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Proofgold Signed Transaction

vin
PrD1n../316ec..
PUWJm../0ea86..
vout
PrD1n../e379e.. 7.13 bars
TMPnd../c4c35.. negprop ownership controlledby PrGxv.. upto 0
TMaJK../ba006.. ownership of b6c01.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMFdm../27f1d.. ownership of 1588a.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMaxW../a2265.. ownership of 96df8.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMUwk../f2b1e.. ownership of de997.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMMiS../48711.. ownership of 6891d.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMNHo../017b1.. ownership of dcc77.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMFZm../70380.. ownership of 1a774.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMJmM../e3a42.. ownership of 364a4.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMbEC../e0d20.. ownership of 6d5ea.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMVcz../39b54.. ownership of cc14b.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMSLV../76d24.. ownership of 82f14.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMcjL../9afd8.. ownership of 4c282.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMG5y../92568.. ownership of 9dc64.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMTjW../7ce44.. ownership of 838f5.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMPm4../970ff.. ownership of 05df6.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMHNA../e292f.. ownership of 4848f.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMWXC../118d9.. ownership of b24e2.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMGpB../42c36.. ownership of a866d.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMQQC../54a59.. ownership of 826e0.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMP3E../11bde.. ownership of df92f.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMXfS../1d710.. ownership of 75262.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMNwb../a12ea.. ownership of 4646b.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMNUL../58e92.. ownership of facf7.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMTK5../2069c.. ownership of 9eb52.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMbQL../c8ba1.. ownership of fbf8c.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMaeY../b151a.. ownership of 842c4.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMKw3../06155.. ownership of c4252.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMYex../7853a.. ownership of 7b384.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMHjY../80761.. ownership of e5778.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMdTT../80928.. ownership of 28895.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMRLW../657f4.. ownership of f684d.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMUNN../d2cc7.. ownership of eaf84.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMLLj../f80e2.. ownership of a1c68.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMT6t../f4e5f.. ownership of a9458.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMLdS../f97bf.. ownership of 2b512.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMPto../815df.. ownership of ca965.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMVXq../66422.. ownership of 9efcd.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMdRN../82145.. ownership of 49bac.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMZGj../57d41.. ownership of 063ac.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMFVN../be9f7.. ownership of 4ac44.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMLrV../a2507.. ownership of 67376.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMXzr../2e933.. ownership of 21981.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMK19../1c156.. ownership of ee7eb.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMP2Z../59c0a.. ownership of 7fc32.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMawu../d3ff6.. ownership of 42e43.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMdwR../6f957.. ownership of b74db.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMVgH../fc0f8.. ownership of 2eb6f.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMTra../9fb2d.. ownership of 74f17.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMdqP../69f76.. ownership of 84af1.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMGTE../592e4.. ownership of a15eb.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMX1j../224b3.. ownership of af84e.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMFDT../909c8.. ownership of 9c3c4.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMQVZ../5e285.. ownership of ffefa.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMSQQ../5d0ef.. ownership of 0401a.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMQG3../26d62.. ownership of ffc37.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMX5N../e5566.. ownership of edb54.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMK7b../2c57a.. ownership of 9f429.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMMz1../ed20c.. ownership of f254e.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMEzK../e6ed4.. ownership of 6774e.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMdE1../5ad89.. ownership of 92a47.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMaV5../e4c99.. ownership of fb77a.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMPm5../d1feb.. ownership of 7a30d.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMZnz../28179.. ownership of cdd8a.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMNeD../36d52.. ownership of b5c2a.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMaWG../45cb7.. ownership of 62476.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMJDK../1b798.. ownership of 7b83d.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMRYQ../974af.. ownership of 36b24.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMPLY../349e3.. ownership of ee30e.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMFZg../f932a.. ownership of ff84b.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMMdi../69b74.. ownership of 910e9.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMRkB../84ceb.. ownership of f9749.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMTJw../a64b6.. ownership of ddb1c.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMRxb../ceb68.. ownership of 38968.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMNLa../bba42.. ownership of 0f3ad.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMUV1../133c8.. ownership of 54459.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMYgg../c0399.. ownership of e58a3.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMS69../c50f3.. ownership of a5def.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMadM../91847.. ownership of 8cb3d.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMJxD../901a9.. ownership of 4bdb9.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMcZD../37dde.. ownership of 81251.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMN5f../51fed.. ownership of 0482c.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMdnU../06bd7.. ownership of 624f0.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMHQH../72211.. ownership of 0a32f.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMKNe../fb61a.. ownership of 80291.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMaw8../00f48.. ownership of b8b08.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMZQE../cc3eb.. ownership of ef8c9.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMT2h../e91c1.. ownership of a1a1b.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMPxG../dd3e4.. ownership of 2bb03.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMbb1../2d9cd.. ownership of becdb.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMchR../af1fd.. ownership of 746a6.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMJGZ../c3616.. ownership of cec81.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMN8y../9c10c.. ownership of 34736.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMGwi../b7efc.. ownership of b728e.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMcci../0c334.. ownership of 67c2c.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMbAH../29b9a.. ownership of 72b8e.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMaej../30f18.. ownership of c2589.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMMMV../d1550.. ownership of a14cf.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMGDZ../90024.. ownership of f0d13.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMHRM../e7d7c.. ownership of a0ec1.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMSqK../63dc7.. ownership of 2f36a.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMEva../a5bb4.. ownership of 62a09.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMYRc../8fe54.. ownership of 7b8bf.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMTmB../0f7e5.. ownership of 77b59.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMH2Y../83151.. ownership of 50730.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMdau../2c757.. ownership of 07fb9.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMEo7../d91e6.. ownership of 11d5d.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMU4d../99204.. ownership of 91964.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMJ78../ab8af.. ownership of 542d8.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMRSo../5f00e.. ownership of 7241c.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMZHq../957dc.. ownership of 019b9.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMRw7../608b0.. ownership of 1832c.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMQkm../b5edf.. ownership of 89e18.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMVVk../74c4d.. ownership of dabcf.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMcvU../27398.. ownership of 47d33.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMHYj../52a86.. ownership of 0cc7e.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMVLs../24856.. ownership of ee406.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMTy5../c50b8.. ownership of 84bad.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMNUV../bb6e6.. ownership of f451b.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMP3D../eeb6a.. ownership of a9278.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMVV2../ae6b7.. ownership of 0aa0d.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMRSj../8e1d8.. ownership of 924dd.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMWF8../c33cd.. ownership of 1df3b.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMTQf../1609d.. ownership of dc5ae.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMTTs../935e9.. ownership of 5af23.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMNp4../29ba5.. ownership of 5e60e.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMW91../4683c.. ownership of 82ec9.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMMrR../ea2da.. ownership of a3634.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMKg5../80669.. ownership of 7cf6a.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMbUy../e5c81.. ownership of 2f86f.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMMvt../fcb53.. ownership of 432e2.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMYhz../37550.. ownership of 5e750.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMduA../b2bb1.. ownership of 1f81f.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMUEx../1249f.. ownership of a8e2e.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMdyX../3c07d.. ownership of 856b8.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMbhW../0aabc.. ownership of 59f91.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMTvX../311fd.. ownership of 951e3.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMT5a../5147d.. ownership of 9ec26.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMQyp../5614a.. ownership of 112da.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMT6Y../1dc08.. ownership of 6641d.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMaWo../a3980.. ownership of dfebf.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMQdz../0e2ff.. ownership of 8b073.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMPYL../8893d.. ownership of 47684.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TML87../2d08a.. ownership of 2e85e.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMTCL../f89b4.. ownership of 23ac9.. as prop with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMHqw../c11d7.. ownership of e05e6.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMKrk../c1401.. ownership of fdbc8.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMSMY../10bea.. ownership of 74e69.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMXbP../46254.. ownership of e274d.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMJZg../5b96c.. ownership of 3a365.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMZHG../0a2bc.. ownership of 848d4.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMGCn../806bc.. ownership of 1fa6d.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMNQA../b8dbb.. ownership of 4983a.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMHV1../0d713.. ownership of f9341.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMRmz../91a20.. ownership of 41d0f.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMS5i../e5381.. ownership of 3e00e.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMPJr../b2150.. ownership of 6e210.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMG4h../e4668.. ownership of 2fe34.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMRbz../99f6e.. ownership of 78b50.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMaPm../2f3e7.. ownership of a6e19.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMKPK../b502e.. ownership of e794f.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMMgi../b3355.. ownership of c9248.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMcuR../54b48.. ownership of 1c80e.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMPLo../4cebe.. ownership of bf68c.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMNWh../d23e3.. ownership of b7581.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMTtX../ebe7a.. ownership of a3eb9.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMGTV../a5bf3.. ownership of eab9f.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMJ4A../5090e.. ownership of 5e331.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMQLg../3a191.. ownership of b182a.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMLpP../f00ed.. ownership of 6b90c.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMZCc../231e6.. ownership of b00c6.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMcEm../6f380.. ownership of c4def.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
TMGdw../86069.. ownership of 88108.. as obj with payaddr PrGxv.. rights free controlledby PrGxv.. upto 0
PUSb6../ab8cf.. doc published by PrGxv..
Definition and := λ x0 x1 : ο . ∀ x2 : ο . (x0 ⟶ x1 ⟶ x2) ⟶ x2
Known andI : ∀ x0 x1 : ο . x0 ⟶ x1 ⟶ and x0 x1
Theorem and3I : ∀ x0 x1 x2 : ο . x0 ⟶ x1 ⟶ x2 ⟶ and (and x0 x1) x2 (proof)
Definition c4def.. := prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x1))))) (prim1 (λ x0 . x0)))))))))))))))))))))
Definition 6b90c.. := λ x0 x1 . prim0 (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x3) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x2) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x2 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x2) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x3 x2)) (prim0 (prim0 x2 x2) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x2) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x3 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x2) (prim0 x3 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x3) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x2) (prim0 x3 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x3 x2)) (prim0 (prim0 x2 x2) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x3) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x2) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x2) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x3 x3))))) (prim1 (λ x2 . x2)))))))))))))))))))))) (prim0 x0 x1)
Definition 5e331.. := prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim1 (λ x0 . x0))))))))))))))))))))
Definition a3eb9.. := λ x0 x1 . prim0 (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x3) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x2) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x2 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x2) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x3 x2)) (prim0 (prim0 x2 x2) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x2) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x3 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x2) (prim0 x3 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x3) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x2) (prim0 x3 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x3 x2)) (prim0 (prim0 x2 x2) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x2) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x2) (prim0 x3 x2))))) (prim1 (λ x2 . x2))))))))))))))))))))) (prim0 x0 x1)
Definition bf68c.. := λ x0 x1 . prim0 (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x3) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x2) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x2 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x2) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x3 x2)) (prim0 (prim0 x2 x2) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x2) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x3 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x2) (prim0 x3 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x3) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x2) (prim0 x3 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x3 x2)) (prim0 (prim0 x2 x2) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x3 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x2 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x2) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x2) (prim0 x3 x3))))) (prim1 (λ x2 . x2)))))))))))))))))))))) (prim0 x0 x1)
Definition c9248.. := prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim1 (λ x0 . x0)))))))))))))))))))))
Definition a6e19.. := prim0 (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim1 (λ x0 . x0))))))))))))))))))))))
Definition 2fe34.. := prim0 (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim1 (λ x0 . x0))))))))))))))))))))))
Definition 3e00e.. := λ x0 x1 . prim0 (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x3) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x2) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x2 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x2) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x3 x2)) (prim0 (prim0 x2 x2) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x2) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x3 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x2) (prim0 x3 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x3) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x2) (prim0 x3 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x3 x2)) (prim0 (prim0 x2 x2) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x3) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x2) (prim0 x3 x2))))) (prim1 (λ x2 . x2)))))))))))))))))))))) (prim0 x0 x1)
Definition f9341.. := λ x0 x1 . prim0 (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x3) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x2) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x2 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x2) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x3 x2)) (prim0 (prim0 x2 x2) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x2) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x3 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x2) (prim0 x3 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x3) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x2) (prim0 x3 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x3 x2)) (prim0 (prim0 x2 x2) (prim0 x2 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x3 x3))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x3 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x3)) (prim0 (prim0 x2 x3) (prim0 x3 x2))))) (prim0 (prim1 (λ x2 . prim1 (λ x3 . prim0 (prim0 (prim0 x3 x2) (prim0 x2 x2)) (prim0 (prim0 x3 x3) (prim0 x2 x3))))) (prim1 (λ x2 . x2)))))))))))))))))))))) (prim0 x0 x1)
Definition 1fa6d.. := prim0 (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim1 (λ x0 . x0))))))))))))))))))))))
Definition 3a365.. := prim0 (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x1))))) (prim1 (λ x0 . x0))))))))))))))))))))))
Definition False := ∀ x0 : ο . x0
Known 92e6a.. : ∀ x0 : ι → ι . ∀ x1 x2 . prim1 x0 = prim0 x1 x2 ⟶ False
Known 50787.. : ∀ x0 x1 x2 x3 . prim0 x0 x1 = prim0 x2 x3 ⟶ x0 = x2
Theorem 8b073.. : ∀ x0 x1 x2 . prim0 (prim1 (λ x4 . prim1 (λ x5 . prim0 (prim0 (prim0 x5 x4) (prim0 x4 x5)) (prim0 (prim0 x5 x5) (prim0 x4 x4))))) x0 = prim0 (prim0 (prim1 (λ x4 . prim1 (λ x5 . prim0 (prim0 (prim0 x5 x4) (prim0 x4 x5)) (prim0 (prim0 x5 x5) (prim0 x4 x4))))) x1) x2 ⟶ ∀ x3 : ο . x3 (proof)
Theorem 6641d.. : ∀ x0 x1 x2 . prim0 (prim0 (prim1 (λ x4 . prim1 (λ x5 . prim0 (prim0 (prim0 x5 x4) (prim0 x4 x5)) (prim0 (prim0 x5 x5) (prim0 x4 x4))))) x1) x2 = prim0 (prim1 (λ x4 . prim1 (λ x5 . prim0 (prim0 (prim0 x5 x4) (prim0 x4 x5)) (prim0 (prim0 x5 x5) (prim0 x4 x4))))) x0 ⟶ ∀ x3 : ο . x3 (proof)
Theorem 9ec26.. : ∀ x0 x1 . 5e331.. = a3eb9.. x0 x1 ⟶ ∀ x2 : ο . x2 (proof)
Theorem 59f91.. : ∀ x0 x1 . 5e331.. = bf68c.. x0 x1 ⟶ ∀ x2 : ο . x2 (proof)
Param 236c6.. : ι
Known f558c.. : ∀ x0 x1 . 236c6.. = prim0 x0 x1 ⟶ ∀ x2 : ο . x2
Known 93754.. : ∀ x0 x1 x2 x3 . prim0 x0 x1 = prim0 x2 x3 ⟶ x1 = x3
Known db6fe.. : ∀ x0 x1 : ι → ι . ∀ x2 . prim1 x0 = prim1 x1 ⟶ x0 x2 = x1 x2
Theorem a8e2e.. : ∀ x0 x1 x2 x3 . a3eb9.. x0 x1 = bf68c.. x2 x3 ⟶ ∀ x4 : ο . x4 (proof)
Known 128d8.. : ∀ x0 x1 x2 x3 . prim0 x0 x1 = prim0 x2 x3 ⟶ ∀ x4 : ο . (x0 = x2 ⟶ x1 = x3 ⟶ x4) ⟶ x4
Theorem 5e750.. : ∀ x0 x1 x2 x3 . a3eb9.. x0 x1 = a3eb9.. x2 x3 ⟶ and (x0 = x2) (x1 = x3) (proof)
Theorem 2f86f.. : ∀ x0 x1 x2 x3 . bf68c.. x0 x1 = bf68c.. x2 x3 ⟶ and (x0 = x2) (x1 = x3) (proof)
Theorem a3634.. : ∀ x0 x1 . c4def.. = 6b90c.. x0 x1 ⟶ ∀ x2 : ο . x2 (proof)
Known 0286c.. : ∀ x0 x1 . prim0 x0 x1 = 236c6.. ⟶ False
Theorem 5e60e.. : c4def.. = c9248.. ⟶ ∀ x0 : ο . x0 (proof)
Theorem dc5ae.. : ∀ x0 x1 . 6b90c.. x0 x1 = c9248.. ⟶ ∀ x2 : ο . x2 (proof)
Theorem 924dd.. : ∀ x0 . c4def.. = a6e19.. x0 ⟶ ∀ x1 : ο . x1 (proof)
Theorem a9278.. : ∀ x0 x1 x2 . 6b90c.. x0 x1 = a6e19.. x2 ⟶ ∀ x3 : ο . x3 (proof)
Theorem 84bad.. : ∀ x0 . c9248.. = a6e19.. x0 ⟶ ∀ x1 : ο . x1 (proof)
Theorem 0cc7e.. : ∀ x0 . c4def.. = 2fe34.. x0 ⟶ ∀ x1 : ο . x1 (proof)
Theorem dabcf.. : ∀ x0 x1 x2 . 6b90c.. x0 x1 = 2fe34.. x2 ⟶ ∀ x3 : ο . x3 (proof)
Theorem 1832c.. : ∀ x0 . c9248.. = 2fe34.. x0 ⟶ ∀ x1 : ο . x1 (proof)
Theorem 7241c.. : ∀ x0 x1 . a6e19.. x0 = 2fe34.. x1 ⟶ ∀ x2 : ο . x2 (proof)
Theorem 91964.. : ∀ x0 x1 . c4def.. = 3e00e.. x0 x1 ⟶ ∀ x2 : ο . x2 (proof)
Theorem 07fb9.. : ∀ x0 x1 x2 x3 . 6b90c.. x0 x1 = 3e00e.. x2 x3 ⟶ ∀ x4 : ο . x4 (proof)
Theorem 77b59.. : ∀ x0 x1 . c9248.. = 3e00e.. x0 x1 ⟶ ∀ x2 : ο . x2 (proof)
Theorem 62a09.. : ∀ x0 x1 x2 . a6e19.. x0 = 3e00e.. x1 x2 ⟶ ∀ x3 : ο . x3 (proof)
Theorem a0ec1.. : ∀ x0 x1 x2 . 2fe34.. x0 = 3e00e.. x1 x2 ⟶ ∀ x3 : ο . x3 (proof)
Theorem a14cf.. : ∀ x0 x1 . c4def.. = f9341.. x0 x1 ⟶ ∀ x2 : ο . x2 (proof)
Theorem 72b8e.. : ∀ x0 x1 x2 x3 . 6b90c.. x0 x1 = f9341.. x2 x3 ⟶ ∀ x4 : ο . x4 (proof)
Theorem b728e.. : ∀ x0 x1 . c9248.. = f9341.. x0 x1 ⟶ ∀ x2 : ο . x2 (proof)
Theorem cec81.. : ∀ x0 x1 x2 . a6e19.. x0 = f9341.. x1 x2 ⟶ ∀ x3 : ο . x3 (proof)
Theorem becdb.. : ∀ x0 x1 x2 . 2fe34.. x0 = f9341.. x1 x2 ⟶ ∀ x3 : ο . x3 (proof)
Theorem a1a1b.. : ∀ x0 x1 x2 x3 . 3e00e.. x0 x1 = f9341.. x2 x3 ⟶ ∀ x4 : ο . x4 (proof)
Theorem b8b08.. : ∀ x0 . c4def.. = 1fa6d.. x0 ⟶ ∀ x1 : ο . x1 (proof)
Theorem 0a32f.. : ∀ x0 x1 x2 . 6b90c.. x0 x1 = 1fa6d.. x2 ⟶ ∀ x3 : ο . x3 (proof)
Theorem 0482c.. : ∀ x0 . c9248.. = 1fa6d.. x0 ⟶ ∀ x1 : ο . x1 (proof)
Theorem 4bdb9.. : ∀ x0 x1 . a6e19.. x0 = 1fa6d.. x1 ⟶ ∀ x2 : ο . x2 (proof)
Theorem a5def.. : ∀ x0 x1 . 2fe34.. x0 = 1fa6d.. x1 ⟶ ∀ x2 : ο . x2 (proof)
Theorem 54459.. : ∀ x0 x1 x2 . 3e00e.. x0 x1 = 1fa6d.. x2 ⟶ ∀ x3 : ο . x3 (proof)
Theorem 38968.. : ∀ x0 x1 x2 . f9341.. x0 x1 = 1fa6d.. x2 ⟶ ∀ x3 : ο . x3 (proof)
Theorem f9749.. : ∀ x0 . c4def.. = 3a365.. x0 ⟶ ∀ x1 : ο . x1 (proof)
Theorem ff84b.. : ∀ x0 x1 x2 . 6b90c.. x0 x1 = 3a365.. x2 ⟶ ∀ x3 : ο . x3 (proof)
Theorem 36b24.. : ∀ x0 . c9248.. = 3a365.. x0 ⟶ ∀ x1 : ο . x1 (proof)
Theorem 62476.. : ∀ x0 x1 . a6e19.. x0 = 3a365.. x1 ⟶ ∀ x2 : ο . x2 (proof)
Theorem cdd8a.. : ∀ x0 x1 . 2fe34.. x0 = 3a365.. x1 ⟶ ∀ x2 : ο . x2 (proof)
Theorem fb77a.. : ∀ x0 x1 x2 . 3e00e.. x0 x1 = 3a365.. x2 ⟶ ∀ x3 : ο . x3 (proof)
Theorem 6774e.. : ∀ x0 x1 x2 . f9341.. x0 x1 = 3a365.. x2 ⟶ ∀ x3 : ο . x3 (proof)
Theorem 9f429.. : ∀ x0 x1 . 1fa6d.. x0 = 3a365.. x1 ⟶ ∀ x2 : ο . x2 (proof)
Theorem ffc37.. : ∀ x0 x1 x2 x3 . 6b90c.. x0 x1 = 6b90c.. x2 x3 ⟶ and (x0 = x2) (x1 = x3) (proof)
Theorem ffefa.. : ∀ x0 x1 x2 x3 . 6b90c.. x0 x1 = 6b90c.. x2 x3 ⟶ x0 = x2 (proof)
Theorem af84e.. : ∀ x0 x1 x2 x3 . 6b90c.. x0 x1 = 6b90c.. x2 x3 ⟶ x1 = x3 (proof)
Theorem 84af1.. : ∀ x0 x1 . a6e19.. x0 = a6e19.. x1 ⟶ x0 = x1 (proof)
Theorem 2eb6f.. : ∀ x0 x1 . 2fe34.. x0 = 2fe34.. x1 ⟶ x0 = x1 (proof)
Theorem 42e43.. : ∀ x0 x1 x2 x3 . 3e00e.. x0 x1 = 3e00e.. x2 x3 ⟶ and (x0 = x2) (x1 = x3) (proof)
Theorem ee7eb.. : ∀ x0 x1 x2 x3 . 3e00e.. x0 x1 = 3e00e.. x2 x3 ⟶ x0 = x2 (proof)
Theorem 67376.. : ∀ x0 x1 x2 x3 . 3e00e.. x0 x1 = 3e00e.. x2 x3 ⟶ x1 = x3 (proof)
Theorem 063ac.. : ∀ x0 x1 x2 x3 . f9341.. x0 x1 = f9341.. x2 x3 ⟶ and (x0 = x2) (x1 = x3) (proof)
Theorem 9efcd.. : ∀ x0 x1 x2 x3 . f9341.. x0 x1 = f9341.. x2 x3 ⟶ x0 = x2 (proof)
Theorem 2b512.. : ∀ x0 x1 x2 x3 . f9341.. x0 x1 = f9341.. x2 x3 ⟶ x1 = x3 (proof)
Theorem a1c68.. : ∀ x0 x1 . 1fa6d.. x0 = 1fa6d.. x1 ⟶ x0 = x1 (proof)
Theorem f684d.. : ∀ x0 x1 . 3a365.. x0 = 3a365.. x1 ⟶ x0 = x1 (proof)
Definition 74e69.. := λ x0 . ∀ x1 : ι → ο . x1 5e331.. ⟶ (∀ x2 x3 . x1 x2 ⟶ x1 x3 ⟶ x1 (a3eb9.. x2 x3)) ⟶ (∀ x2 x3 . x1 x2 ⟶ x1 x3 ⟶ x1 (bf68c.. x2 x3)) ⟶ x1 x0
Theorem e5778.. : 74e69.. 5e331.. (proof)
Theorem c4252.. : ∀ x0 x1 . 74e69.. x0 ⟶ 74e69.. x1 ⟶ 74e69.. (a3eb9.. x0 x1) (proof)
Theorem fbf8c.. : ∀ x0 x1 . 74e69.. x0 ⟶ 74e69.. x1 ⟶ 74e69.. (bf68c.. x0 x1) (proof)
Theorem facf7.. : ∀ x0 : ι → ο . x0 5e331.. ⟶ (∀ x1 x2 . 74e69.. x1 ⟶ x0 x1 ⟶ 74e69.. x2 ⟶ x0 x2 ⟶ x0 (a3eb9.. x1 x2)) ⟶ (∀ x1 x2 . 74e69.. x1 ⟶ x0 x1 ⟶ 74e69.. x2 ⟶ x0 x2 ⟶ x0 (bf68c.. x1 x2)) ⟶ ∀ x1 . 74e69.. x1 ⟶ x0 x1 (proof)
Known FalseE : False ⟶ ∀ x0 : ο . x0
Theorem 75262.. : ∀ x0 x1 . 74e69.. (a3eb9.. x0 x1) ⟶ and (74e69.. x0) (74e69.. x1) (proof)
Theorem 826e0.. : ∀ x0 x1 . 74e69.. (bf68c.. x0 x1) ⟶ and (74e69.. x0) (74e69.. x1) (proof)
Definition e05e6.. := λ x0 . ∀ x1 : ι → ο . x1 c4def.. ⟶ (∀ x2 x3 . x1 x2 ⟶ x1 x3 ⟶ x1 (6b90c.. x2 x3)) ⟶ x1 c9248.. ⟶ (∀ x2 . x1 x2 ⟶ x1 (a6e19.. x2)) ⟶ (∀ x2 . x1 x2 ⟶ x1 (2fe34.. x2)) ⟶ (∀ x2 x3 . x1 x2 ⟶ x1 x3 ⟶ x1 (3e00e.. x2 x3)) ⟶ (∀ x2 x3 . x1 x2 ⟶ x1 x3 ⟶ x1 (f9341.. x2 x3)) ⟶ (∀ x2 . x1 x2 ⟶ x1 (1fa6d.. x2)) ⟶ (∀ x2 . x1 x2 ⟶ x1 (3a365.. x2)) ⟶ x1 x0
Theorem b24e2.. : e05e6.. c4def.. (proof)
Theorem 05df6.. : ∀ x0 x1 . e05e6.. x0 ⟶ e05e6.. x1 ⟶ e05e6.. (6b90c.. x0 x1) (proof)
Theorem 9dc64.. : e05e6.. c9248.. (proof)
Theorem 82f14.. : ∀ x0 . e05e6.. x0 ⟶ e05e6.. (a6e19.. x0) (proof)
Theorem 6d5ea.. : ∀ x0 . e05e6.. x0 ⟶ e05e6.. (2fe34.. x0) (proof)
Theorem 1a774.. : ∀ x0 x1 . e05e6.. x0 ⟶ e05e6.. x1 ⟶ e05e6.. (3e00e.. x0 x1) (proof)
Theorem 6891d.. : ∀ x0 x1 . e05e6.. x0 ⟶ e05e6.. x1 ⟶ e05e6.. (f9341.. x0 x1) (proof)
Theorem 96df8.. : ∀ x0 . e05e6.. x0 ⟶ e05e6.. (1fa6d.. x0) (proof)
Theorem b6c01.. : ∀ x0 . e05e6.. x0 ⟶ e05e6.. (3a365.. x0) (proof)