23) ⟶ (x9 = x10 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x11 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x11 ⟶ ∀ x23 : ο . x23) ⟶ (x3 = x11 ⟶ ∀ x23 : ο . x23) ⟶ (x4 = x11 ⟶ ∀ x23 : ο . x23) ⟶ (x5 = x11 ⟶ ∀ x23 : ο . x23) ⟶ (x6 = x11 ⟶ ∀ x23 : ο . x23) ⟶ (x7 = x11 ⟶ ∀ x23 : ο . x23) ⟶ (x8 = x11 ⟶ ∀ x23 : ο . x23) ⟶ (x9 = x11 ⟶ ∀ x23 : ο . x23) ⟶ (x10 = x11 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x12 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x12 ⟶ ∀ x23 : ο . x23) ⟶ (x3 = x12 ⟶ ∀ x23 : ο . x23) ⟶ (x4 = x12 ⟶ ∀ x23 : ο . x23) ⟶ (x5 = x12 ⟶ ∀ x23 : ο . x23) ⟶ (x6 = x12 ⟶ ∀ x23 : ο . x23) ⟶ (x7 = x12 ⟶ ∀ x23 : ο . x23) ⟶ (x8 = x12 ⟶ ∀ x23 : ο . x23) ⟶ (x9 = x12 ⟶ ∀ x23 : ο . x23) ⟶ (x10 = x12 ⟶ ∀ x23 : ο . x23) ⟶ (x11 = x12 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x13 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x13 ⟶ ∀ x23 : ο . x23) ⟶ (x3 = x13 ⟶ ∀ x23 : ο . x23) ⟶ (x4 = x13 ⟶ ∀ x23 : ο . x23) ⟶ (x5 = x13 ⟶ ∀ x23 : ο . x23) ⟶ (x6 = x13 ⟶ ∀ x23 : ο . x23) ⟶ (x7 = x13 ⟶ ∀ x23 : ο . x23) ⟶ (x8 = x13 ⟶ ∀ x23 : ο . x23) ⟶ (x9 = x13 ⟶ ∀ x23 : ο . x23) ⟶ (x10 = x13 ⟶ ∀ x23 : ο . x23) ⟶ (x11 = x13 ⟶ ∀ x23 : ο . x23) ⟶ (x12 = x13 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x14 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x14 ⟶ ∀ x23 : ο . x23) ⟶ (x3 = x14 ⟶ ∀ x23 : ο . x23) ⟶ (x4 = x14 ⟶ ∀ x23 : ο . x23) ⟶ (x5 = x14 ⟶ ∀ x23 : ο . x23) ⟶ (x6 = x14 ⟶ ∀ x23 : ο . x23) ⟶ (x7 = x14 ⟶ ∀ x23 : ο . x23) ⟶ (x8 = x14 ⟶ ∀ x23 : ο . x23) ⟶ (x9 = x14 ⟶ ∀ x23 : ο . x23) ⟶ (x10 = x14 ⟶ ∀ x23 : ο . x23) ⟶ (x11 = x14 ⟶ ∀ x23 : ο . x23) ⟶ (x12 = x14 ⟶ ∀ x23 : ο . x23) ⟶ (x13 = x14 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x15 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x15 ⟶ ∀ x23 : ο . x23) ⟶ (x3 = x15 ⟶ ∀ x23 : ο . x23) ⟶ (x4 = x15 ⟶ ∀ x23 : ο . x23) ⟶ (x5 = x15 ⟶ ∀ x23 : ο . x23) ⟶ (x6 = x15 ⟶ ∀ x23 : ο . x23) ⟶ (x7 = x15 ⟶ ∀ x23 : ο . x23) ⟶ (x8 = x15 ⟶ ∀ x23 : ο . x23) ⟶ (x9 = x15 ⟶ ∀ x23 : ο . x23) ⟶ (x10 = x15 ⟶ ∀ x23 : ο . x23) ⟶ (x11 = x15 ⟶ ∀ x23 : ο . x23) ⟶ (x12 = x15 ⟶ ∀ x23 : ο . x23) ⟶ (x13 = x15 ⟶ ∀ x23 : ο . x23) ⟶ (x14 = x15 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x16 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x16 ⟶ ∀ x23 : ο . x23) ⟶ (x3 = x16 ⟶ ∀ x23 : ο . x23) ⟶ (x4 = x16 ⟶ ∀ x23 : ο . x23) ⟶ (x5 = x16 ⟶ ∀ x23 : ο . x23) ⟶ (x6 = x16 ⟶ ∀ x23 : ο . x23) ⟶ (x7 = x16 ⟶ ∀ x23 : ο . x23) ⟶ (x8 = x16 ⟶ ∀ x23 : ο . x23) ⟶ (x9 = x16 ⟶ ∀ x23 : ο . x23) ⟶ (x10 = x16 ⟶ ∀ x23 : ο . x23) ⟶ (x11 = x16 ⟶ ∀ x23 : ο . x23) ⟶ (x12 = x16 ⟶ ∀ x23 : ο . x23) ⟶ (x13 = x16 ⟶ ∀ x23 : ο . x23) ⟶ (x14 = x16 ⟶ ∀ x23 : ο . x23) ⟶ (x15 = x16 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x17 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x17 ⟶ ∀ x23 : ο . x23) ⟶ (x3 = x17 ⟶ ∀ x23 : ο . x23) ⟶ (x4 = x17 ⟶ ∀ x23 : ο . x23) ⟶ (x5 = x17 ⟶ ∀ x23 : ο . x23) ⟶ (x6 = x17 ⟶ ∀ x23 : ο . x23) ⟶ (x7 = x17 ⟶ ∀ x23 : ο . x23) ⟶ (x8 = x17 ⟶ ∀ x23 : ο . x23) ⟶ (x9 = x17 ⟶ ∀ x23 : ο . x23) ⟶ (x10 = x17 ⟶ ∀ x23 : ο . x23) ⟶ (x11 = x17 ⟶ ∀ x23 : ο . x23) ⟶ (x12 = x17 ⟶ ∀ x23 : ο . x23) ⟶ (x13 = x17 ⟶ ∀ x23 : ο . x23) ⟶ (x14 = x17 ⟶ ∀ x23 : ο . x23) ⟶ (x15 = x17 ⟶ ∀ x23 : ο . x23) ⟶ (x16 = x17 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x18 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x18 ⟶ ∀ x23 : ο . x23) ⟶ (x3 = x18 ⟶ ∀ x23 : ο . x23) ⟶ (x4 = x18 ⟶ ∀ x23 : ο . x23) ⟶ (x5 = x18 ⟶ ∀ x23 : ο . x23) ⟶ (x6 = x18 ⟶ ∀ x23 : ο . x23) ⟶ (x7 = x18 ⟶ ∀ x23 : ο . x23) ⟶ (x8 = x18 ⟶ ∀ x23 : ο . x23) ⟶ (x9 = x18 ⟶ ∀ x23 : ο . x23) ⟶ (x10 = x18 ⟶ ∀ x23 : ο . x23) ⟶ (x11 = x18 ⟶ ∀ x23 : ο . x23) ⟶ (x12 = x18 ⟶ ∀ x23 : ο . x23) ⟶ (x13 = x18 ⟶ ∀ x23 : ο . x23) ⟶ (x14 = x18 ⟶ ∀ x23 : ο . x23) ⟶ (x15 = x18 ⟶ ∀ x23 : ο . x23) ⟶ (x16 = x18 ⟶ ∀ x23 : ο . x23) ⟶ (x17 = x18 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x19 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x19 ⟶ ∀ x23 : ο . x23) ⟶ (x3 = x19 ⟶ ∀ x23 : ο . x23) ⟶ (x4 = x19 ⟶ ∀ x23 : ο . x23) ⟶ (x5 = x19 ⟶ ∀ x23 : ο . x23) ⟶ (x6 = x19 ⟶ ∀ x23 : ο . x23) ⟶ (x7 = x19 ⟶ ∀ x23 : ο . x23) ⟶ (x8 = x19 ⟶ ∀ x23 : ο . x23) ⟶ (x9 = x19 ⟶ ∀ x23 : ο . x23) ⟶ (x10 = x19 ⟶ ∀ x23 : ο . x23) ⟶ (x11 = x19 ⟶ ∀ x23 : ο . x23) ⟶ (x12 = x19 ⟶ ∀ x23 : ο . x23) ⟶ (x13 = x19 ⟶ ∀ x23 : ο . x23) ⟶ (x14 = x19 ⟶ ∀ x23 : ο . x23) ⟶ (x15 = x19 ⟶ ∀ x23 : ο . x23) ⟶ (x16 = x19 ⟶ ∀ x23 : ο . x23) ⟶ (x17 = x19 ⟶ ∀ x23 : ο . x23) ⟶ (x18 = x19 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x20 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x20 ⟶ ∀ x23 : ο . x23) ⟶ (x3 = x20 ⟶ ∀ x23 : ο . x23) ⟶ (x4 = x20 ⟶ ∀ x23 : ο . x23) ⟶ (x5 = x20 ⟶ ∀ x23 : ο . x23) ⟶ (x6 = x20 ⟶ ∀ x23 : ο . x23) ⟶ (x7 = x20 ⟶ ∀ x23 : ο . x23) ⟶ (x8 = x20 ⟶ ∀ x23 : ο . x23) ⟶ (x9 = x20 ⟶ ∀ x23 : ο . x23) ⟶ (x10 = x20 ⟶ ∀ x23 : ο . x23) ⟶ (x11 = x20 ⟶ ∀ x23 : ο . x23) ⟶ (x12 = x20 ⟶ ∀ x23 : ο . x23) ⟶ (x13 = x20 ⟶ ∀ x23 : ο . x23) ⟶ (x14 = x20 ⟶ ∀ x23 : ο . x23) ⟶ (x15 = x20 ⟶ ∀ x23 : ο . x23) ⟶ (x16 = x20 ⟶ ∀ x23 : ο . x23) ⟶ (x17 = x20 ⟶ ∀ x23 : ο . x23) ⟶ (x18 = x20 ⟶ ∀ x23 : ο . x23) ⟶ (x19 = x20 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x3 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x4 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x5 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x6 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x7 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x8 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x9 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x10 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x11 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x12 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x13 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x14 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x15 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x16 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x17 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x18 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x19 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x20 = x21 ⟶ ∀ x23 : ο . x23) ⟶ (x1 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x2 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x3 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x4 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x5 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x6 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x7 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x8 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x9 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x10 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x11 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x12 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x13 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x14 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x15 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x16 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x17 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x18 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x19 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x20 = x22 ⟶ ∀ x23 : ο . x23) ⟶ (x21 = x22 ⟶ ∀ x23 : ο . x23) ⟶ atleastp u22 x0 (proof)
Definition u23 := ordsucc u22
Theorem e6da2.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ ∀ x20 . x20 ∈ x0 ⟶ ∀ x21 . x21 ∈ x0 ⟶ ∀ x22 . x22 ∈ x0 ⟶ ∀ x23 . x23 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x3 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x3 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x4 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x4 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x4 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x5 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x5 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x5 ⟶ ∀ x24 : ο . x24) ⟶ (x4 = x5 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x6 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x6 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x6 ⟶ ∀ x24 : ο . x24) ⟶ (x4 = x6 ⟶ ∀ x24 : ο . x24) ⟶ (x5 = x6 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x7 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x7 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x7 ⟶ ∀ x24 : ο . x24) ⟶ (x4 = x7 ⟶ ∀ x24 : ο . x24) ⟶ (x5 = x7 ⟶ ∀ x24 : ο . x24) ⟶ (x6 = x7 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x8 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x8 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x8 ⟶ ∀ x24 : ο . x24) ⟶ (x4 = x8 ⟶ ∀ x24 : ο . x24) ⟶ (x5 = x8 ⟶ ∀ x24 : ο . x24) ⟶ (x6 = x8 ⟶ ∀ x24 : ο . x24) ⟶ (x7 = x8 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x9 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x9 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x9 ⟶ ∀ x24 : ο . x24) ⟶ (x4 = x9 ⟶ ∀ x24 : ο . x24) ⟶ (x5 = x9 ⟶ ∀ x24 : ο . x24) ⟶ (x6 = x9 ⟶ ∀ x24 : ο . x24) ⟶ (x7 = x9 ⟶ ∀ x24 : ο . x24) ⟶ (x8 = x9 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x10 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x10 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x10 ⟶ ∀ x24 : ο . x24) ⟶ (x4 = x10 ⟶ ∀ x24 : ο . x24) ⟶ (x5 = x10 ⟶ ∀ x24 : ο . x24) ⟶ (x6 = x10 ⟶ ∀ x24 : ο . x24) ⟶ (x7 = x10 ⟶ ∀ x24 : ο . x24) ⟶ (x8 = x10 ⟶ ∀ x24 : ο . x24) ⟶ (x9 = x10 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x11 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x11 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x11 ⟶ ∀ x24 : ο . x24) ⟶ (x4 = x11 ⟶ ∀ x24 : ο . x24) ⟶ (x5 = x11 ⟶ ∀ x24 : ο . x24) ⟶ (x6 = x11 ⟶ ∀ x24 : ο . x24) ⟶ (x7 = x11 ⟶ ∀ x24 : ο . x24) ⟶ (x8 = x11 ⟶ ∀ x24 : ο . x24) ⟶ (x9 = x11 ⟶ ∀ x24 : ο . x24) ⟶ (x10 = x11 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x12 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x12 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x12 ⟶ ∀ x24 : ο . x24) ⟶ (x4 = x12 ⟶ ∀ x24 : ο . x24) ⟶ (x5 = x12 ⟶ ∀ x24 : ο . x24) ⟶ (x6 = x12 ⟶ ∀ x24 : ο . x24) ⟶ (x7 = x12 ⟶ ∀ x24 : ο . x24) ⟶ (x8 = x12 ⟶ ∀ x24 : ο . x24) ⟶ (x9 = x12 ⟶ ∀ x24 : ο . x24) ⟶ (x10 = x12 ⟶ ∀ x24 : ο . x24) ⟶ (x11 = x12 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x13 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x13 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x13 ⟶ ∀ x24 : ο . x24) ⟶ (x4 = x13 ⟶ ∀ x24 : ο . x24) ⟶ (x5 = x13 ⟶ ∀ x24 : ο . x24) ⟶ (x6 = x13 ⟶ ∀ x24 : ο . x24) ⟶ (x7 = x13 ⟶ ∀ x24 : ο . x24) ⟶ (x8 = x13 ⟶ ∀ x24 : ο . x24) ⟶ (x9 = x13 ⟶ ∀ x24 : ο . x24) ⟶ (x10 = x13 ⟶ ∀ x24 : ο . x24) ⟶ (x11 = x13 ⟶ ∀ x24 : ο . x24) ⟶ (x12 = x13 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x14 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x14 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x14 ⟶ ∀ x24 : ο . x24) ⟶ (x4 = x14 ⟶ ∀ x24 : ο . x24) ⟶ (x5 = x14 ⟶ ∀ x24 : ο . x24) ⟶ (x6 = x14 ⟶ ∀ x24 : ο . x24) ⟶ (x7 = x14 ⟶ ∀ x24 : ο . x24) ⟶ (x8 = x14 ⟶ ∀ x24 : ο . x24) ⟶ (x9 = x14 ⟶ ∀ x24 : ο . x24) ⟶ (x10 = x14 ⟶ ∀ x24 : ο . x24) ⟶ (x11 = x14 ⟶ ∀ x24 : ο . x24) ⟶ (x12 = x14 ⟶ ∀ x24 : ο . x24) ⟶ (x13 = x14 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x15 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x15 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x15 ⟶ ∀ x24 : ο . x24) ⟶ (x4 = x15 ⟶ ∀ x24 : ο . x24) ⟶ (x5 = x15 ⟶ ∀ x24 : ο . x24) ⟶ (x6 = x15 ⟶ ∀ x24 : ο . x24) ⟶ (x7 = x15 ⟶ ∀ x24 : ο . x24) ⟶ (x8 = x15 ⟶ ∀ x24 : ο . x24) ⟶ (x9 = x15 ⟶ ∀ x24 : ο . x24) ⟶ (x10 = x15 ⟶ ∀ x24 : ο . x24) ⟶ (x11 = x15 ⟶ ∀ x24 : ο . x24) ⟶ (x12 = x15 ⟶ ∀ x24 : ο . x24) ⟶ (x13 = x15 ⟶ ∀ x24 : ο . x24) ⟶ (x14 = x15 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x16 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x16 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x16 ⟶ ∀ x24 : ο . x24) ⟶ (x4 = x16 ⟶ ∀ x24 : ο . x24) ⟶ (x5 = x16 ⟶ ∀ x24 : ο . x24) ⟶ (x6 = x16 ⟶ ∀ x24 : ο . x24) ⟶ (x7 = x16 ⟶ ∀ x24 : ο . x24) ⟶ (x8 = x16 ⟶ ∀ x24 : ο . x24) ⟶ (x9 = x16 ⟶ ∀ x24 : ο . x24) ⟶ (x10 = x16 ⟶ ∀ x24 : ο . x24) ⟶ (x11 = x16 ⟶ ∀ x24 : ο . x24) ⟶ (x12 = x16 ⟶ ∀ x24 : ο . x24) ⟶ (x13 = x16 ⟶ ∀ x24 : ο . x24) ⟶ (x14 = x16 ⟶ ∀ x24 : ο . x24) ⟶ (x15 = x16 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x17 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x17 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x17 ⟶ ∀ x24 : ο . x24) ⟶ (x4 = x17 ⟶ ∀ x24 : ο . x24) ⟶ (x5 = x17 ⟶ ∀ x24 : ο . x24) ⟶ (x6 = x17 ⟶ ∀ x24 : ο . x24) ⟶ (x7 = x17 ⟶ ∀ x24 : ο . x24) ⟶ (x8 = x17 ⟶ ∀ x24 : ο . x24) ⟶ (x9 = x17 ⟶ ∀ x24 : ο . x24) ⟶ (x10 = x17 ⟶ ∀ x24 : ο . x24) ⟶ (x11 = x17 ⟶ ∀ x24 : ο . x24) ⟶ (x12 = x17 ⟶ ∀ x24 : ο . x24) ⟶ (x13 = x17 ⟶ ∀ x24 : ο . x24) ⟶ (x14 = x17 ⟶ ∀ x24 : ο . x24) ⟶ (x15 = x17 ⟶ ∀ x24 : ο . x24) ⟶ (x16 = x17 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x18 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x18 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x18 ⟶ ∀ x24 : ο . x24) ⟶ (x4 = x18 ⟶ ∀ x24 : ο . x24) ⟶ (x5 = x18 ⟶ ∀ x24 : ο . x24) ⟶ (x6 = x18 ⟶ ∀ x24 : ο . x24) ⟶ (x7 = x18 ⟶ ∀ x24 : ο . x24) ⟶ (x8 = x18 ⟶ ∀ x24 : ο . x24) ⟶ (x9 = x18 ⟶ ∀ x24 : ο . x24) ⟶ (x10 = x18 ⟶ ∀ x24 : ο . x24) ⟶ (x11 = x18 ⟶ ∀ x24 : ο . x24) ⟶ (x12 = x18 ⟶ ∀ x24 : ο . x24) ⟶ (x13 = x18 ⟶ ∀ x24 : ο . x24) ⟶ (x14 = x18 ⟶ ∀ x24 : ο . x24) ⟶ (x15 = x18 ⟶ ∀ x24 : ο . x24) ⟶ (x16 = x18 ⟶ ∀ x24 : ο . x24) ⟶ (x17 = x18 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x19 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x19 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x19 ⟶ ∀ x24 : ο . x24) ⟶ (x4 = x19 ⟶ ∀ x24 : ο . x24) ⟶ (x5 = x19 ⟶ ∀ x24 : ο . x24) ⟶ (x6 = x19 ⟶ ∀ x24 : ο . x24) ⟶ (x7 = x19 ⟶ ∀ x24 : ο . x24) ⟶ (x8 = x19 ⟶ ∀ x24 : ο . x24) ⟶ (x9 = x19 ⟶ ∀ x24 : ο . x24) ⟶ (x10 = x19 ⟶ ∀ x24 : ο . x24) ⟶ (x11 = x19 ⟶ ∀ x24 : ο . x24) ⟶ (x12 = x19 ⟶ ∀ x24 : ο . x24) ⟶ (x13 = x19 ⟶ ∀ x24 : ο . x24) ⟶ (x14 = x19 ⟶ ∀ x24 : ο . x24) ⟶ (x15 = x19 ⟶ ∀ x24 : ο . x24) ⟶ (x16 = x19 ⟶ ∀ x24 : ο . x24) ⟶ (x17 = x19 ⟶ ∀ x24 : ο . x24) ⟶ (x18 = x19 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x20 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x20 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x20 ⟶ ∀ x24 : ο . x24) ⟶ (x4 = x20 ⟶ ∀ x24 : ο . x24) ⟶ (x5 = x20 ⟶ ∀ x24 : ο . x24) ⟶ (x6 = x20 ⟶ ∀ x24 : ο . x24) ⟶ (x7 = x20 ⟶ ∀ x24 : ο . x24) ⟶ (x8 = x20 ⟶ ∀ x24 : ο . x24) ⟶ (x9 = x20 ⟶ ∀ x24 : ο . x24) ⟶ (x10 = x20 ⟶ ∀ x24 : ο . x24) ⟶ (x11 = x20 ⟶ ∀ x24 : ο . x24) ⟶ (x12 = x20 ⟶ ∀ x24 : ο . x24) ⟶ (x13 = x20 ⟶ ∀ x24 : ο . x24) ⟶ (x14 = x20 ⟶ ∀ x24 : ο . x24) ⟶ (x15 = x20 ⟶ ∀ x24 : ο . x24) ⟶ (x16 = x20 ⟶ ∀ x24 : ο . x24) ⟶ (x17 = x20 ⟶ ∀ x24 : ο . x24) ⟶ (x18 = x20 ⟶ ∀ x24 : ο . x24) ⟶ (x19 = x20 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x4 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x5 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x6 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x7 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x8 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x9 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x10 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x11 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x12 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x13 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x14 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x15 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x16 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x17 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x18 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x19 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x20 = x21 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x4 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x5 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x6 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x7 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x8 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x9 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x10 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x11 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x12 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x13 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x14 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x15 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x16 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x17 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x18 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x19 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x20 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x21 = x22 ⟶ ∀ x24 : ο . x24) ⟶ (x1 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x2 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x3 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x4 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x5 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x6 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x7 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x8 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x9 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x10 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x11 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x12 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x13 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x14 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x15 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x16 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x17 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x18 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x19 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x20 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x21 = x23 ⟶ ∀ x24 : ο . x24) ⟶ (x22 = x23 ⟶ ∀ x24 : ο . x24) ⟶ atleastp u23 x0 (proof)
Definition u24 := ordsucc u23
Theorem cd18c.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ ∀ x20 . x20 ∈ x0 ⟶ ∀ x21 . x21 ∈ x0 ⟶ ∀ x22 . x22 ∈ x0 ⟶ ∀ x23 . x23 ∈ x0 ⟶ ∀ x24 . x24 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x3 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x3 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x4 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x4 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x4 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x5 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x5 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x5 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x5 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x6 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x6 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x6 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x6 ⟶ ∀ x25 : ο . x25) ⟶ (x5 = x6 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x7 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x7 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x7 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x7 ⟶ ∀ x25 : ο . x25) ⟶ (x5 = x7 ⟶ ∀ x25 : ο . x25) ⟶ (x6 = x7 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x8 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x8 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x8 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x8 ⟶ ∀ x25 : ο . x25) ⟶ (x5 = x8 ⟶ ∀ x25 : ο . x25) ⟶ (x6 = x8 ⟶ ∀ x25 : ο . x25) ⟶ (x7 = x8 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x9 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x9 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x9 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x9 ⟶ ∀ x25 : ο . x25) ⟶ (x5 = x9 ⟶ ∀ x25 : ο . x25) ⟶ (x6 = x9 ⟶ ∀ x25 : ο . x25) ⟶ (x7 = x9 ⟶ ∀ x25 : ο . x25) ⟶ (x8 = x9 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x10 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x10 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x10 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x10 ⟶ ∀ x25 : ο . x25) ⟶ (x5 = x10 ⟶ ∀ x25 : ο . x25) ⟶ (x6 = x10 ⟶ ∀ x25 : ο . x25) ⟶ (x7 = x10 ⟶ ∀ x25 : ο . x25) ⟶ (x8 = x10 ⟶ ∀ x25 : ο . x25) ⟶ (x9 = x10 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x11 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x11 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x11 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x11 ⟶ ∀ x25 : ο . x25) ⟶ (x5 = x11 ⟶ ∀ x25 : ο . x25) ⟶ (x6 = x11 ⟶ ∀ x25 : ο . x25) ⟶ (x7 = x11 ⟶ ∀ x25 : ο . x25) ⟶ (x8 = x11 ⟶ ∀ x25 : ο . x25) ⟶ (x9 = x11 ⟶ ∀ x25 : ο . x25) ⟶ (x10 = x11 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x12 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x12 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x12 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x12 ⟶ ∀ x25 : ο . x25) ⟶ (x5 = x12 ⟶ ∀ x25 : ο . x25) ⟶ (x6 = x12 ⟶ ∀ x25 : ο . x25) ⟶ (x7 = x12 ⟶ ∀ x25 : ο . x25) ⟶ (x8 = x12 ⟶ ∀ x25 : ο . x25) ⟶ (x9 = x12 ⟶ ∀ x25 : ο . x25) ⟶ (x10 = x12 ⟶ ∀ x25 : ο . x25) ⟶ (x11 = x12 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x13 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x13 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x13 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x13 ⟶ ∀ x25 : ο . x25) ⟶ (x5 = x13 ⟶ ∀ x25 : ο . x25) ⟶ (x6 = x13 ⟶ ∀ x25 : ο . x25) ⟶ (x7 = x13 ⟶ ∀ x25 : ο . x25) ⟶ (x8 = x13 ⟶ ∀ x25 : ο . x25) ⟶ (x9 = x13 ⟶ ∀ x25 : ο . x25) ⟶ (x10 = x13 ⟶ ∀ x25 : ο . x25) ⟶ (x11 = x13 ⟶ ∀ x25 : ο . x25) ⟶ (x12 = x13 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x14 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x14 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x14 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x14 ⟶ ∀ x25 : ο . x25) ⟶ (x5 = x14 ⟶ ∀ x25 : ο . x25) ⟶ (x6 = x14 ⟶ ∀ x25 : ο . x25) ⟶ (x7 = x14 ⟶ ∀ x25 : ο . x25) ⟶ (x8 = x14 ⟶ ∀ x25 : ο . x25) ⟶ (x9 = x14 ⟶ ∀ x25 : ο . x25) ⟶ (x10 = x14 ⟶ ∀ x25 : ο . x25) ⟶ (x11 = x14 ⟶ ∀ x25 : ο . x25) ⟶ (x12 = x14 ⟶ ∀ x25 : ο . x25) ⟶ (x13 = x14 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x15 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x15 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x15 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x15 ⟶ ∀ x25 : ο . x25) ⟶ (x5 = x15 ⟶ ∀ x25 : ο . x25) ⟶ (x6 = x15 ⟶ ∀ x25 : ο . x25) ⟶ (x7 = x15 ⟶ ∀ x25 : ο . x25) ⟶ (x8 = x15 ⟶ ∀ x25 : ο . x25) ⟶ (x9 = x15 ⟶ ∀ x25 : ο . x25) ⟶ (x10 = x15 ⟶ ∀ x25 : ο . x25) ⟶ (x11 = x15 ⟶ ∀ x25 : ο . x25) ⟶ (x12 = x15 ⟶ ∀ x25 : ο . x25) ⟶ (x13 = x15 ⟶ ∀ x25 : ο . x25) ⟶ (x14 = x15 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x16 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x16 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x16 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x16 ⟶ ∀ x25 : ο . x25) ⟶ (x5 = x16 ⟶ ∀ x25 : ο . x25) ⟶ (x6 = x16 ⟶ ∀ x25 : ο . x25) ⟶ (x7 = x16 ⟶ ∀ x25 : ο . x25) ⟶ (x8 = x16 ⟶ ∀ x25 : ο . x25) ⟶ (x9 = x16 ⟶ ∀ x25 : ο . x25) ⟶ (x10 = x16 ⟶ ∀ x25 : ο . x25) ⟶ (x11 = x16 ⟶ ∀ x25 : ο . x25) ⟶ (x12 = x16 ⟶ ∀ x25 : ο . x25) ⟶ (x13 = x16 ⟶ ∀ x25 : ο . x25) ⟶ (x14 = x16 ⟶ ∀ x25 : ο . x25) ⟶ (x15 = x16 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x17 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x17 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x17 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x17 ⟶ ∀ x25 : ο . x25) ⟶ (x5 = x17 ⟶ ∀ x25 : ο . x25) ⟶ (x6 = x17 ⟶ ∀ x25 : ο . x25) ⟶ (x7 = x17 ⟶ ∀ x25 : ο . x25) ⟶ (x8 = x17 ⟶ ∀ x25 : ο . x25) ⟶ (x9 = x17 ⟶ ∀ x25 : ο . x25) ⟶ (x10 = x17 ⟶ ∀ x25 : ο . x25) ⟶ (x11 = x17 ⟶ ∀ x25 : ο . x25) ⟶ (x12 = x17 ⟶ ∀ x25 : ο . x25) ⟶ (x13 = x17 ⟶ ∀ x25 : ο . x25) ⟶ (x14 = x17 ⟶ ∀ x25 : ο . x25) ⟶ (x15 = x17 ⟶ ∀ x25 : ο . x25) ⟶ (x16 = x17 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x18 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x18 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x18 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x18 ⟶ ∀ x25 : ο . x25) ⟶ (x5 = x18 ⟶ ∀ x25 : ο . x25) ⟶ (x6 = x18 ⟶ ∀ x25 : ο . x25) ⟶ (x7 = x18 ⟶ ∀ x25 : ο . x25) ⟶ (x8 = x18 ⟶ ∀ x25 : ο . x25) ⟶ (x9 = x18 ⟶ ∀ x25 : ο . x25) ⟶ (x10 = x18 ⟶ ∀ x25 : ο . x25) ⟶ (x11 = x18 ⟶ ∀ x25 : ο . x25) ⟶ (x12 = x18 ⟶ ∀ x25 : ο . x25) ⟶ (x13 = x18 ⟶ ∀ x25 : ο . x25) ⟶ (x14 = x18 ⟶ ∀ x25 : ο . x25) ⟶ (x15 = x18 ⟶ ∀ x25 : ο . x25) ⟶ (x16 = x18 ⟶ ∀ x25 : ο . x25) ⟶ (x17 = x18 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x19 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x19 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x19 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x19 ⟶ ∀ x25 : ο . x25) ⟶ (x5 = x19 ⟶ ∀ x25 : ο . x25) ⟶ (x6 = x19 ⟶ ∀ x25 : ο . x25) ⟶ (x7 = x19 ⟶ ∀ x25 : ο . x25) ⟶ (x8 = x19 ⟶ ∀ x25 : ο . x25) ⟶ (x9 = x19 ⟶ ∀ x25 : ο . x25) ⟶ (x10 = x19 ⟶ ∀ x25 : ο . x25) ⟶ (x11 = x19 ⟶ ∀ x25 : ο . x25) ⟶ (x12 = x19 ⟶ ∀ x25 : ο . x25) ⟶ (x13 = x19 ⟶ ∀ x25 : ο . x25) ⟶ (x14 = x19 ⟶ ∀ x25 : ο . x25) ⟶ (x15 = x19 ⟶ ∀ x25 : ο . x25) ⟶ (x16 = x19 ⟶ ∀ x25 : ο . x25) ⟶ (x17 = x19 ⟶ ∀ x25 : ο . x25) ⟶ (x18 = x19 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x20 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x20 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x20 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x20 ⟶ ∀ x25 : ο . x25) ⟶ (x5 = x20 ⟶ ∀ x25 : ο . x25) ⟶ (x6 = x20 ⟶ ∀ x25 : ο . x25) ⟶ (x7 = x20 ⟶ ∀ x25 : ο . x25) ⟶ (x8 = x20 ⟶ ∀ x25 : ο . x25) ⟶ (x9 = x20 ⟶ ∀ x25 : ο . x25) ⟶ (x10 = x20 ⟶ ∀ x25 : ο . x25) ⟶ (x11 = x20 ⟶ ∀ x25 : ο . x25) ⟶ (x12 = x20 ⟶ ∀ x25 : ο . x25) ⟶ (x13 = x20 ⟶ ∀ x25 : ο . x25) ⟶ (x14 = x20 ⟶ ∀ x25 : ο . x25) ⟶ (x15 = x20 ⟶ ∀ x25 : ο . x25) ⟶ (x16 = x20 ⟶ ∀ x25 : ο . x25) ⟶ (x17 = x20 ⟶ ∀ x25 : ο . x25) ⟶ (x18 = x20 ⟶ ∀ x25 : ο . x25) ⟶ (x19 = x20 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x5 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x6 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x7 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x8 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x9 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x10 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x11 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x12 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x13 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x14 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x15 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x16 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x17 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x18 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x19 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x20 = x21 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x5 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x6 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x7 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x8 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x9 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x10 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x11 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x12 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x13 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x14 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x15 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x16 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x17 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x18 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x19 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x20 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x21 = x22 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x5 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x6 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x7 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x8 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x9 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x10 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x11 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x12 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x13 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x14 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x15 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x16 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x17 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x18 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x19 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x20 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x21 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x22 = x23 ⟶ ∀ x25 : ο . x25) ⟶ (x1 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x2 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x3 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x4 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x5 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x6 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x7 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x8 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x9 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x10 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x11 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x12 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x13 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x14 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x15 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x16 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x17 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x18 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x19 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x20 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x21 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x22 = x24 ⟶ ∀ x25 : ο . x25) ⟶ (x23 = x24 ⟶ ∀ x25 : ο . x25) ⟶ atleastp u24 x0 (proof)
Definition u25 := ordsucc u24
Theorem 7ee90.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ ∀ x20 . x20 ∈ x0 ⟶ ∀ x21 . x21 ∈ x0 ⟶ ∀ x22 . x22 ∈ x0 ⟶ ∀ x23 . x23 ∈ x0 ⟶ ∀ x24 . x24 ∈ x0 ⟶ ∀ x25 . x25 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x3 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x3 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x4 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x4 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x4 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x5 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x5 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x5 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x5 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x6 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x6 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x6 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x6 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x6 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x7 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x7 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x7 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x7 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x7 ⟶ ∀ x26 : ο . x26) ⟶ (x6 = x7 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x8 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x8 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x8 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x8 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x8 ⟶ ∀ x26 : ο . x26) ⟶ (x6 = x8 ⟶ ∀ x26 : ο . x26) ⟶ (x7 = x8 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x9 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x9 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x9 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x9 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x9 ⟶ ∀ x26 : ο . x26) ⟶ (x6 = x9 ⟶ ∀ x26 : ο . x26) ⟶ (x7 = x9 ⟶ ∀ x26 : ο . x26) ⟶ (x8 = x9 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x10 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x10 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x10 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x10 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x10 ⟶ ∀ x26 : ο . x26) ⟶ (x6 = x10 ⟶ ∀ x26 : ο . x26) ⟶ (x7 = x10 ⟶ ∀ x26 : ο . x26) ⟶ (x8 = x10 ⟶ ∀ x26 : ο . x26) ⟶ (x9 = x10 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x11 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x11 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x11 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x11 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x11 ⟶ ∀ x26 : ο . x26) ⟶ (x6 = x11 ⟶ ∀ x26 : ο . x26) ⟶ (x7 = x11 ⟶ ∀ x26 : ο . x26) ⟶ (x8 = x11 ⟶ ∀ x26 : ο . x26) ⟶ (x9 = x11 ⟶ ∀ x26 : ο . x26) ⟶ (x10 = x11 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x12 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x12 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x12 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x12 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x12 ⟶ ∀ x26 : ο . x26) ⟶ (x6 = x12 ⟶ ∀ x26 : ο . x26) ⟶ (x7 = x12 ⟶ ∀ x26 : ο . x26) ⟶ (x8 = x12 ⟶ ∀ x26 : ο . x26) ⟶ (x9 = x12 ⟶ ∀ x26 : ο . x26) ⟶ (x10 = x12 ⟶ ∀ x26 : ο . x26) ⟶ (x11 = x12 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x13 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x13 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x13 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x13 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x13 ⟶ ∀ x26 : ο . x26) ⟶ (x6 = x13 ⟶ ∀ x26 : ο . x26) ⟶ (x7 = x13 ⟶ ∀ x26 : ο . x26) ⟶ (x8 = x13 ⟶ ∀ x26 : ο . x26) ⟶ (x9 = x13 ⟶ ∀ x26 : ο . x26) ⟶ (x10 = x13 ⟶ ∀ x26 : ο . x26) ⟶ (x11 = x13 ⟶ ∀ x26 : ο . x26) ⟶ (x12 = x13 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x14 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x14 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x14 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x14 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x14 ⟶ ∀ x26 : ο . x26) ⟶ (x6 = x14 ⟶ ∀ x26 : ο . x26) ⟶ (x7 = x14 ⟶ ∀ x26 : ο . x26) ⟶ (x8 = x14 ⟶ ∀ x26 : ο . x26) ⟶ (x9 = x14 ⟶ ∀ x26 : ο . x26) ⟶ (x10 = x14 ⟶ ∀ x26 : ο . x26) ⟶ (x11 = x14 ⟶ ∀ x26 : ο . x26) ⟶ (x12 = x14 ⟶ ∀ x26 : ο . x26) ⟶ (x13 = x14 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x15 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x15 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x15 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x15 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x15 ⟶ ∀ x26 : ο . x26) ⟶ (x6 = x15 ⟶ ∀ x26 : ο . x26) ⟶ (x7 = x15 ⟶ ∀ x26 : ο . x26) ⟶ (x8 = x15 ⟶ ∀ x26 : ο . x26) ⟶ (x9 = x15 ⟶ ∀ x26 : ο . x26) ⟶ (x10 = x15 ⟶ ∀ x26 : ο . x26) ⟶ (x11 = x15 ⟶ ∀ x26 : ο . x26) ⟶ (x12 = x15 ⟶ ∀ x26 : ο . x26) ⟶ (x13 = x15 ⟶ ∀ x26 : ο . x26) ⟶ (x14 = x15 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x16 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x16 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x16 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x16 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x16 ⟶ ∀ x26 : ο . x26) ⟶ (x6 = x16 ⟶ ∀ x26 : ο . x26) ⟶ (x7 = x16 ⟶ ∀ x26 : ο . x26) ⟶ (x8 = x16 ⟶ ∀ x26 : ο . x26) ⟶ (x9 = x16 ⟶ ∀ x26 : ο . x26) ⟶ (x10 = x16 ⟶ ∀ x26 : ο . x26) ⟶ (x11 = x16 ⟶ ∀ x26 : ο . x26) ⟶ (x12 = x16 ⟶ ∀ x26 : ο . x26) ⟶ (x13 = x16 ⟶ ∀ x26 : ο . x26) ⟶ (x14 = x16 ⟶ ∀ x26 : ο . x26) ⟶ (x15 = x16 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x17 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x17 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x17 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x17 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x17 ⟶ ∀ x26 : ο . x26) ⟶ (x6 = x17 ⟶ ∀ x26 : ο . x26) ⟶ (x7 = x17 ⟶ ∀ x26 : ο . x26) ⟶ (x8 = x17 ⟶ ∀ x26 : ο . x26) ⟶ (x9 = x17 ⟶ ∀ x26 : ο . x26) ⟶ (x10 = x17 ⟶ ∀ x26 : ο . x26) ⟶ (x11 = x17 ⟶ ∀ x26 : ο . x26) ⟶ (x12 = x17 ⟶ ∀ x26 : ο . x26) ⟶ (x13 = x17 ⟶ ∀ x26 : ο . x26) ⟶ (x14 = x17 ⟶ ∀ x26 : ο . x26) ⟶ (x15 = x17 ⟶ ∀ x26 : ο . x26) ⟶ (x16 = x17 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x18 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x18 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x18 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x18 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x18 ⟶ ∀ x26 : ο . x26) ⟶ (x6 = x18 ⟶ ∀ x26 : ο . x26) ⟶ (x7 = x18 ⟶ ∀ x26 : ο . x26) ⟶ (x8 = x18 ⟶ ∀ x26 : ο . x26) ⟶ (x9 = x18 ⟶ ∀ x26 : ο . x26) ⟶ (x10 = x18 ⟶ ∀ x26 : ο . x26) ⟶ (x11 = x18 ⟶ ∀ x26 : ο . x26) ⟶ (x12 = x18 ⟶ ∀ x26 : ο . x26) ⟶ (x13 = x18 ⟶ ∀ x26 : ο . x26) ⟶ (x14 = x18 ⟶ ∀ x26 : ο . x26) ⟶ (x15 = x18 ⟶ ∀ x26 : ο . x26) ⟶ (x16 = x18 ⟶ ∀ x26 : ο . x26) ⟶ (x17 = x18 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x19 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x19 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x19 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x19 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x19 ⟶ ∀ x26 : ο . x26) ⟶ (x6 = x19 ⟶ ∀ x26 : ο . x26) ⟶ (x7 = x19 ⟶ ∀ x26 : ο . x26) ⟶ (x8 = x19 ⟶ ∀ x26 : ο . x26) ⟶ (x9 = x19 ⟶ ∀ x26 : ο . x26) ⟶ (x10 = x19 ⟶ ∀ x26 : ο . x26) ⟶ (x11 = x19 ⟶ ∀ x26 : ο . x26) ⟶ (x12 = x19 ⟶ ∀ x26 : ο . x26) ⟶ (x13 = x19 ⟶ ∀ x26 : ο . x26) ⟶ (x14 = x19 ⟶ ∀ x26 : ο . x26) ⟶ (x15 = x19 ⟶ ∀ x26 : ο . x26) ⟶ (x16 = x19 ⟶ ∀ x26 : ο . x26) ⟶ (x17 = x19 ⟶ ∀ x26 : ο . x26) ⟶ (x18 = x19 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x20 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x20 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x20 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x20 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x20 ⟶ ∀ x26 : ο . x26) ⟶ (x6 = x20 ⟶ ∀ x26 : ο . x26) ⟶ (x7 = x20 ⟶ ∀ x26 : ο . x26) ⟶ (x8 = x20 ⟶ ∀ x26 : ο . x26) ⟶ (x9 = x20 ⟶ ∀ x26 : ο . x26) ⟶ (x10 = x20 ⟶ ∀ x26 : ο . x26) ⟶ (x11 = x20 ⟶ ∀ x26 : ο . x26) ⟶ (x12 = x20 ⟶ ∀ x26 : ο . x26) ⟶ (x13 = x20 ⟶ ∀ x26 : ο . x26) ⟶ (x14 = x20 ⟶ ∀ x26 : ο . x26) ⟶ (x15 = x20 ⟶ ∀ x26 : ο . x26) ⟶ (x16 = x20 ⟶ ∀ x26 : ο . x26) ⟶ (x17 = x20 ⟶ ∀ x26 : ο . x26) ⟶ (x18 = x20 ⟶ ∀ x26 : ο . x26) ⟶ (x19 = x20 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x6 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x7 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x8 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x9 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x10 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x11 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x12 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x13 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x14 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x15 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x16 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x17 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x18 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x19 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x20 = x21 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x6 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x7 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x8 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x9 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x10 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x11 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x12 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x13 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x14 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x15 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x16 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x17 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x18 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x19 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x20 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x21 = x22 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x6 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x7 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x8 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x9 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x10 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x11 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x12 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x13 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x14 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x15 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x16 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x17 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x18 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x19 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x20 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x21 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x22 = x23 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x6 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x7 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x8 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x9 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x10 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x11 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x12 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x13 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x14 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x15 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x16 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x17 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x18 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x19 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x20 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x21 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x22 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x23 = x24 ⟶ ∀ x26 : ο . x26) ⟶ (x1 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x2 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x3 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x4 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x5 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x6 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x7 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x8 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x9 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x10 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x11 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x12 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x13 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x14 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x15 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x16 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x17 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x18 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x19 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x20 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x21 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x22 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x23 = x25 ⟶ ∀ x26 : ο . x26) ⟶ (x24 = x25 ⟶ ∀ x26 : ο . x26) ⟶ atleastp u25 x0 (proof)
Definition u26 := ordsucc u25
Theorem 79bd2.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ ∀ x20 . x20 ∈ x0 ⟶ ∀ x21 . x21 ∈ x0 ⟶ ∀ x22 . x22 ∈ x0 ⟶ ∀ x23 . x23 ∈ x0 ⟶ ∀ x24 . x24 ∈ x0 ⟶ ∀ x25 . x25 ∈ x0 ⟶ ∀ x26 . x26 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x3 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x3 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x4 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x4 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x4 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x5 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x5 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x5 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x5 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x6 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x6 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x6 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x6 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x6 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x7 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x7 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x7 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x7 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x7 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x7 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x8 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x8 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x8 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x8 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x8 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x8 ⟶ ∀ x27 : ο . x27) ⟶ (x7 = x8 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x9 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x9 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x9 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x9 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x9 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x9 ⟶ ∀ x27 : ο . x27) ⟶ (x7 = x9 ⟶ ∀ x27 : ο . x27) ⟶ (x8 = x9 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x10 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x10 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x10 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x10 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x10 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x10 ⟶ ∀ x27 : ο . x27) ⟶ (x7 = x10 ⟶ ∀ x27 : ο . x27) ⟶ (x8 = x10 ⟶ ∀ x27 : ο . x27) ⟶ (x9 = x10 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x11 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x11 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x11 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x11 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x11 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x11 ⟶ ∀ x27 : ο . x27) ⟶ (x7 = x11 ⟶ ∀ x27 : ο . x27) ⟶ (x8 = x11 ⟶ ∀ x27 : ο . x27) ⟶ (x9 = x11 ⟶ ∀ x27 : ο . x27) ⟶ (x10 = x11 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x12 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x12 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x12 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x12 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x12 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x12 ⟶ ∀ x27 : ο . x27) ⟶ (x7 = x12 ⟶ ∀ x27 : ο . x27) ⟶ (x8 = x12 ⟶ ∀ x27 : ο . x27) ⟶ (x9 = x12 ⟶ ∀ x27 : ο . x27) ⟶ (x10 = x12 ⟶ ∀ x27 : ο . x27) ⟶ (x11 = x12 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x13 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x13 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x13 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x13 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x13 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x13 ⟶ ∀ x27 : ο . x27) ⟶ (x7 = x13 ⟶ ∀ x27 : ο . x27) ⟶ (x8 = x13 ⟶ ∀ x27 : ο . x27) ⟶ (x9 = x13 ⟶ ∀ x27 : ο . x27) ⟶ (x10 = x13 ⟶ ∀ x27 : ο . x27) ⟶ (x11 = x13 ⟶ ∀ x27 : ο . x27) ⟶ (x12 = x13 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x14 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x14 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x14 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x14 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x14 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x14 ⟶ ∀ x27 : ο . x27) ⟶ (x7 = x14 ⟶ ∀ x27 : ο . x27) ⟶ (x8 = x14 ⟶ ∀ x27 : ο . x27) ⟶ (x9 = x14 ⟶ ∀ x27 : ο . x27) ⟶ (x10 = x14 ⟶ ∀ x27 : ο . x27) ⟶ (x11 = x14 ⟶ ∀ x27 : ο . x27) ⟶ (x12 = x14 ⟶ ∀ x27 : ο . x27) ⟶ (x13 = x14 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x15 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x15 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x15 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x15 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x15 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x15 ⟶ ∀ x27 : ο . x27) ⟶ (x7 = x15 ⟶ ∀ x27 : ο . x27) ⟶ (x8 = x15 ⟶ ∀ x27 : ο . x27) ⟶ (x9 = x15 ⟶ ∀ x27 : ο . x27) ⟶ (x10 = x15 ⟶ ∀ x27 : ο . x27) ⟶ (x11 = x15 ⟶ ∀ x27 : ο . x27) ⟶ (x12 = x15 ⟶ ∀ x27 : ο . x27) ⟶ (x13 = x15 ⟶ ∀ x27 : ο . x27) ⟶ (x14 = x15 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x16 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x16 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x16 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x16 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x16 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x16 ⟶ ∀ x27 : ο . x27) ⟶ (x7 = x16 ⟶ ∀ x27 : ο . x27) ⟶ (x8 = x16 ⟶ ∀ x27 : ο . x27) ⟶ (x9 = x16 ⟶ ∀ x27 : ο . x27) ⟶ (x10 = x16 ⟶ ∀ x27 : ο . x27) ⟶ (x11 = x16 ⟶ ∀ x27 : ο . x27) ⟶ (x12 = x16 ⟶ ∀ x27 : ο . x27) ⟶ (x13 = x16 ⟶ ∀ x27 : ο . x27) ⟶ (x14 = x16 ⟶ ∀ x27 : ο . x27) ⟶ (x15 = x16 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x17 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x17 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x17 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x17 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x17 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x17 ⟶ ∀ x27 : ο . x27) ⟶ (x7 = x17 ⟶ ∀ x27 : ο . x27) ⟶ (x8 = x17 ⟶ ∀ x27 : ο . x27) ⟶ (x9 = x17 ⟶ ∀ x27 : ο . x27) ⟶ (x10 = x17 ⟶ ∀ x27 : ο . x27) ⟶ (x11 = x17 ⟶ ∀ x27 : ο . x27) ⟶ (x12 = x17 ⟶ ∀ x27 : ο . x27) ⟶ (x13 = x17 ⟶ ∀ x27 : ο . x27) ⟶ (x14 = x17 ⟶ ∀ x27 : ο . x27) ⟶ (x15 = x17 ⟶ ∀ x27 : ο . x27) ⟶ (x16 = x17 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x18 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x18 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x18 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x18 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x18 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x18 ⟶ ∀ x27 : ο . x27) ⟶ (x7 = x18 ⟶ ∀ x27 : ο . x27) ⟶ (x8 = x18 ⟶ ∀ x27 : ο . x27) ⟶ (x9 = x18 ⟶ ∀ x27 : ο . x27) ⟶ (x10 = x18 ⟶ ∀ x27 : ο . x27) ⟶ (x11 = x18 ⟶ ∀ x27 : ο . x27) ⟶ (x12 = x18 ⟶ ∀ x27 : ο . x27) ⟶ (x13 = x18 ⟶ ∀ x27 : ο . x27) ⟶ (x14 = x18 ⟶ ∀ x27 : ο . x27) ⟶ (x15 = x18 ⟶ ∀ x27 : ο . x27) ⟶ (x16 = x18 ⟶ ∀ x27 : ο . x27) ⟶ (x17 = x18 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x19 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x19 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x19 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x19 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x19 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x19 ⟶ ∀ x27 : ο . x27) ⟶ (x7 = x19 ⟶ ∀ x27 : ο . x27) ⟶ (x8 = x19 ⟶ ∀ x27 : ο . x27) ⟶ (x9 = x19 ⟶ ∀ x27 : ο . x27) ⟶ (x10 = x19 ⟶ ∀ x27 : ο . x27) ⟶ (x11 = x19 ⟶ ∀ x27 : ο . x27) ⟶ (x12 = x19 ⟶ ∀ x27 : ο . x27) ⟶ (x13 = x19 ⟶ ∀ x27 : ο . x27) ⟶ (x14 = x19 ⟶ ∀ x27 : ο . x27) ⟶ (x15 = x19 ⟶ ∀ x27 : ο . x27) ⟶ (x16 = x19 ⟶ ∀ x27 : ο . x27) ⟶ (x17 = x19 ⟶ ∀ x27 : ο . x27) ⟶ (x18 = x19 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x20 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x20 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x20 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x20 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x20 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x20 ⟶ ∀ x27 : ο . x27) ⟶ (x7 = x20 ⟶ ∀ x27 : ο . x27) ⟶ (x8 = x20 ⟶ ∀ x27 : ο . x27) ⟶ (x9 = x20 ⟶ ∀ x27 : ο . x27) ⟶ (x10 = x20 ⟶ ∀ x27 : ο . x27) ⟶ (x11 = x20 ⟶ ∀ x27 : ο . x27) ⟶ (x12 = x20 ⟶ ∀ x27 : ο . x27) ⟶ (x13 = x20 ⟶ ∀ x27 : ο . x27) ⟶ (x14 = x20 ⟶ ∀ x27 : ο . x27) ⟶ (x15 = x20 ⟶ ∀ x27 : ο . x27) ⟶ (x16 = x20 ⟶ ∀ x27 : ο . x27) ⟶ (x17 = x20 ⟶ ∀ x27 : ο . x27) ⟶ (x18 = x20 ⟶ ∀ x27 : ο . x27) ⟶ (x19 = x20 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x7 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x8 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x9 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x10 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x11 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x12 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x13 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x14 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x15 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x16 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x17 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x18 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x19 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x20 = x21 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x7 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x8 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x9 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x10 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x11 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x12 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x13 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x14 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x15 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x16 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x17 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x18 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x19 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x20 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x21 = x22 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x7 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x8 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x9 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x10 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x11 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x12 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x13 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x14 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x15 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x16 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x17 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x18 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x19 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x20 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x21 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x22 = x23 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x7 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x8 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x9 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x10 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x11 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x12 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x13 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x14 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x15 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x16 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x17 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x18 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x19 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x20 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x21 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x22 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x23 = x24 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x7 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x8 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x9 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x10 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x11 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x12 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x13 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x14 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x15 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x16 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x17 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x18 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x19 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x20 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x21 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x22 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x23 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x24 = x25 ⟶ ∀ x27 : ο . x27) ⟶ (x1 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x2 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x3 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x4 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x5 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x6 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x7 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x8 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x9 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x10 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x11 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x12 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x13 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x14 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x15 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x16 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x17 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x18 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x19 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x20 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x21 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x22 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x23 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x24 = x26 ⟶ ∀ x27 : ο . x27) ⟶ (x25 = x26 ⟶ ∀ x27 : ο . x27) ⟶ atleastp u26 x0 (proof)
Definition u27 := ordsucc u26
Theorem b36ff.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ ∀ x20 . x20 ∈ x0 ⟶ ∀ x21 . x21 ∈ x0 ⟶ ∀ x22 . x22 ∈ x0 ⟶ ∀ x23 . x23 ∈ x0 ⟶ ∀ x24 . x24 ∈ x0 ⟶ ∀ x25 . x25 ∈ x0 ⟶ ∀ x26 . x26 ∈ x0 ⟶ ∀ x27 . x27 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x3 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x3 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x4 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x4 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x4 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x5 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x5 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x5 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x5 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x6 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x6 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x6 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x6 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x6 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x7 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x7 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x7 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x7 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x7 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x7 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x8 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x8 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x8 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x8 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x8 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x8 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x8 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x9 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x9 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x9 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x9 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x9 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x9 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x9 ⟶ ∀ x28 : ο . x28) ⟶ (x8 = x9 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x10 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x10 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x10 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x10 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x10 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x10 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x10 ⟶ ∀ x28 : ο . x28) ⟶ (x8 = x10 ⟶ ∀ x28 : ο . x28) ⟶ (x9 = x10 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x11 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x11 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x11 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x11 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x11 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x11 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x11 ⟶ ∀ x28 : ο . x28) ⟶ (x8 = x11 ⟶ ∀ x28 : ο . x28) ⟶ (x9 = x11 ⟶ ∀ x28 : ο . x28) ⟶ (x10 = x11 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x12 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x12 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x12 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x12 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x12 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x12 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x12 ⟶ ∀ x28 : ο . x28) ⟶ (x8 = x12 ⟶ ∀ x28 : ο . x28) ⟶ (x9 = x12 ⟶ ∀ x28 : ο . x28) ⟶ (x10 = x12 ⟶ ∀ x28 : ο . x28) ⟶ (x11 = x12 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x13 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x13 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x13 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x13 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x13 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x13 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x13 ⟶ ∀ x28 : ο . x28) ⟶ (x8 = x13 ⟶ ∀ x28 : ο . x28) ⟶ (x9 = x13 ⟶ ∀ x28 : ο . x28) ⟶ (x10 = x13 ⟶ ∀ x28 : ο . x28) ⟶ (x11 = x13 ⟶ ∀ x28 : ο . x28) ⟶ (x12 = x13 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x14 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x14 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x14 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x14 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x14 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x14 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x14 ⟶ ∀ x28 : ο . x28) ⟶ (x8 = x14 ⟶ ∀ x28 : ο . x28) ⟶ (x9 = x14 ⟶ ∀ x28 : ο . x28) ⟶ (x10 = x14 ⟶ ∀ x28 : ο . x28) ⟶ (x11 = x14 ⟶ ∀ x28 : ο . x28) ⟶ (x12 = x14 ⟶ ∀ x28 : ο . x28) ⟶ (x13 = x14 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x15 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x15 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x15 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x15 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x15 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x15 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x15 ⟶ ∀ x28 : ο . x28) ⟶ (x8 = x15 ⟶ ∀ x28 : ο . x28) ⟶ (x9 = x15 ⟶ ∀ x28 : ο . x28) ⟶ (x10 = x15 ⟶ ∀ x28 : ο . x28) ⟶ (x11 = x15 ⟶ ∀ x28 : ο . x28) ⟶ (x12 = x15 ⟶ ∀ x28 : ο . x28) ⟶ (x13 = x15 ⟶ ∀ x28 : ο . x28) ⟶ (x14 = x15 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x16 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x16 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x16 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x16 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x16 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x16 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x16 ⟶ ∀ x28 : ο . x28) ⟶ (x8 = x16 ⟶ ∀ x28 : ο . x28) ⟶ (x9 = x16 ⟶ ∀ x28 : ο . x28) ⟶ (x10 = x16 ⟶ ∀ x28 : ο . x28) ⟶ (x11 = x16 ⟶ ∀ x28 : ο . x28) ⟶ (x12 = x16 ⟶ ∀ x28 : ο . x28) ⟶ (x13 = x16 ⟶ ∀ x28 : ο . x28) ⟶ (x14 = x16 ⟶ ∀ x28 : ο . x28) ⟶ (x15 = x16 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x17 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x17 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x17 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x17 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x17 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x17 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x17 ⟶ ∀ x28 : ο . x28) ⟶ (x8 = x17 ⟶ ∀ x28 : ο . x28) ⟶ (x9 = x17 ⟶ ∀ x28 : ο . x28) ⟶ (x10 = x17 ⟶ ∀ x28 : ο . x28) ⟶ (x11 = x17 ⟶ ∀ x28 : ο . x28) ⟶ (x12 = x17 ⟶ ∀ x28 : ο . x28) ⟶ (x13 = x17 ⟶ ∀ x28 : ο . x28) ⟶ (x14 = x17 ⟶ ∀ x28 : ο . x28) ⟶ (x15 = x17 ⟶ ∀ x28 : ο . x28) ⟶ (x16 = x17 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x18 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x18 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x18 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x18 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x18 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x18 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x18 ⟶ ∀ x28 : ο . x28) ⟶ (x8 = x18 ⟶ ∀ x28 : ο . x28) ⟶ (x9 = x18 ⟶ ∀ x28 : ο . x28) ⟶ (x10 = x18 ⟶ ∀ x28 : ο . x28) ⟶ (x11 = x18 ⟶ ∀ x28 : ο . x28) ⟶ (x12 = x18 ⟶ ∀ x28 : ο . x28) ⟶ (x13 = x18 ⟶ ∀ x28 : ο . x28) ⟶ (x14 = x18 ⟶ ∀ x28 : ο . x28) ⟶ (x15 = x18 ⟶ ∀ x28 : ο . x28) ⟶ (x16 = x18 ⟶ ∀ x28 : ο . x28) ⟶ (x17 = x18 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x19 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x19 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x19 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x19 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x19 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x19 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x19 ⟶ ∀ x28 : ο . x28) ⟶ (x8 = x19 ⟶ ∀ x28 : ο . x28) ⟶ (x9 = x19 ⟶ ∀ x28 : ο . x28) ⟶ (x10 = x19 ⟶ ∀ x28 : ο . x28) ⟶ (x11 = x19 ⟶ ∀ x28 : ο . x28) ⟶ (x12 = x19 ⟶ ∀ x28 : ο . x28) ⟶ (x13 = x19 ⟶ ∀ x28 : ο . x28) ⟶ (x14 = x19 ⟶ ∀ x28 : ο . x28) ⟶ (x15 = x19 ⟶ ∀ x28 : ο . x28) ⟶ (x16 = x19 ⟶ ∀ x28 : ο . x28) ⟶ (x17 = x19 ⟶ ∀ x28 : ο . x28) ⟶ (x18 = x19 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x20 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x20 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x20 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x20 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x20 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x20 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x20 ⟶ ∀ x28 : ο . x28) ⟶ (x8 = x20 ⟶ ∀ x28 : ο . x28) ⟶ (x9 = x20 ⟶ ∀ x28 : ο . x28) ⟶ (x10 = x20 ⟶ ∀ x28 : ο . x28) ⟶ (x11 = x20 ⟶ ∀ x28 : ο . x28) ⟶ (x12 = x20 ⟶ ∀ x28 : ο . x28) ⟶ (x13 = x20 ⟶ ∀ x28 : ο . x28) ⟶ (x14 = x20 ⟶ ∀ x28 : ο . x28) ⟶ (x15 = x20 ⟶ ∀ x28 : ο . x28) ⟶ (x16 = x20 ⟶ ∀ x28 : ο . x28) ⟶ (x17 = x20 ⟶ ∀ x28 : ο . x28) ⟶ (x18 = x20 ⟶ ∀ x28 : ο . x28) ⟶ (x19 = x20 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x8 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x9 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x10 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x11 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x12 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x13 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x14 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x15 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x16 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x17 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x18 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x19 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x20 = x21 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x8 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x9 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x10 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x11 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x12 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x13 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x14 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x15 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x16 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x17 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x18 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x19 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x20 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x21 = x22 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x8 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x9 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x10 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x11 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x12 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x13 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x14 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x15 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x16 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x17 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x18 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x19 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x20 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x21 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x22 = x23 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x8 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x9 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x10 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x11 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x12 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x13 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x14 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x15 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x16 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x17 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x18 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x19 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x20 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x21 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x22 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x23 = x24 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x8 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x9 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x10 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x11 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x12 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x13 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x14 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x15 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x16 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x17 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x18 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x19 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x20 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x21 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x22 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x23 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x24 = x25 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x8 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x9 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x10 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x11 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x12 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x13 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x14 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x15 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x16 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x17 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x18 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x19 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x20 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x21 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x22 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x23 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x24 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x25 = x26 ⟶ ∀ x28 : ο . x28) ⟶ (x1 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x2 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x3 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x4 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x5 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x6 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x7 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x8 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x9 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x10 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x11 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x12 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x13 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x14 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x15 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x16 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x17 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x18 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x19 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x20 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x21 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x22 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x23 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x24 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x25 = x27 ⟶ ∀ x28 : ο . x28) ⟶ (x26 = x27 ⟶ ∀ x28 : ο . x28) ⟶ atleastp u27 x0 (proof)
Definition u28 := ordsucc u27
Theorem bf9c0.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ ∀ x20 . x20 ∈ x0 ⟶ ∀ x21 . x21 ∈ x0 ⟶ ∀ x22 . x22 ∈ x0 ⟶ ∀ x23 . x23 ∈ x0 ⟶ ∀ x24 . x24 ∈ x0 ⟶ ∀ x25 . x25 ∈ x0 ⟶ ∀ x26 . x26 ∈ x0 ⟶ ∀ x27 . x27 ∈ x0 ⟶ ∀ x28 . x28 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x3 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x3 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x4 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x4 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x4 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x5 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x5 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x5 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x5 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x6 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x6 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x6 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x6 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x6 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x7 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x7 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x7 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x7 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x7 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x7 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x8 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x8 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x8 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x8 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x8 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x8 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x8 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x9 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x9 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x9 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x9 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x9 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x9 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x9 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x9 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x10 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x10 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x10 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x10 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x10 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x10 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x10 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x10 ⟶ ∀ x29 : ο . x29) ⟶ (x9 = x10 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x11 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x11 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x11 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x11 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x11 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x11 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x11 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x11 ⟶ ∀ x29 : ο . x29) ⟶ (x9 = x11 ⟶ ∀ x29 : ο . x29) ⟶ (x10 = x11 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x12 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x12 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x12 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x12 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x12 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x12 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x12 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x12 ⟶ ∀ x29 : ο . x29) ⟶ (x9 = x12 ⟶ ∀ x29 : ο . x29) ⟶ (x10 = x12 ⟶ ∀ x29 : ο . x29) ⟶ (x11 = x12 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x13 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x13 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x13 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x13 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x13 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x13 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x13 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x13 ⟶ ∀ x29 : ο . x29) ⟶ (x9 = x13 ⟶ ∀ x29 : ο . x29) ⟶ (x10 = x13 ⟶ ∀ x29 : ο . x29) ⟶ (x11 = x13 ⟶ ∀ x29 : ο . x29) ⟶ (x12 = x13 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x14 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x14 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x14 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x14 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x14 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x14 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x14 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x14 ⟶ ∀ x29 : ο . x29) ⟶ (x9 = x14 ⟶ ∀ x29 : ο . x29) ⟶ (x10 = x14 ⟶ ∀ x29 : ο . x29) ⟶ (x11 = x14 ⟶ ∀ x29 : ο . x29) ⟶ (x12 = x14 ⟶ ∀ x29 : ο . x29) ⟶ (x13 = x14 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x15 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x15 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x15 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x15 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x15 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x15 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x15 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x15 ⟶ ∀ x29 : ο . x29) ⟶ (x9 = x15 ⟶ ∀ x29 : ο . x29) ⟶ (x10 = x15 ⟶ ∀ x29 : ο . x29) ⟶ (x11 = x15 ⟶ ∀ x29 : ο . x29) ⟶ (x12 = x15 ⟶ ∀ x29 : ο . x29) ⟶ (x13 = x15 ⟶ ∀ x29 : ο . x29) ⟶ (x14 = x15 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x16 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x16 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x16 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x16 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x16 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x16 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x16 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x16 ⟶ ∀ x29 : ο . x29) ⟶ (x9 = x16 ⟶ ∀ x29 : ο . x29) ⟶ (x10 = x16 ⟶ ∀ x29 : ο . x29) ⟶ (x11 = x16 ⟶ ∀ x29 : ο . x29) ⟶ (x12 = x16 ⟶ ∀ x29 : ο . x29) ⟶ (x13 = x16 ⟶ ∀ x29 : ο . x29) ⟶ (x14 = x16 ⟶ ∀ x29 : ο . x29) ⟶ (x15 = x16 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x17 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x17 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x17 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x17 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x17 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x17 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x17 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x17 ⟶ ∀ x29 : ο . x29) ⟶ (x9 = x17 ⟶ ∀ x29 : ο . x29) ⟶ (x10 = x17 ⟶ ∀ x29 : ο . x29) ⟶ (x11 = x17 ⟶ ∀ x29 : ο . x29) ⟶ (x12 = x17 ⟶ ∀ x29 : ο . x29) ⟶ (x13 = x17 ⟶ ∀ x29 : ο . x29) ⟶ (x14 = x17 ⟶ ∀ x29 : ο . x29) ⟶ (x15 = x17 ⟶ ∀ x29 : ο . x29) ⟶ (x16 = x17 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x18 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x18 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x18 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x18 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x18 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x18 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x18 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x18 ⟶ ∀ x29 : ο . x29) ⟶ (x9 = x18 ⟶ ∀ x29 : ο . x29) ⟶ (x10 = x18 ⟶ ∀ x29 : ο . x29) ⟶ (x11 = x18 ⟶ ∀ x29 : ο . x29) ⟶ (x12 = x18 ⟶ ∀ x29 : ο . x29) ⟶ (x13 = x18 ⟶ ∀ x29 : ο . x29) ⟶ (x14 = x18 ⟶ ∀ x29 : ο . x29) ⟶ (x15 = x18 ⟶ ∀ x29 : ο . x29) ⟶ (x16 = x18 ⟶ ∀ x29 : ο . x29) ⟶ (x17 = x18 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x19 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x19 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x19 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x19 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x19 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x19 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x19 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x19 ⟶ ∀ x29 : ο . x29) ⟶ (x9 = x19 ⟶ ∀ x29 : ο . x29) ⟶ (x10 = x19 ⟶ ∀ x29 : ο . x29) ⟶ (x11 = x19 ⟶ ∀ x29 : ο . x29) ⟶ (x12 = x19 ⟶ ∀ x29 : ο . x29) ⟶ (x13 = x19 ⟶ ∀ x29 : ο . x29) ⟶ (x14 = x19 ⟶ ∀ x29 : ο . x29) ⟶ (x15 = x19 ⟶ ∀ x29 : ο . x29) ⟶ (x16 = x19 ⟶ ∀ x29 : ο . x29) ⟶ (x17 = x19 ⟶ ∀ x29 : ο . x29) ⟶ (x18 = x19 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x20 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x20 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x20 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x20 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x20 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x20 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x20 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x20 ⟶ ∀ x29 : ο . x29) ⟶ (x9 = x20 ⟶ ∀ x29 : ο . x29) ⟶ (x10 = x20 ⟶ ∀ x29 : ο . x29) ⟶ (x11 = x20 ⟶ ∀ x29 : ο . x29) ⟶ (x12 = x20 ⟶ ∀ x29 : ο . x29) ⟶ (x13 = x20 ⟶ ∀ x29 : ο . x29) ⟶ (x14 = x20 ⟶ ∀ x29 : ο . x29) ⟶ (x15 = x20 ⟶ ∀ x29 : ο . x29) ⟶ (x16 = x20 ⟶ ∀ x29 : ο . x29) ⟶ (x17 = x20 ⟶ ∀ x29 : ο . x29) ⟶ (x18 = x20 ⟶ ∀ x29 : ο . x29) ⟶ (x19 = x20 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x9 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x10 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x11 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x12 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x13 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x14 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x15 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x16 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x17 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x18 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x19 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x20 = x21 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x9 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x10 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x11 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x12 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x13 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x14 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x15 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x16 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x17 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x18 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x19 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x20 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x21 = x22 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x9 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x10 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x11 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x12 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x13 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x14 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x15 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x16 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x17 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x18 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x19 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x20 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x21 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x22 = x23 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x9 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x10 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x11 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x12 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x13 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x14 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x15 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x16 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x17 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x18 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x19 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x20 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x21 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x22 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x23 = x24 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x9 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x10 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x11 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x12 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x13 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x14 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x15 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x16 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x17 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x18 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x19 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x20 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x21 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x22 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x23 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x24 = x25 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x9 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x10 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x11 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x12 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x13 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x14 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x15 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x16 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x17 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x18 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x19 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x20 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x21 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x22 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x23 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x24 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x25 = x26 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x9 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x10 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x11 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x12 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x13 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x14 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x15 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x16 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x17 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x18 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x19 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x20 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x21 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x22 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x23 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x24 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x25 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x26 = x27 ⟶ ∀ x29 : ο . x29) ⟶ (x1 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x2 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x3 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x4 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x5 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x6 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x7 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x8 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x9 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x10 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x11 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x12 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x13 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x14 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x15 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x16 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x17 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x18 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x19 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x20 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x21 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x22 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x23 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x24 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x25 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x26 = x28 ⟶ ∀ x29 : ο . x29) ⟶ (x27 = x28 ⟶ ∀ x29 : ο . x29) ⟶ atleastp u28 x0 (proof)
Definition u29 := ordsucc u28
Theorem 1758f.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ ∀ x20 . x20 ∈ x0 ⟶ ∀ x21 . x21 ∈ x0 ⟶ ∀ x22 . x22 ∈ x0 ⟶ ∀ x23 . x23 ∈ x0 ⟶ ∀ x24 . x24 ∈ x0 ⟶ ∀ x25 . x25 ∈ x0 ⟶ ∀ x26 . x26 ∈ x0 ⟶ ∀ x27 . x27 ∈ x0 ⟶ ∀ x28 . x28 ∈ x0 ⟶ ∀ x29 . x29 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x3 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x3 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x4 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x4 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x4 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x5 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x5 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x5 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x5 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x6 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x6 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x6 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x6 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x6 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x7 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x7 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x7 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x7 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x7 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x7 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x8 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x8 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x8 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x8 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x8 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x8 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x8 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x9 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x9 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x9 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x9 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x9 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x9 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x9 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x9 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x10 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x10 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x10 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x10 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x10 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x10 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x10 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x10 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x10 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x11 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x11 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x11 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x11 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x11 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x11 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x11 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x11 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x11 ⟶ ∀ x30 : ο . x30) ⟶ (x10 = x11 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x12 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x12 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x12 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x12 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x12 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x12 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x12 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x12 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x12 ⟶ ∀ x30 : ο . x30) ⟶ (x10 = x12 ⟶ ∀ x30 : ο . x30) ⟶ (x11 = x12 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x13 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x13 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x13 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x13 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x13 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x13 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x13 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x13 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x13 ⟶ ∀ x30 : ο . x30) ⟶ (x10 = x13 ⟶ ∀ x30 : ο . x30) ⟶ (x11 = x13 ⟶ ∀ x30 : ο . x30) ⟶ (x12 = x13 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x14 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x14 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x14 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x14 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x14 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x14 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x14 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x14 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x14 ⟶ ∀ x30 : ο . x30) ⟶ (x10 = x14 ⟶ ∀ x30 : ο . x30) ⟶ (x11 = x14 ⟶ ∀ x30 : ο . x30) ⟶ (x12 = x14 ⟶ ∀ x30 : ο . x30) ⟶ (x13 = x14 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x15 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x15 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x15 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x15 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x15 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x15 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x15 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x15 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x15 ⟶ ∀ x30 : ο . x30) ⟶ (x10 = x15 ⟶ ∀ x30 : ο . x30) ⟶ (x11 = x15 ⟶ ∀ x30 : ο . x30) ⟶ (x12 = x15 ⟶ ∀ x30 : ο . x30) ⟶ (x13 = x15 ⟶ ∀ x30 : ο . x30) ⟶ (x14 = x15 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x16 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x16 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x16 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x16 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x16 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x16 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x16 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x16 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x16 ⟶ ∀ x30 : ο . x30) ⟶ (x10 = x16 ⟶ ∀ x30 : ο . x30) ⟶ (x11 = x16 ⟶ ∀ x30 : ο . x30) ⟶ (x12 = x16 ⟶ ∀ x30 : ο . x30) ⟶ (x13 = x16 ⟶ ∀ x30 : ο . x30) ⟶ (x14 = x16 ⟶ ∀ x30 : ο . x30) ⟶ (x15 = x16 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x17 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x17 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x17 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x17 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x17 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x17 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x17 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x17 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x17 ⟶ ∀ x30 : ο . x30) ⟶ (x10 = x17 ⟶ ∀ x30 : ο . x30) ⟶ (x11 = x17 ⟶ ∀ x30 : ο . x30) ⟶ (x12 = x17 ⟶ ∀ x30 : ο . x30) ⟶ (x13 = x17 ⟶ ∀ x30 : ο . x30) ⟶ (x14 = x17 ⟶ ∀ x30 : ο . x30) ⟶ (x15 = x17 ⟶ ∀ x30 : ο . x30) ⟶ (x16 = x17 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x18 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x18 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x18 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x18 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x18 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x18 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x18 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x18 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x18 ⟶ ∀ x30 : ο . x30) ⟶ (x10 = x18 ⟶ ∀ x30 : ο . x30) ⟶ (x11 = x18 ⟶ ∀ x30 : ο . x30) ⟶ (x12 = x18 ⟶ ∀ x30 : ο . x30) ⟶ (x13 = x18 ⟶ ∀ x30 : ο . x30) ⟶ (x14 = x18 ⟶ ∀ x30 : ο . x30) ⟶ (x15 = x18 ⟶ ∀ x30 : ο . x30) ⟶ (x16 = x18 ⟶ ∀ x30 : ο . x30) ⟶ (x17 = x18 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x19 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x19 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x19 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x19 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x19 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x19 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x19 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x19 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x19 ⟶ ∀ x30 : ο . x30) ⟶ (x10 = x19 ⟶ ∀ x30 : ο . x30) ⟶ (x11 = x19 ⟶ ∀ x30 : ο . x30) ⟶ (x12 = x19 ⟶ ∀ x30 : ο . x30) ⟶ (x13 = x19 ⟶ ∀ x30 : ο . x30) ⟶ (x14 = x19 ⟶ ∀ x30 : ο . x30) ⟶ (x15 = x19 ⟶ ∀ x30 : ο . x30) ⟶ (x16 = x19 ⟶ ∀ x30 : ο . x30) ⟶ (x17 = x19 ⟶ ∀ x30 : ο . x30) ⟶ (x18 = x19 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x20 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x20 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x20 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x20 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x20 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x20 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x20 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x20 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x20 ⟶ ∀ x30 : ο . x30) ⟶ (x10 = x20 ⟶ ∀ x30 : ο . x30) ⟶ (x11 = x20 ⟶ ∀ x30 : ο . x30) ⟶ (x12 = x20 ⟶ ∀ x30 : ο . x30) ⟶ (x13 = x20 ⟶ ∀ x30 : ο . x30) ⟶ (x14 = x20 ⟶ ∀ x30 : ο . x30) ⟶ (x15 = x20 ⟶ ∀ x30 : ο . x30) ⟶ (x16 = x20 ⟶ ∀ x30 : ο . x30) ⟶ (x17 = x20 ⟶ ∀ x30 : ο . x30) ⟶ (x18 = x20 ⟶ ∀ x30 : ο . x30) ⟶ (x19 = x20 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x10 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x11 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x12 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x13 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x14 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x15 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x16 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x17 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x18 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x19 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x20 = x21 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x10 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x11 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x12 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x13 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x14 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x15 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x16 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x17 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x18 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x19 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x20 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x21 = x22 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x10 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x11 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x12 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x13 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x14 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x15 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x16 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x17 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x18 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x19 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x20 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x21 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x22 = x23 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x10 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x11 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x12 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x13 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x14 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x15 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x16 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x17 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x18 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x19 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x20 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x21 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x22 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x23 = x24 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x10 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x11 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x12 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x13 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x14 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x15 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x16 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x17 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x18 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x19 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x20 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x21 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x22 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x23 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x24 = x25 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x10 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x11 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x12 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x13 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x14 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x15 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x16 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x17 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x18 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x19 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x20 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x21 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x22 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x23 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x24 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x25 = x26 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x10 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x11 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x12 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x13 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x14 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x15 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x16 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x17 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x18 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x19 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x20 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x21 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x22 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x23 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x24 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x25 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x26 = x27 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x10 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x11 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x12 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x13 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x14 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x15 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x16 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x17 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x18 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x19 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x20 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x21 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x22 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x23 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x24 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x25 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x26 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x27 = x28 ⟶ ∀ x30 : ο . x30) ⟶ (x1 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x2 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x3 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x4 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x5 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x6 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x7 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x8 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x9 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x10 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x11 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x12 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x13 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x14 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x15 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x16 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x17 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x18 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x19 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x20 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x21 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x22 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x23 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x24 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x25 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x26 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x27 = x29 ⟶ ∀ x30 : ο . x30) ⟶ (x28 = x29 ⟶ ∀ x30 : ο . x30) ⟶ atleastp u29 x0 (proof)
Definition u30 := ordsucc u29
Theorem ec6bb.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ ∀ x20 . x20 ∈ x0 ⟶ ∀ x21 . x21 ∈ x0 ⟶ ∀ x22 . x22 ∈ x0 ⟶ ∀ x23 . x23 ∈ x0 ⟶ ∀ x24 . x24 ∈ x0 ⟶ ∀ x25 . x25 ∈ x0 ⟶ ∀ x26 . x26 ∈ x0 ⟶ ∀ x27 . x27 ∈ x0 ⟶ ∀ x28 . x28 ∈ x0 ⟶ ∀ x29 . x29 ∈ x0 ⟶ ∀ x30 . x30 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x3 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x3 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x4 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x4 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x4 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x5 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x5 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x5 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x5 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x6 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x6 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x6 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x6 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x6 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x7 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x7 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x7 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x7 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x7 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x7 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x8 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x8 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x8 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x8 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x8 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x8 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x8 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x9 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x9 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x9 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x9 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x9 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x9 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x9 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x9 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x10 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x10 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x10 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x10 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x10 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x10 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x10 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x10 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x10 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x11 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x11 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x11 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x11 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x11 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x11 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x11 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x11 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x11 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x11 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x12 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x12 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x12 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x12 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x12 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x12 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x12 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x12 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x12 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x12 ⟶ ∀ x31 : ο . x31) ⟶ (x11 = x12 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x13 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x13 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x13 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x13 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x13 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x13 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x13 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x13 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x13 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x13 ⟶ ∀ x31 : ο . x31) ⟶ (x11 = x13 ⟶ ∀ x31 : ο . x31) ⟶ (x12 = x13 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x14 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x14 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x14 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x14 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x14 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x14 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x14 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x14 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x14 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x14 ⟶ ∀ x31 : ο . x31) ⟶ (x11 = x14 ⟶ ∀ x31 : ο . x31) ⟶ (x12 = x14 ⟶ ∀ x31 : ο . x31) ⟶ (x13 = x14 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x15 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x15 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x15 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x15 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x15 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x15 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x15 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x15 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x15 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x15 ⟶ ∀ x31 : ο . x31) ⟶ (x11 = x15 ⟶ ∀ x31 : ο . x31) ⟶ (x12 = x15 ⟶ ∀ x31 : ο . x31) ⟶ (x13 = x15 ⟶ ∀ x31 : ο . x31) ⟶ (x14 = x15 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x16 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x16 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x16 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x16 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x16 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x16 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x16 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x16 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x16 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x16 ⟶ ∀ x31 : ο . x31) ⟶ (x11 = x16 ⟶ ∀ x31 : ο . x31) ⟶ (x12 = x16 ⟶ ∀ x31 : ο . x31) ⟶ (x13 = x16 ⟶ ∀ x31 : ο . x31) ⟶ (x14 = x16 ⟶ ∀ x31 : ο . x31) ⟶ (x15 = x16 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x17 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x17 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x17 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x17 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x17 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x17 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x17 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x17 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x17 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x17 ⟶ ∀ x31 : ο . x31) ⟶ (x11 = x17 ⟶ ∀ x31 : ο . x31) ⟶ (x12 = x17 ⟶ ∀ x31 : ο . x31) ⟶ (x13 = x17 ⟶ ∀ x31 : ο . x31) ⟶ (x14 = x17 ⟶ ∀ x31 : ο . x31) ⟶ (x15 = x17 ⟶ ∀ x31 : ο . x31) ⟶ (x16 = x17 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x18 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x18 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x18 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x18 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x18 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x18 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x18 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x18 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x18 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x18 ⟶ ∀ x31 : ο . x31) ⟶ (x11 = x18 ⟶ ∀ x31 : ο . x31) ⟶ (x12 = x18 ⟶ ∀ x31 : ο . x31) ⟶ (x13 = x18 ⟶ ∀ x31 : ο . x31) ⟶ (x14 = x18 ⟶ ∀ x31 : ο . x31) ⟶ (x15 = x18 ⟶ ∀ x31 : ο . x31) ⟶ (x16 = x18 ⟶ ∀ x31 : ο . x31) ⟶ (x17 = x18 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x19 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x19 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x19 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x19 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x19 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x19 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x19 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x19 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x19 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x19 ⟶ ∀ x31 : ο . x31) ⟶ (x11 = x19 ⟶ ∀ x31 : ο . x31) ⟶ (x12 = x19 ⟶ ∀ x31 : ο . x31) ⟶ (x13 = x19 ⟶ ∀ x31 : ο . x31) ⟶ (x14 = x19 ⟶ ∀ x31 : ο . x31) ⟶ (x15 = x19 ⟶ ∀ x31 : ο . x31) ⟶ (x16 = x19 ⟶ ∀ x31 : ο . x31) ⟶ (x17 = x19 ⟶ ∀ x31 : ο . x31) ⟶ (x18 = x19 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x20 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x20 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x20 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x20 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x20 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x20 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x20 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x20 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x20 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x20 ⟶ ∀ x31 : ο . x31) ⟶ (x11 = x20 ⟶ ∀ x31 : ο . x31) ⟶ (x12 = x20 ⟶ ∀ x31 : ο . x31) ⟶ (x13 = x20 ⟶ ∀ x31 : ο . x31) ⟶ (x14 = x20 ⟶ ∀ x31 : ο . x31) ⟶ (x15 = x20 ⟶ ∀ x31 : ο . x31) ⟶ (x16 = x20 ⟶ ∀ x31 : ο . x31) ⟶ (x17 = x20 ⟶ ∀ x31 : ο . x31) ⟶ (x18 = x20 ⟶ ∀ x31 : ο . x31) ⟶ (x19 = x20 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x11 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x12 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x13 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x14 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x15 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x16 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x17 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x18 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x19 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x20 = x21 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x11 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x12 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x13 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x14 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x15 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x16 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x17 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x18 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x19 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x20 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x21 = x22 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x11 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x12 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x13 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x14 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x15 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x16 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x17 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x18 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x19 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x20 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x21 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x22 = x23 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x11 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x12 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x13 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x14 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x15 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x16 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x17 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x18 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x19 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x20 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x21 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x22 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x23 = x24 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x11 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x12 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x13 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x14 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x15 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x16 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x17 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x18 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x19 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x20 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x21 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x22 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x23 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x24 = x25 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x11 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x12 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x13 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x14 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x15 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x16 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x17 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x18 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x19 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x20 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x21 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x22 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x23 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x24 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x25 = x26 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x11 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x12 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x13 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x14 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x15 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x16 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x17 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x18 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x19 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x20 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x21 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x22 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x23 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x24 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x25 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x26 = x27 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x11 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x12 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x13 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x14 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x15 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x16 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x17 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x18 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x19 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x20 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x21 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x22 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x23 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x24 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x25 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x26 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x27 = x28 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x11 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x12 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x13 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x14 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x15 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x16 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x17 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x18 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x19 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x20 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x21 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x22 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x23 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x24 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x25 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x26 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x27 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x28 = x29 ⟶ ∀ x31 : ο . x31) ⟶ (x1 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x2 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x3 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x4 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x5 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x6 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x7 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x8 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x9 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x10 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x11 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x12 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x13 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x14 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x15 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x16 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x17 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x18 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x19 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x20 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x21 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x22 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x23 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x24 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x25 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x26 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x27 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x28 = x30 ⟶ ∀ x31 : ο . x31) ⟶ (x29 = x30 ⟶ ∀ x31 : ο . x31) ⟶ atleastp u30 x0 (proof)
Definition u31 := ordsucc u30
Theorem 1fc45.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ ∀ x20 . x20 ∈ x0 ⟶ ∀ x21 . x21 ∈ x0 ⟶ ∀ x22 . x22 ∈ x0 ⟶ ∀ x23 . x23 ∈ x0 ⟶ ∀ x24 . x24 ∈ x0 ⟶ ∀ x25 . x25 ∈ x0 ⟶ ∀ x26 . x26 ∈ x0 ⟶ ∀ x27 . x27 ∈ x0 ⟶ ∀ x28 . x28 ∈ x0 ⟶ ∀ x29 . x29 ∈ x0 ⟶ ∀ x30 . x30 ∈ x0 ⟶ ∀ x31 . x31 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x3 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x3 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x4 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x4 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x4 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x5 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x5 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x5 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x5 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x6 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x6 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x6 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x6 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x6 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x7 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x7 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x7 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x7 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x7 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x7 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x8 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x8 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x8 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x8 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x8 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x8 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x8 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x9 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x9 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x9 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x9 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x9 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x9 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x9 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x9 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x10 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x10 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x10 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x10 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x10 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x10 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x10 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x10 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x10 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x11 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x11 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x11 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x11 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x11 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x11 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x11 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x11 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x11 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x11 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x12 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x12 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x12 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x12 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x12 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x12 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x12 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x12 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x12 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x12 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x12 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x13 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x13 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x13 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x13 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x13 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x13 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x13 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x13 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x13 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x13 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x13 ⟶ ∀ x32 : ο . x32) ⟶ (x12 = x13 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x14 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x14 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x14 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x14 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x14 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x14 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x14 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x14 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x14 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x14 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x14 ⟶ ∀ x32 : ο . x32) ⟶ (x12 = x14 ⟶ ∀ x32 : ο . x32) ⟶ (x13 = x14 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x15 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x15 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x15 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x15 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x15 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x15 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x15 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x15 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x15 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x15 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x15 ⟶ ∀ x32 : ο . x32) ⟶ (x12 = x15 ⟶ ∀ x32 : ο . x32) ⟶ (x13 = x15 ⟶ ∀ x32 : ο . x32) ⟶ (x14 = x15 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x16 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x16 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x16 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x16 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x16 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x16 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x16 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x16 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x16 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x16 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x16 ⟶ ∀ x32 : ο . x32) ⟶ (x12 = x16 ⟶ ∀ x32 : ο . x32) ⟶ (x13 = x16 ⟶ ∀ x32 : ο . x32) ⟶ (x14 = x16 ⟶ ∀ x32 : ο . x32) ⟶ (x15 = x16 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x17 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x17 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x17 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x17 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x17 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x17 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x17 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x17 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x17 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x17 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x17 ⟶ ∀ x32 : ο . x32) ⟶ (x12 = x17 ⟶ ∀ x32 : ο . x32) ⟶ (x13 = x17 ⟶ ∀ x32 : ο . x32) ⟶ (x14 = x17 ⟶ ∀ x32 : ο . x32) ⟶ (x15 = x17 ⟶ ∀ x32 : ο . x32) ⟶ (x16 = x17 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x18 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x18 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x18 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x18 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x18 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x18 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x18 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x18 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x18 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x18 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x18 ⟶ ∀ x32 : ο . x32) ⟶ (x12 = x18 ⟶ ∀ x32 : ο . x32) ⟶ (x13 = x18 ⟶ ∀ x32 : ο . x32) ⟶ (x14 = x18 ⟶ ∀ x32 : ο . x32) ⟶ (x15 = x18 ⟶ ∀ x32 : ο . x32) ⟶ (x16 = x18 ⟶ ∀ x32 : ο . x32) ⟶ (x17 = x18 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x19 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x19 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x19 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x19 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x19 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x19 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x19 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x19 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x19 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x19 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x19 ⟶ ∀ x32 : ο . x32) ⟶ (x12 = x19 ⟶ ∀ x32 : ο . x32) ⟶ (x13 = x19 ⟶ ∀ x32 : ο . x32) ⟶ (x14 = x19 ⟶ ∀ x32 : ο . x32) ⟶ (x15 = x19 ⟶ ∀ x32 : ο . x32) ⟶ (x16 = x19 ⟶ ∀ x32 : ο . x32) ⟶ (x17 = x19 ⟶ ∀ x32 : ο . x32) ⟶ (x18 = x19 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x20 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x20 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x20 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x20 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x20 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x20 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x20 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x20 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x20 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x20 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x20 ⟶ ∀ x32 : ο . x32) ⟶ (x12 = x20 ⟶ ∀ x32 : ο . x32) ⟶ (x13 = x20 ⟶ ∀ x32 : ο . x32) ⟶ (x14 = x20 ⟶ ∀ x32 : ο . x32) ⟶ (x15 = x20 ⟶ ∀ x32 : ο . x32) ⟶ (x16 = x20 ⟶ ∀ x32 : ο . x32) ⟶ (x17 = x20 ⟶ ∀ x32 : ο . x32) ⟶ (x18 = x20 ⟶ ∀ x32 : ο . x32) ⟶ (x19 = x20 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x12 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x13 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x14 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x15 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x16 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x17 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x18 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x19 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x20 = x21 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x12 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x13 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x14 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x15 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x16 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x17 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x18 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x19 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x20 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x21 = x22 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x12 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x13 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x14 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x15 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x16 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x17 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x18 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x19 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x20 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x21 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x22 = x23 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x12 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x13 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x14 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x15 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x16 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x17 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x18 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x19 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x20 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x21 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x22 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x23 = x24 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x12 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x13 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x14 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x15 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x16 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x17 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x18 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x19 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x20 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x21 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x22 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x23 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x24 = x25 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x12 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x13 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x14 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x15 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x16 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x17 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x18 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x19 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x20 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x21 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x22 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x23 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x24 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x25 = x26 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x12 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x13 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x14 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x15 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x16 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x17 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x18 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x19 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x20 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x21 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x22 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x23 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x24 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x25 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x26 = x27 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x12 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x13 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x14 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x15 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x16 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x17 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x18 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x19 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x20 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x21 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x22 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x23 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x24 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x25 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x26 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x27 = x28 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x12 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x13 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x14 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x15 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x16 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x17 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x18 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x19 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x20 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x21 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x22 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x23 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x24 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x25 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x26 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x27 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x28 = x29 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x12 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x13 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x14 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x15 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x16 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x17 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x18 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x19 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x20 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x21 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x22 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x23 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x24 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x25 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x26 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x27 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x28 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x29 = x30 ⟶ ∀ x32 : ο . x32) ⟶ (x1 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x2 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x3 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x4 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x5 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x6 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x7 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x8 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x9 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x10 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x11 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x12 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x13 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x14 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x15 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x16 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x17 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x18 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x19 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x20 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x21 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x22 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x23 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x24 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x25 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x26 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x27 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x28 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x29 = x31 ⟶ ∀ x32 : ο . x32) ⟶ (x30 = x31 ⟶ ∀ x32 : ο . x32) ⟶ atleastp u31 x0 (proof)
Definition u32 := ordsucc u31
Theorem 3c32a.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ ∀ x20 . x20 ∈ x0 ⟶ ∀ x21 . x21 ∈ x0 ⟶ ∀ x22 . x22 ∈ x0 ⟶ ∀ x23 . x23 ∈ x0 ⟶ ∀ x24 . x24 ∈ x0 ⟶ ∀ x25 . x25 ∈ x0 ⟶ ∀ x26 . x26 ∈ x0 ⟶ ∀ x27 . x27 ∈ x0 ⟶ ∀ x28 . x28 ∈ x0 ⟶ ∀ x29 . x29 ∈ x0 ⟶ ∀ x30 . x30 ∈ x0 ⟶ ∀ x31 . x31 ∈ x0 ⟶ ∀ x32 . x32 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x3 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x3 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x4 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x4 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x4 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x5 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x5 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x5 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x5 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x6 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x6 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x6 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x6 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x6 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x7 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x7 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x7 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x7 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x7 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x7 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x8 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x8 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x8 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x8 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x8 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x8 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x8 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x9 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x9 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x9 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x9 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x9 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x9 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x9 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x9 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x10 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x10 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x10 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x10 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x10 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x10 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x10 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x10 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x10 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x11 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x11 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x11 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x11 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x11 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x11 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x11 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x11 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x11 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x11 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x12 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x12 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x12 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x12 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x12 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x12 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x12 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x12 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x12 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x12 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x12 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x13 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x13 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x13 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x13 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x13 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x13 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x13 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x13 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x13 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x13 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x13 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x13 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x14 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x14 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x14 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x14 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x14 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x14 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x14 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x14 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x14 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x14 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x14 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x14 ⟶ ∀ x33 : ο . x33) ⟶ (x13 = x14 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x15 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x15 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x15 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x15 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x15 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x15 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x15 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x15 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x15 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x15 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x15 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x15 ⟶ ∀ x33 : ο . x33) ⟶ (x13 = x15 ⟶ ∀ x33 : ο . x33) ⟶ (x14 = x15 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x16 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x16 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x16 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x16 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x16 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x16 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x16 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x16 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x16 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x16 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x16 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x16 ⟶ ∀ x33 : ο . x33) ⟶ (x13 = x16 ⟶ ∀ x33 : ο . x33) ⟶ (x14 = x16 ⟶ ∀ x33 : ο . x33) ⟶ (x15 = x16 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x17 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x17 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x17 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x17 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x17 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x17 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x17 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x17 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x17 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x17 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x17 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x17 ⟶ ∀ x33 : ο . x33) ⟶ (x13 = x17 ⟶ ∀ x33 : ο . x33) ⟶ (x14 = x17 ⟶ ∀ x33 : ο . x33) ⟶ (x15 = x17 ⟶ ∀ x33 : ο . x33) ⟶ (x16 = x17 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x18 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x18 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x18 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x18 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x18 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x18 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x18 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x18 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x18 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x18 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x18 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x18 ⟶ ∀ x33 : ο . x33) ⟶ (x13 = x18 ⟶ ∀ x33 : ο . x33) ⟶ (x14 = x18 ⟶ ∀ x33 : ο . x33) ⟶ (x15 = x18 ⟶ ∀ x33 : ο . x33) ⟶ (x16 = x18 ⟶ ∀ x33 : ο . x33) ⟶ (x17 = x18 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x19 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x19 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x19 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x19 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x19 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x19 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x19 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x19 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x19 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x19 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x19 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x19 ⟶ ∀ x33 : ο . x33) ⟶ (x13 = x19 ⟶ ∀ x33 : ο . x33) ⟶ (x14 = x19 ⟶ ∀ x33 : ο . x33) ⟶ (x15 = x19 ⟶ ∀ x33 : ο . x33) ⟶ (x16 = x19 ⟶ ∀ x33 : ο . x33) ⟶ (x17 = x19 ⟶ ∀ x33 : ο . x33) ⟶ (x18 = x19 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x20 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x20 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x20 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x20 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x20 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x20 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x20 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x20 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x20 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x20 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x20 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x20 ⟶ ∀ x33 : ο . x33) ⟶ (x13 = x20 ⟶ ∀ x33 : ο . x33) ⟶ (x14 = x20 ⟶ ∀ x33 : ο . x33) ⟶ (x15 = x20 ⟶ ∀ x33 : ο . x33) ⟶ (x16 = x20 ⟶ ∀ x33 : ο . x33) ⟶ (x17 = x20 ⟶ ∀ x33 : ο . x33) ⟶ (x18 = x20 ⟶ ∀ x33 : ο . x33) ⟶ (x19 = x20 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x13 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x14 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x15 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x16 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x17 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x18 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x19 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x20 = x21 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x13 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x14 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x15 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x16 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x17 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x18 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x19 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x20 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x21 = x22 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x13 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x14 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x15 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x16 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x17 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x18 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x19 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x20 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x21 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x22 = x23 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x13 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x14 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x15 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x16 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x17 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x18 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x19 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x20 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x21 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x22 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x23 = x24 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x13 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x14 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x15 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x16 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x17 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x18 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x19 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x20 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x21 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x22 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x23 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x24 = x25 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x13 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x14 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x15 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x16 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x17 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x18 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x19 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x20 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x21 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x22 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x23 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x24 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x25 = x26 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x13 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x14 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x15 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x16 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x17 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x18 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x19 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x20 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x21 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x22 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x23 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x24 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x25 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x26 = x27 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x13 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x14 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x15 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x16 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x17 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x18 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x19 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x20 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x21 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x22 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x23 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x24 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x25 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x26 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x27 = x28 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x13 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x14 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x15 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x16 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x17 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x18 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x19 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x20 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x21 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x22 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x23 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x24 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x25 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x26 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x27 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x28 = x29 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x13 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x14 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x15 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x16 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x17 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x18 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x19 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x20 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x21 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x22 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x23 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x24 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x25 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x26 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x27 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x28 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x29 = x30 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x13 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x14 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x15 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x16 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x17 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x18 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x19 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x20 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x21 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x22 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x23 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x24 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x25 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x26 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x27 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x28 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x29 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x30 = x31 ⟶ ∀ x33 : ο . x33) ⟶ (x1 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x2 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x3 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x4 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x5 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x6 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x7 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x8 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x9 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x10 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x11 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x12 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x13 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x14 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x15 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x16 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x17 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x18 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x19 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x20 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x21 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x22 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x23 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x24 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x25 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x26 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x27 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x28 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x29 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x30 = x32 ⟶ ∀ x33 : ο . x33) ⟶ (x31 = x32 ⟶ ∀ x33 : ο . x33) ⟶ atleastp u32 x0 (proof)
Definition u33 := ordsucc u32
Theorem cebd4.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ ∀ x20 . x20 ∈ x0 ⟶ ∀ x21 . x21 ∈ x0 ⟶ ∀ x22 . x22 ∈ x0 ⟶ ∀ x23 . x23 ∈ x0 ⟶ ∀ x24 . x24 ∈ x0 ⟶ ∀ x25 . x25 ∈ x0 ⟶ ∀ x26 . x26 ∈ x0 ⟶ ∀ x27 . x27 ∈ x0 ⟶ ∀ x28 . x28 ∈ x0 ⟶ ∀ x29 . x29 ∈ x0 ⟶ ∀ x30 . x30 ∈ x0 ⟶ ∀ x31 . x31 ∈ x0 ⟶ ∀ x32 . x32 ∈ x0 ⟶ ∀ x33 . x33 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x3 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x3 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x4 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x4 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x4 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x5 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x5 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x5 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x5 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x6 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x6 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x6 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x6 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x6 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x7 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x7 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x7 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x7 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x7 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x7 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x8 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x8 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x8 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x8 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x8 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x8 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x8 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x9 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x9 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x9 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x9 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x9 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x9 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x9 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x9 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x10 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x10 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x10 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x10 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x10 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x10 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x10 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x10 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x10 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x11 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x11 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x11 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x11 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x11 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x11 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x11 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x11 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x11 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x11 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x12 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x12 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x12 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x12 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x12 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x12 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x12 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x12 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x12 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x12 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x12 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x13 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x13 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x13 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x13 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x13 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x13 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x13 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x13 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x13 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x13 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x13 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x13 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x14 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x14 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x14 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x14 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x14 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x14 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x14 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x14 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x14 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x14 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x14 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x14 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x14 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x15 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x15 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x15 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x15 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x15 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x15 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x15 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x15 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x15 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x15 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x15 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x15 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x15 ⟶ ∀ x34 : ο . x34) ⟶ (x14 = x15 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x16 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x16 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x16 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x16 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x16 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x16 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x16 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x16 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x16 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x16 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x16 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x16 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x16 ⟶ ∀ x34 : ο . x34) ⟶ (x14 = x16 ⟶ ∀ x34 : ο . x34) ⟶ (x15 = x16 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x17 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x17 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x17 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x17 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x17 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x17 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x17 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x17 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x17 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x17 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x17 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x17 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x17 ⟶ ∀ x34 : ο . x34) ⟶ (x14 = x17 ⟶ ∀ x34 : ο . x34) ⟶ (x15 = x17 ⟶ ∀ x34 : ο . x34) ⟶ (x16 = x17 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x18 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x18 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x18 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x18 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x18 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x18 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x18 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x18 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x18 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x18 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x18 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x18 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x18 ⟶ ∀ x34 : ο . x34) ⟶ (x14 = x18 ⟶ ∀ x34 : ο . x34) ⟶ (x15 = x18 ⟶ ∀ x34 : ο . x34) ⟶ (x16 = x18 ⟶ ∀ x34 : ο . x34) ⟶ (x17 = x18 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x19 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x19 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x19 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x19 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x19 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x19 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x19 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x19 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x19 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x19 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x19 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x19 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x19 ⟶ ∀ x34 : ο . x34) ⟶ (x14 = x19 ⟶ ∀ x34 : ο . x34) ⟶ (x15 = x19 ⟶ ∀ x34 : ο . x34) ⟶ (x16 = x19 ⟶ ∀ x34 : ο . x34) ⟶ (x17 = x19 ⟶ ∀ x34 : ο . x34) ⟶ (x18 = x19 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x20 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x20 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x20 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x20 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x20 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x20 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x20 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x20 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x20 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x20 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x20 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x20 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x20 ⟶ ∀ x34 : ο . x34) ⟶ (x14 = x20 ⟶ ∀ x34 : ο . x34) ⟶ (x15 = x20 ⟶ ∀ x34 : ο . x34) ⟶ (x16 = x20 ⟶ ∀ x34 : ο . x34) ⟶ (x17 = x20 ⟶ ∀ x34 : ο . x34) ⟶ (x18 = x20 ⟶ ∀ x34 : ο . x34) ⟶ (x19 = x20 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x14 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x15 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x16 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x17 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x18 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x19 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x20 = x21 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x14 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x15 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x16 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x17 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x18 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x19 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x20 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x21 = x22 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x14 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x15 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x16 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x17 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x18 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x19 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x20 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x21 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x22 = x23 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x14 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x15 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x16 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x17 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x18 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x19 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x20 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x21 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x22 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x23 = x24 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x14 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x15 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x16 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x17 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x18 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x19 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x20 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x21 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x22 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x23 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x24 = x25 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x14 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x15 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x16 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x17 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x18 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x19 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x20 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x21 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x22 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x23 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x24 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x25 = x26 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x14 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x15 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x16 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x17 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x18 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x19 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x20 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x21 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x22 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x23 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x24 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x25 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x26 = x27 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x14 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x15 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x16 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x17 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x18 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x19 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x20 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x21 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x22 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x23 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x24 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x25 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x26 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x27 = x28 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x14 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x15 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x16 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x17 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x18 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x19 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x20 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x21 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x22 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x23 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x24 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x25 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x26 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x27 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x28 = x29 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x14 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x15 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x16 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x17 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x18 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x19 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x20 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x21 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x22 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x23 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x24 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x25 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x26 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x27 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x28 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x29 = x30 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x14 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x15 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x16 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x17 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x18 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x19 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x20 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x21 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x22 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x23 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x24 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x25 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x26 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x27 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x28 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x29 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x30 = x31 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x14 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x15 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x16 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x17 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x18 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x19 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x20 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x21 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x22 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x23 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x24 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x25 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x26 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x27 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x28 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x29 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x30 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x31 = x32 ⟶ ∀ x34 : ο . x34) ⟶ (x1 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x2 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x3 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x4 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x5 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x6 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x7 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x8 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x9 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x10 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x11 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x12 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x13 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x14 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x15 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x16 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x17 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x18 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x19 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x20 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x21 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x22 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x23 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x24 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x25 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x26 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x27 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x28 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x29 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x30 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x31 = x33 ⟶ ∀ x34 : ο . x34) ⟶ (x32 = x33 ⟶ ∀ x34 : ο . x34) ⟶ atleastp u33 x0 (proof)
Definition u34 := ordsucc u33
Theorem 5e841.. : ∀ x0 x1 . x1 ∈ x0 ⟶ ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ x0 ⟶ ∀ x9 . x9 ∈ x0 ⟶ ∀ x10 . x10 ∈ x0 ⟶ ∀ x11 . x11 ∈ x0 ⟶ ∀ x12 . x12 ∈ x0 ⟶ ∀ x13 . x13 ∈ x0 ⟶ ∀ x14 . x14 ∈ x0 ⟶ ∀ x15 . x15 ∈ x0 ⟶ ∀ x16 . x16 ∈ x0 ⟶ ∀ x17 . x17 ∈ x0 ⟶ ∀ x18 . x18 ∈ x0 ⟶ ∀ x19 . x19 ∈ x0 ⟶ ∀ x20 . x20 ∈ x0 ⟶ ∀ x21 . x21 ∈ x0 ⟶ ∀ x22 . x22 ∈ x0 ⟶ ∀ x23 . x23 ∈ x0 ⟶ ∀ x24 . x24 ∈ x0 ⟶ ∀ x25 . x25 ∈ x0 ⟶ ∀ x26 . x26 ∈ x0 ⟶ ∀ x27 . x27 ∈ x0 ⟶ ∀ x28 . x28 ∈ x0 ⟶ ∀ x29 . x29 ∈ x0 ⟶ ∀ x30 . x30 ∈ x0 ⟶ ∀ x31 . x31 ∈ x0 ⟶ ∀ x32 . x32 ∈ x0 ⟶ ∀ x33 . x33 ∈ x0 ⟶ ∀ x34 . x34 ∈ x0 ⟶ (x1 = x2 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x3 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x3 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x4 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x4 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x4 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x5 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x5 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x5 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x5 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x6 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x6 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x6 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x6 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x6 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x7 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x7 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x7 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x7 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x7 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x7 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x8 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x8 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x8 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x8 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x8 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x8 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x8 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x9 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x9 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x9 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x9 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x9 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x9 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x9 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x9 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x10 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x10 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x10 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x10 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x10 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x10 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x10 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x10 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x10 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x11 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x11 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x11 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x11 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x11 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x11 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x11 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x11 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x11 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x11 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x12 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x12 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x12 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x12 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x12 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x12 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x12 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x12 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x12 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x12 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x12 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x13 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x13 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x13 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x13 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x13 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x13 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x13 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x13 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x13 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x13 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x13 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x13 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x14 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x14 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x14 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x14 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x14 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x14 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x14 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x14 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x14 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x14 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x14 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x14 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x14 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x15 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x15 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x15 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x15 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x15 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x15 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x15 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x15 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x15 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x15 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x15 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x15 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x15 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x15 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x16 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x16 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x16 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x16 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x16 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x16 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x16 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x16 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x16 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x16 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x16 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x16 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x16 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x16 ⟶ ∀ x35 : ο . x35) ⟶ (x15 = x16 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x17 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x17 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x17 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x17 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x17 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x17 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x17 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x17 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x17 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x17 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x17 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x17 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x17 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x17 ⟶ ∀ x35 : ο . x35) ⟶ (x15 = x17 ⟶ ∀ x35 : ο . x35) ⟶ (x16 = x17 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x18 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x18 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x18 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x18 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x18 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x18 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x18 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x18 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x18 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x18 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x18 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x18 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x18 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x18 ⟶ ∀ x35 : ο . x35) ⟶ (x15 = x18 ⟶ ∀ x35 : ο . x35) ⟶ (x16 = x18 ⟶ ∀ x35 : ο . x35) ⟶ (x17 = x18 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x19 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x19 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x19 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x19 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x19 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x19 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x19 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x19 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x19 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x19 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x19 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x19 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x19 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x19 ⟶ ∀ x35 : ο . x35) ⟶ (x15 = x19 ⟶ ∀ x35 : ο . x35) ⟶ (x16 = x19 ⟶ ∀ x35 : ο . x35) ⟶ (x17 = x19 ⟶ ∀ x35 : ο . x35) ⟶ (x18 = x19 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x20 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x20 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x20 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x20 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x20 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x20 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x20 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x20 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x20 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x20 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x20 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x20 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x20 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x20 ⟶ ∀ x35 : ο . x35) ⟶ (x15 = x20 ⟶ ∀ x35 : ο . x35) ⟶ (x16 = x20 ⟶ ∀ x35 : ο . x35) ⟶ (x17 = x20 ⟶ ∀ x35 : ο . x35) ⟶ (x18 = x20 ⟶ ∀ x35 : ο . x35) ⟶ (x19 = x20 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x15 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x16 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x17 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x18 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x19 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x20 = x21 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x15 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x16 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x17 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x18 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x19 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x20 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x21 = x22 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x15 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x16 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x17 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x18 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x19 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x20 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x21 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x22 = x23 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x15 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x16 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x17 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x18 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x19 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x20 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x21 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x22 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x23 = x24 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x15 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x16 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x17 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x18 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x19 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x20 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x21 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x22 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x23 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x24 = x25 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x15 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x16 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x17 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x18 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x19 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x20 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x21 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x22 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x23 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x24 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x25 = x26 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x15 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x16 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x17 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x18 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x19 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x20 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x21 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x22 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x23 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x24 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x25 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x26 = x27 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x15 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x16 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x17 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x18 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x19 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x20 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x21 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x22 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x23 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x24 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x25 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x26 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x27 = x28 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x15 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x16 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x17 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x18 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x19 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x20 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x21 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x22 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x23 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x24 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x25 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x26 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x27 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x28 = x29 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x15 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x16 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x17 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x18 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x19 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x20 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x21 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x22 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x23 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x24 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x25 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x26 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x27 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x28 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x29 = x30 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x15 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x16 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x17 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x18 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x19 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x20 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x21 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x22 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x23 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x24 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x25 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x26 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x27 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x28 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x29 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x30 = x31 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x15 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x16 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x17 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x18 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x19 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x20 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x21 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x22 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x23 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x24 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x25 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x26 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x27 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x28 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x29 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x30 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x31 = x32 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x15 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x16 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x17 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x18 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x19 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x20 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x21 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x22 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x23 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x24 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x25 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x26 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x27 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x28 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x29 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x30 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x31 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x32 = x33 ⟶ ∀ x35 : ο . x35) ⟶ (x1 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x2 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x3 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x4 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x5 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x6 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x7 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x8 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x9 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x10 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x11 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x12 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x13 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x14 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x15 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x16 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x17 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x18 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x19 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x20 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x21 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x22 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x23 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x24 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x25 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x26 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x27 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x28 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x29 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x30 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x31 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x32 = x34 ⟶ ∀ x35 : ο . x35) ⟶ (x33 = x34 ⟶ ∀ x35 : ο . x35) ⟶ atleastp u34 x0 (proof)