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Proofgold Proposition

∀ x0 : ο . ((∀ x1 x2 : ι → ο . wb (wfr x1 x2) (∀ x3 . wa (wss (cv x3) x1) (wne (cv x3) c0)wrex (λ x4 . wral (λ x5 . wn (wbr (cv x5) (cv x4) x2)) (λ x5 . cv x3)) (λ x4 . cv x3)))(∀ x1 x2 : ι → ο . wb (wse x1 x2) (wral (λ x3 . wcel (crab (λ x4 . wbr (cv x4) (cv x3) x2) (λ x4 . x1)) cvv) (λ x3 . x1)))(∀ x1 x2 : ι → ο . wb (wwe x1 x2) (wa (wfr x1 x2) (wor x1 x2)))(∀ x1 x2 : ι → ο . wceq (cxp x1 x2) (copab (λ x3 x4 . wa (wcel (cv x3) x1) (wcel (cv x4) x2))))(∀ x1 : ι → ο . wb (wrel x1) (wss x1 (cxp cvv cvv)))(∀ x1 : ι → ο . wceq (ccnv x1) (copab (λ x2 x3 . wbr (cv x3) (cv x2) x1)))(∀ x1 x2 : ι → ο . wceq (ccom x1 x2) (copab (λ x3 x4 . wex (λ x5 . wa (wbr (cv x3) (cv x5) x2) (wbr (cv x5) (cv x4) x1)))))(∀ x1 : ι → ο . wceq (cdm x1) (cab (λ x2 . wex (λ x3 . wbr (cv x2) (cv x3) x1))))(∀ x1 : ι → ο . wceq (crn x1) (cdm (ccnv x1)))(∀ x1 x2 : ι → ο . wceq (cres x1 x2) (cin x1 (cxp x2 cvv)))(∀ x1 x2 : ι → ο . wceq (cima x1 x2) (crn (cres x1 x2)))(∀ x1 x2 x3 : ι → ο . wceq (cpred x1 x2 x3) (cin x1 (cima (ccnv x2) (csn x3))))(∀ x1 : ι → ο . wb (word x1) (wa (wtr x1) (wwe x1 cep)))wceq con0 (cab (λ x1 . word (cv x1)))(∀ x1 : ι → ο . wb (wlim x1) (w3a (word x1) (wne x1 c0) (wceq x1 (cuni x1))))(∀ x1 : ι → ο . wceq (csuc x1) (cun x1 (csn x1)))(∀ x1 : ι → ο . wceq (cio x1) (cuni (cab (λ x2 . wceq (cab x1) (csn (cv x2))))))(∀ x1 : ι → ο . wb (wfun x1) (wa (wrel x1) (wss (ccom x1 (ccnv x1)) cid)))x0)x0
type
prop
theory
SetMM
name
df_fr__df_se__df_we__df_xp__df_rel__df_cnv__df_co__df_dm__df_rn__df_res__df_ima__df_pred__df_ord__df_on__df_lim__df_suc__df_iota__df_fun
proof
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proofgold address
TMKMP..
creator
36224 PrCmT../f2bd8..
owner
36224 PrCmT../f2bd8..
term root
81bf9..