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Proofgold Proposition

∀ x0 : ο . (wceq cme (cmpt (λ x1 . cvv) (λ x1 . crab (λ x2 . wral (λ x3 . wral (λ x4 . wa (wb (wceq (co (cv x3) (cv x4) (cv x2)) cc0) (wceq (cv x3) (cv x4))) (wral (λ x5 . wbr (co (cv x3) (cv x4) (cv x2)) (co (co (cv x5) (cv x3) (cv x2)) (co (cv x5) (cv x4) (cv x2)) caddc) cle) (λ x5 . cv x1))) (λ x4 . cv x1)) (λ x3 . cv x1)) (λ x2 . co cr (cxp (cv x1) (cv x1)) cmap)))wceq cbl (cmpt (λ x1 . cvv) (λ x1 . cmpt2 (λ x2 x3 . cdm (cdm (cv x1))) (λ x2 x3 . cxr) (λ x2 x3 . crab (λ x4 . wbr (co (cv x2) (cv x4) (cv x1)) (cv x3) clt) (λ x4 . cdm (cdm (cv x1))))))wceq cmopn (cmpt (λ x1 . cuni (crn cxmt)) (λ x1 . cfv (crn (cfv (cv x1) cbl)) ctg))wceq cfbas (cmpt (λ x1 . cvv) (λ x1 . crab (λ x2 . w3a (wne (cv x2) c0) (wnel c0 (cv x2)) (wral (λ x3 . wral (λ x4 . wne (cin (cv x2) (cpw (cin (cv x3) (cv x4)))) c0) (λ x4 . cv x2)) (λ x3 . cv x2))) (λ x2 . cpw (cpw (cv x1)))))wceq cfg (cmpt2 (λ x1 x2 . cvv) (λ x1 x2 . cfv (cv x1) cfbas) (λ x1 x2 . crab (λ x3 . wne (cin (cv x2) (cpw (cv x3))) c0) (λ x3 . cpw (cv x1))))wceq cmetu (cmpt (λ x1 . cuni (crn cpsmet)) (λ x1 . co (cxp (cdm (cdm (cv x1))) (cdm (cdm (cv x1)))) (crn (cmpt (λ x2 . crp) (λ x2 . cima (ccnv (cv x1)) (co cc0 (cv x2) cico)))) cfg))wceq ccnfld (cun (cun (ctp (cop (cfv cnx cbs) cc) (cop (cfv cnx cplusg) caddc) (cop (cfv cnx cmulr) cmul)) (csn (cop (cfv cnx cstv) ccj))) (cun (ctp (cop (cfv cnx cts) (cfv (ccom cabs cmin) cmopn)) (cop (cfv cnx cple) cle) (cop (cfv cnx cds) (ccom cabs cmin))) (csn (cop (cfv cnx cunif) (cfv (ccom cabs cmin) cmetu)))))wceq zring (co ccnfld cz cress)wceq czrh (cmpt (λ x1 . cvv) (λ x1 . cuni (co zring (cv x1) crh)))wceq czlm (cmpt (λ x1 . cvv) (λ x1 . co (co (cv x1) (cop (cfv cnx csca) zring) csts) (cop (cfv cnx cvsca) (cfv (cv x1) cmg)) csts))wceq cchr (cmpt (λ x1 . cvv) (λ x1 . cfv (cfv (cv x1) cur) (cfv (cv x1) cod)))wceq czn (cmpt (λ x1 . cn0) (λ x1 . csb zring (λ x2 . csb (co (cv x2) (co (cv x2) (cfv (csn (cv x1)) (cfv (cv x2) crsp)) cqg) cqus) (λ x3 . co (cv x3) (cop (cfv cnx cple) (csb (cres (cfv (cv x3) czrh) (cif (wceq (cv x1) cc0) cz (co cc0 (cv x1) cfzo))) (λ x4 . ccom (ccom (cv x4) cle) (ccnv (cv x4))))) csts))))wceq crefld (co ccnfld cr cress)wceq cphl (crab (λ x1 . wsbc (λ x2 . wsbc (λ x3 . wsbc (λ x4 . wa (wcel (cv x4) csr) (wral (λ x5 . w3a (wcel (cmpt (λ x6 . cv x2) (λ x6 . co (cv x6) (cv x5) (cv x3))) (co (cv x1) (cfv (cv x4) crglmod) clmhm)) (wceq (co (cv x5) (cv x5) (cv x3)) (cfv (cv x4) c0g)wceq (cv x5) (cfv (cv x1) c0g)) (wral (λ x6 . wceq (cfv (co (cv x5) (cv x6) (cv x3)) (cfv (cv x4) cstv)) (co (cv x6) (cv x5) (cv x3))) (λ x6 . cv x2))) (λ x5 . cv x2))) (cfv (cv x1) csca)) (cfv (cv x1) cip)) (cfv (cv x1) cbs)) (λ x1 . clvec))wceq cipf (cmpt (λ x1 . cvv) (λ x1 . cmpt2 (λ x2 x3 . cfv (cv x1) cbs) (λ x2 x3 . cfv (cv x1) cbs) (λ x2 x3 . co (cv x2) (cv x3) (cfv (cv x1) cip))))wceq cocv (cmpt (λ x1 . cvv) (λ x1 . cmpt (λ x2 . cpw (cfv (cv x1) cbs)) (λ x2 . crab (λ x3 . wral (λ x4 . wceq (co (cv x3) (cv x4) (cfv (cv x1) cip)) (cfv (cfv (cv x1) csca) c0g)) (λ x4 . cv x2)) (λ x3 . cfv (cv x1) cbs))))wceq ccss (cmpt (λ x1 . cvv) (λ x1 . cab (λ x2 . wceq (cv x2) (cfv (cfv (cv x2) (cfv (cv x1) cocv)) (cfv (cv x1) cocv)))))wceq cthl (cmpt (λ x1 . cvv) (λ x1 . co (cfv (cfv (cv x1) ccss) cipo) (cop (cfv cnx coc) (cfv (cv x1) cocv)) csts))x0)x0
type
prop
theory
SetMM
name
df_met__df_bl__df_mopn__df_fbas__df_fg__df_metu__df_cnfld__df_zring__df_zrh__df_zlm__df_chr__df_zn__df_refld__df_phl__df_ipf__df_ocv__df_css__df_thl
proof
PUV1k..
Megalodon
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proofgold address
TMUH4..
creator
36224 PrCmT../58bc9..
owner
36224 PrCmT../58bc9..
term root
85e63..