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Proofgold Proposition

∀ x0 : ο . (wceq ctrg (crab (λ x1 . wcel (cfv (cv x1) cmgp) ctmd) (λ x1 . cin ctgp crg))wceq ctdrg (crab (λ x1 . wcel (co (cfv (cv x1) cmgp) (cfv (cv x1) cui) cress) ctgp) (λ x1 . cin ctrg cdr))wceq ctlm (crab (λ x1 . wa (wcel (cfv (cv x1) csca) ctrg) (wcel (cfv (cv x1) cscaf) (co (co (cfv (cfv (cv x1) csca) ctopn) (cfv (cv x1) ctopn) ctx) (cfv (cv x1) ctopn) ccn))) (λ x1 . cin ctmd clmod))wceq ctvc (crab (λ x1 . wcel (cfv (cv x1) csca) ctdrg) (λ x1 . ctlm))wceq cust (cmpt (λ x1 . cvv) (λ x1 . cab (λ x2 . w3a (wss (cv x2) (cpw (cxp (cv x1) (cv x1)))) (wcel (cxp (cv x1) (cv x1)) (cv x2)) (wral (λ x3 . w3a (wral (λ x4 . wss (cv x3) (cv x4)wcel (cv x4) (cv x2)) (λ x4 . cpw (cxp (cv x1) (cv x1)))) (wral (λ x4 . wcel (cin (cv x3) (cv x4)) (cv x2)) (λ x4 . cv x2)) (w3a (wss (cres cid (cv x1)) (cv x3)) (wcel (ccnv (cv x3)) (cv x2)) (wrex (λ x4 . wss (ccom (cv x4) (cv x4)) (cv x3)) (λ x4 . cv x2)))) (λ x3 . cv x2)))))wceq cutop (cmpt (λ x1 . cuni (crn cust)) (λ x1 . crab (λ x2 . wral (λ x3 . wrex (λ x4 . wss (cima (cv x4) (csn (cv x3))) (cv x2)) (λ x4 . cv x1)) (λ x3 . cv x2)) (λ x2 . cpw (cdm (cuni (cv x1))))))wceq cuss (cmpt (λ x1 . cvv) (λ x1 . co (cfv (cv x1) cunif) (cxp (cfv (cv x1) cbs) (cfv (cv x1) cbs)) crest))wceq cusp (cab (λ x1 . wa (wcel (cfv (cv x1) cuss) (cfv (cfv (cv x1) cbs) cust)) (wceq (cfv (cv x1) ctopn) (cfv (cfv (cv x1) cuss) cutop))))wceq ctus (cmpt (λ x1 . cuni (crn cust)) (λ x1 . co (cpr (cop (cfv cnx cbs) (cdm (cuni (cv x1)))) (cop (cfv cnx cunif) (cv x1))) (cop (cfv cnx cts) (cfv (cv x1) cutop)) csts))wceq cucn (cmpt2 (λ x1 x2 . cuni (crn cust)) (λ x1 x2 . cuni (crn cust)) (λ x1 x2 . crab (λ x3 . wral (λ x4 . wrex (λ x5 . wral (λ x6 . wral (λ x7 . wbr (cv x6) (cv x7) (cv x5)wbr (cfv (cv x6) (cv x3)) (cfv (cv x7) (cv x3)) (cv x4)) (λ x7 . cdm (cuni (cv x1)))) (λ x6 . cdm (cuni (cv x1)))) (λ x5 . cv x1)) (λ x4 . cv x2)) (λ x3 . co (cdm (cuni (cv x2))) (cdm (cuni (cv x1))) cmap)))wceq ccfilu (cmpt (λ x1 . cuni (crn cust)) (λ x1 . crab (λ x2 . wral (λ x3 . wrex (λ x4 . wss (cxp (cv x4) (cv x4)) (cv x3)) (λ x4 . cv x2)) (λ x3 . cv x1)) (λ x2 . cfv (cdm (cuni (cv x1))) cfbas)))wceq ccusp (crab (λ x1 . wral (λ x2 . wcel (cv x2) (cfv (cfv (cv x1) cuss) ccfilu)wne (co (cfv (cv x1) ctopn) (cv x2) cflim) c0) (λ x2 . cfv (cfv (cv x1) cbs) cfil)) (λ x1 . cusp))wceq cxme (crab (λ x1 . wceq (cfv (cv x1) ctopn) (cfv (cres (cfv (cv x1) cds) (cxp (cfv (cv x1) cbs) (cfv (cv x1) cbs))) cmopn)) (λ x1 . ctps))wceq cmt (crab (λ x1 . wcel (cres (cfv (cv x1) cds) (cxp (cfv (cv x1) cbs) (cfv (cv x1) cbs))) (cfv (cfv (cv x1) cbs) cme)) (λ x1 . cxme))wceq ctmt (cmpt (λ x1 . cuni (crn cxmt)) (λ x1 . co (cpr (cop (cfv cnx cbs) (cdm (cdm (cv x1)))) (cop (cfv cnx cds) (cv x1))) (cop (cfv cnx cts) (cfv (cv x1) cmopn)) csts))wceq cnm (cmpt (λ x1 . cvv) (λ x1 . cmpt (λ x2 . cfv (cv x1) cbs) (λ x2 . co (cv x2) (cfv (cv x1) c0g) (cfv (cv x1) cds))))wceq cngp (crab (λ x1 . wss (ccom (cfv (cv x1) cnm) (cfv (cv x1) csg)) (cfv (cv x1) cds)) (λ x1 . cin cgrp cmt))wceq ctng (cmpt2 (λ x1 x2 . cvv) (λ x1 x2 . cvv) (λ x1 x2 . co (co (cv x1) (cop (cfv cnx cds) (ccom (cv x2) (cfv (cv x1) csg))) csts) (cop (cfv cnx cts) (cfv (ccom (cv x2) (cfv (cv x1) csg)) cmopn)) csts))x0)x0
type
prop
theory
SetMM
name
df_trg__df_tdrg__df_tlm__df_tvc__df_ust__df_utop__df_uss__df_usp__df_tus__df_ucn__df_cfilu__df_cusp__df_xms__df_ms__df_tms__df_nm__df_ngp__df_tng
proof
PUV1k..
Megalodon
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proofgold address
TMYos..
creator
36224 PrCmT../a6e41..
owner
36224 PrCmT../a6e41..
term root
de015..