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Proofgold Proposition

∀ x0 : ο . (wceq cuhgr (cab (λ x1 . wsbc (λ x2 . wsbc (λ x3 . wf (cdm (cv x3)) (cdif (cpw (cv x2)) (csn c0)) (cv x3)) (cfv (cv x1) ciedg)) (cfv (cv x1) cvtx)))wceq cushgr (cab (λ x1 . wsbc (λ x2 . wsbc (λ x3 . wf1 (cdm (cv x3)) (cdif (cpw (cv x2)) (csn c0)) (cv x3)) (cfv (cv x1) ciedg)) (cfv (cv x1) cvtx)))wceq cupgr (cab (λ x1 . wsbc (λ x2 . wsbc (λ x3 . wf (cdm (cv x3)) (crab (λ x4 . wbr (cfv (cv x4) chash) c2 cle) (λ x4 . cdif (cpw (cv x2)) (csn c0))) (cv x3)) (cfv (cv x1) ciedg)) (cfv (cv x1) cvtx)))wceq cumgr (cab (λ x1 . wsbc (λ x2 . wsbc (λ x3 . wf (cdm (cv x3)) (crab (λ x4 . wceq (cfv (cv x4) chash) c2) (λ x4 . cdif (cpw (cv x2)) (csn c0))) (cv x3)) (cfv (cv x1) ciedg)) (cfv (cv x1) cvtx)))wceq cuspgr (cab (λ x1 . wsbc (λ x2 . wsbc (λ x3 . wf1 (cdm (cv x3)) (crab (λ x4 . wbr (cfv (cv x4) chash) c2 cle) (λ x4 . cdif (cpw (cv x2)) (csn c0))) (cv x3)) (cfv (cv x1) ciedg)) (cfv (cv x1) cvtx)))wceq cusgr (cab (λ x1 . wsbc (λ x2 . wsbc (λ x3 . wf1 (cdm (cv x3)) (crab (λ x4 . wceq (cfv (cv x4) chash) c2) (λ x4 . cdif (cpw (cv x2)) (csn c0))) (cv x3)) (cfv (cv x1) ciedg)) (cfv (cv x1) cvtx)))wceq csubgr (copab (λ x1 x2 . w3a (wss (cfv (cv x1) cvtx) (cfv (cv x2) cvtx)) (wceq (cfv (cv x1) ciedg) (cres (cfv (cv x2) ciedg) (cdm (cfv (cv x1) ciedg)))) (wss (cfv (cv x1) cedg) (cpw (cfv (cv x1) cvtx)))))wceq cfusgr (crab (λ x1 . wcel (cfv (cv x1) cvtx) cfn) (λ x1 . cusgr))wceq cnbgr (cmpt2 (λ x1 x2 . cvv) (λ x1 x2 . cfv (cv x1) cvtx) (λ x1 x2 . crab (λ x3 . wrex (λ x4 . wss (cpr (cv x2) (cv x3)) (cv x4)) (λ x4 . cfv (cv x1) cedg)) (λ x3 . cdif (cfv (cv x1) cvtx) (csn (cv x2)))))wceq cuvtx (cmpt (λ x1 . cvv) (λ x1 . crab (λ x2 . wral (λ x3 . wcel (cv x3) (co (cv x1) (cv x2) cnbgr)) (λ x3 . cdif (cfv (cv x1) cvtx) (csn (cv x2)))) (λ x2 . cfv (cv x1) cvtx)))wceq ccplgr (cab (λ x1 . wceq (cfv (cv x1) cuvtx) (cfv (cv x1) cvtx)))wceq ccusgr (cin cusgr ccplgr)wceq cvtxdg (cmpt (λ x1 . cvv) (λ x1 . csb (cfv (cv x1) cvtx) (λ x2 . csb (cfv (cv x1) ciedg) (λ x3 . cmpt (λ x4 . cv x2) (λ x4 . co (cfv (crab (λ x5 . wcel (cv x4) (cfv (cv x5) (cv x3))) (λ x5 . cdm (cv x3))) chash) (cfv (crab (λ x5 . wceq (cfv (cv x5) (cv x3)) (csn (cv x4))) (λ x5 . cdm (cv x3))) chash) cxad)))))wceq crgr (copab (λ x1 x2 . wa (wcel (cv x2) cxnn0) (wral (λ x3 . wceq (cfv (cv x3) (cfv (cv x1) cvtxdg)) (cv x2)) (λ x3 . cfv (cv x1) cvtx))))wceq crusgr (copab (λ x1 x2 . wa (wcel (cv x1) cusgr) (wbr (cv x1) (cv x2) crgr)))wceq cewlks (cmpt2 (λ x1 x2 . cvv) (λ x1 x2 . cxnn0) (λ x1 x2 . cab (λ x3 . wsbc (λ x4 . wa (wcel (cv x3) (cword (cdm (cv x4)))) (wral (λ x5 . wbr (cv x2) (cfv (cin (cfv (cfv (co (cv x5) c1 cmin) (cv x3)) (cv x4)) (cfv (cfv (cv x5) (cv x3)) (cv x4))) chash) cle) (λ x5 . co c1 (cfv (cv x3) chash) cfzo))) (cfv (cv x1) ciedg))))wceq cwlks (cmpt (λ x1 . cvv) (λ x1 . copab (λ x2 x3 . w3a (wcel (cv x2) (cword (cdm (cfv (cv x1) ciedg)))) (wf (co cc0 (cfv (cv x2) chash) cfz) (cfv (cv x1) cvtx) (cv x3)) (wral (λ x4 . wif (wceq (cfv (cv x4) (cv x3)) (cfv (co (cv x4) c1 caddc) (cv x3))) (wceq (cfv (cfv (cv x4) (cv x2)) (cfv (cv x1) ciedg)) (csn (cfv (cv x4) (cv x3)))) (wss (cpr (cfv (cv x4) (cv x3)) (cfv (co (cv x4) c1 caddc) (cv x3))) (cfv (cfv (cv x4) (cv x2)) (cfv (cv x1) ciedg)))) (λ x4 . co cc0 (cfv (cv x2) chash) cfzo)))))wceq cwlkson (cmpt (λ x1 . cvv) (λ x1 . cmpt2 (λ x2 x3 . cfv (cv x1) cvtx) (λ x2 x3 . cfv (cv x1) cvtx) (λ x2 x3 . copab (λ x4 x5 . w3a (wbr (cv x4) (cv x5) (cfv (cv x1) cwlks)) (wceq (cfv cc0 (cv x5)) (cv x2)) (wceq (cfv (cfv (cv x4) chash) (cv x5)) (cv x3))))))x0)x0
type
prop
theory
SetMM
name
df_uhgr__df_ushgr__df_upgr__df_umgr__df_uspgr__df_usgr__df_subgr__df_fusgr__df_nbgr__df_uvtx__df_cplgr__df_cusgr__df_vtxdg__df_rgr__df_rusgr__df_ewlks__df_wlks__df_wlkson
proof
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proofgold address
TMM8F..
creator
36224 PrCmT../0c86e..
owner
36224 PrCmT../0c86e..
term root
0f971..