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Proofgold Proposition

∀ x0 : ο . (wceq csca (cslot c5)wceq cvsca (cslot c6)wceq cip (cslot c8)wceq cts (cslot c9)wceq cple (cslot (cdc c1 cc0))wceq coc (cslot (cdc c1 c1))wceq cds (cslot (cdc c1 c2))wceq cunif (cslot (cdc c1 c3))wceq chom (cslot (cdc c1 c4))wceq cco (cslot (cdc c1 c5))wceq crest (cmpt2 (λ x1 x2 . cvv) (λ x1 x2 . cvv) (λ x1 x2 . crn (cmpt (λ x3 . cv x1) (λ x3 . cin (cv x3) (cv x2)))))wceq ctopn (cmpt (λ x1 . cvv) (λ x1 . co (cfv (cv x1) cts) (cfv (cv x1) cbs) crest))wceq c0g (cmpt (λ x1 . cvv) (λ x1 . cio (λ x2 . wa (wcel (cv x2) (cfv (cv x1) cbs)) (wral (λ x3 . wa (wceq (co (cv x2) (cv x3) (cfv (cv x1) cplusg)) (cv x3)) (wceq (co (cv x3) (cv x2) (cfv (cv x1) cplusg)) (cv x3))) (λ x3 . cfv (cv x1) cbs)))))wceq cgsu (cmpt2 (λ x1 x2 . cvv) (λ x1 x2 . cvv) (λ x1 x2 . csb (crab (λ x3 . wral (λ x4 . wa (wceq (co (cv x3) (cv x4) (cfv (cv x1) cplusg)) (cv x4)) (wceq (co (cv x4) (cv x3) (cfv (cv x1) cplusg)) (cv x4))) (λ x4 . cfv (cv x1) cbs)) (λ x3 . cfv (cv x1) cbs)) (λ x3 . cif (wss (crn (cv x2)) (cv x3)) (cfv (cv x1) c0g) (cif (wcel (cdm (cv x2)) (crn cfz)) (cio (λ x4 . wex (λ x5 . wrex (λ x6 . wa (wceq (cdm (cv x2)) (co (cv x5) (cv x6) cfz)) (wceq (cv x4) (cfv (cv x6) (cseq (cfv (cv x1) cplusg) (cv x2) (cv x5))))) (λ x6 . cfv (cv x5) cuz)))) (cio (λ x4 . wex (λ x5 . wsbc (λ x6 . wa (wf1o (co c1 (cfv (cv x6) chash) cfz) (cv x6) (cv x5)) (wceq (cv x4) (cfv (cfv (cv x6) chash) (cseq (cfv (cv x1) cplusg) (ccom (cv x2) (cv x5)) c1)))) (cima (ccnv (cv x2)) (cdif cvv (cv x3))))))))))wceq ctg (cmpt (λ x1 . cvv) (λ x1 . cab (λ x2 . wss (cv x2) (cuni (cin (cv x1) (cpw (cv x2)))))))wceq cpt (cmpt (λ x1 . cvv) (λ x1 . cfv (cab (λ x2 . wex (λ x3 . wa (w3a (wfn (cv x3) (cdm (cv x1))) (wral (λ x4 . wcel (cfv (cv x4) (cv x3)) (cfv (cv x4) (cv x1))) (λ x4 . cdm (cv x1))) (wrex (λ x4 . wral (λ x5 . wceq (cfv (cv x5) (cv x3)) (cuni (cfv (cv x5) (cv x1)))) (λ x5 . cdif (cdm (cv x1)) (cv x4))) (λ x4 . cfn))) (wceq (cv x2) (cixp (λ x4 . cdm (cv x1)) (λ x4 . cfv (cv x4) (cv x3))))))) ctg))wceq cprds (cmpt2 (λ x1 x2 . cvv) (λ x1 x2 . cvv) (λ x1 x2 . csb (cixp (λ x3 . cdm (cv x2)) (λ x3 . cfv (cfv (cv x3) (cv x2)) cbs)) (λ x3 . csb (cmpt2 (λ x4 x5 . cv x3) (λ x4 x5 . cv x3) (λ x4 x5 . cixp (λ x6 . cdm (cv x2)) (λ x6 . co (cfv (cv x6) (cv x4)) (cfv (cv x6) (cv x5)) (cfv (cfv (cv x6) (cv x2)) chom)))) (λ x4 . cun (cun (ctp (cop (cfv cnx cbs) (cv x3)) (cop (cfv cnx cplusg) (cmpt2 (λ x5 x6 . cv x3) (λ x5 x6 . cv x3) (λ x5 x6 . cmpt (λ x7 . cdm (cv x2)) (λ x7 . co (cfv (cv x7) (cv x5)) (cfv (cv x7) (cv x6)) (cfv (cfv (cv x7) (cv x2)) cplusg))))) (cop (cfv cnx cmulr) (cmpt2 (λ x5 x6 . cv x3) (λ x5 x6 . cv x3) (λ x5 x6 . cmpt (λ x7 . cdm (cv x2)) (λ x7 . co (cfv (cv x7) (cv x5)) (cfv (cv x7) (cv x6)) (cfv (cfv (cv x7) (cv x2)) cmulr)))))) (ctp (cop (cfv cnx csca) (cv x1)) (cop (cfv cnx cvsca) (cmpt2 (λ x5 x6 . cfv (cv x1) cbs) (λ x5 x6 . cv x3) (λ x5 x6 . cmpt (λ x7 . cdm (cv x2)) (λ x7 . co (cv x5) (cfv (cv x7) (cv x6)) (cfv (cfv (cv x7) (cv x2)) cvsca))))) (cop (cfv cnx cip) (cmpt2 (λ x5 x6 . cv x3) (λ x5 x6 . cv x3) (λ x5 x6 . co (cv x1) (cmpt (λ x7 . cdm (cv x2)) (λ x7 . co (cfv (cv x7) (cv x5)) (cfv (cv x7) (cv x6)) (cfv (cfv (cv x7) (cv x2)) cip))) cgsu))))) (cun (ctp (cop (cfv cnx cts) (cfv (ccom ctopn (cv x2)) cpt)) (cop (cfv cnx cple) (copab (λ x5 x6 . wa (wss (cpr (cv x5) (cv x6)) (cv x3)) (wral (λ x7 . wbr (cfv (cv x7) (cv x5)) (cfv (cv x7) (cv x6)) (cfv (cfv (cv x7) (cv x2)) cple)) (λ x7 . cdm (cv x2)))))) (cop (cfv cnx cds) (cmpt2 (λ x5 x6 . cv x3) (λ x5 x6 . cv x3) (λ x5 x6 . csup (cun (crn (cmpt (λ x7 . cdm (cv x2)) (λ x7 . co (cfv (cv x7) (cv x5)) (cfv (cv x7) (cv x6)) (cfv (cfv (cv x7) (cv x2)) cds)))) (csn cc0)) cxr clt)))) (cpr (cop (cfv cnx chom) (cv x4)) (cop (cfv cnx cco) (cmpt2 (λ x5 x6 . cxp (cv x3) (cv x3)) (λ x5 x6 . cv x3) (λ x5 x6 . cmpt2 (λ x7 x8 . co (cv x6) (cfv (cv x5) c2nd) (cv x4)) (λ x7 x8 . cfv (cv x5) (cv x4)) (λ x7 x8 . cmpt (λ x9 . cdm (cv x2)) (λ x9 . co (cfv (cv x9) (cv x7)) (cfv (cv x9) (cv x8)) (co (cop (cfv (cv x9) (cfv (cv x5) c1st)) (cfv (cv x9) (cfv (cv x5) c2nd))) (cfv (cv x9) (cv x6)) (cfv (cfv (cv x9) (cv x2)) cco)))))))))))))wceq cpws (cmpt2 (λ x1 x2 . cvv) (λ x1 x2 . cvv) (λ x1 x2 . co (cfv (cv x1) csca) (cxp (cv x2) (csn (cv x1))) cprds))x0)x0
type
prop
theory
SetMM
name
df_sca__df_vsca__df_ip__df_tset__df_ple__df_ocomp__df_ds__df_unif__df_hom__df_cco__df_rest__df_topn__df_0g__df_gsum__df_topgen__df_pt__df_prds__df_pws
proof
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proofgold address
TMLih..
creator
36224 PrCmT../a6429..
owner
36224 PrCmT../a6429..
term root
e9747..