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Proofgold Proposition

∀ x0 : ο . (wceq ccnp (cmpt2 (λ x1 x2 . ctop) (λ x1 x2 . ctop) (λ x1 x2 . cmpt (λ x3 . cuni (cv x1)) (λ x3 . crab (λ x4 . wral (λ x5 . wcel (cfv (cv x3) (cv x4)) (cv x5)wrex (λ x6 . wa (wcel (cv x3) (cv x6)) (wss (cima (cv x4) (cv x6)) (cv x5))) (λ x6 . cv x1)) (λ x5 . cv x2)) (λ x4 . co (cuni (cv x2)) (cuni (cv x1)) cmap))))wceq clm (cmpt (λ x1 . ctop) (λ x1 . copab (λ x2 x3 . w3a (wcel (cv x2) (co (cuni (cv x1)) cc cpm)) (wcel (cv x3) (cuni (cv x1))) (wral (λ x4 . wcel (cv x3) (cv x4)wrex (λ x5 . wf (cv x5) (cv x4) (cres (cv x2) (cv x5))) (λ x5 . crn cuz)) (λ x4 . cv x1)))))wceq ct0 (crab (λ x1 . wral (λ x2 . wral (λ x3 . wral (λ x4 . wb (wcel (cv x2) (cv x4)) (wcel (cv x3) (cv x4))) (λ x4 . cv x1)wceq (cv x2) (cv x3)) (λ x3 . cuni (cv x1))) (λ x2 . cuni (cv x1))) (λ x1 . ctop))wceq ct1 (crab (λ x1 . wral (λ x2 . wcel (csn (cv x2)) (cfv (cv x1) ccld)) (λ x2 . cuni (cv x1))) (λ x1 . ctop))wceq cha (crab (λ x1 . wral (λ x2 . wral (λ x3 . wne (cv x2) (cv x3)wrex (λ x4 . wrex (λ x5 . w3a (wcel (cv x2) (cv x4)) (wcel (cv x3) (cv x5)) (wceq (cin (cv x4) (cv x5)) c0)) (λ x5 . cv x1)) (λ x4 . cv x1)) (λ x3 . cuni (cv x1))) (λ x2 . cuni (cv x1))) (λ x1 . ctop))wceq creg (crab (λ x1 . wral (λ x2 . wral (λ x3 . wrex (λ x4 . wa (wcel (cv x3) (cv x4)) (wss (cfv (cv x4) (cfv (cv x1) ccl)) (cv x2))) (λ x4 . cv x1)) (λ x3 . cv x2)) (λ x2 . cv x1)) (λ x1 . ctop))wceq cnrm (crab (λ x1 . wral (λ x2 . wral (λ x3 . wrex (λ x4 . wa (wss (cv x3) (cv x4)) (wss (cfv (cv x4) (cfv (cv x1) ccl)) (cv x2))) (λ x4 . cv x1)) (λ x3 . cin (cfv (cv x1) ccld) (cpw (cv x2)))) (λ x2 . cv x1)) (λ x1 . ctop))wceq ccnrm (crab (λ x1 . wral (λ x2 . wcel (co (cv x1) (cv x2) crest) cnrm) (λ x2 . cpw (cuni (cv x1)))) (λ x1 . ctop))wceq cpnrm (crab (λ x1 . wss (cfv (cv x1) ccld) (crn (cmpt (λ x2 . co (cv x1) cn cmap) (λ x2 . cint (crn (cv x2)))))) (λ x1 . cnrm))wceq ccmp (crab (λ x1 . wral (λ x2 . wceq (cuni (cv x1)) (cuni (cv x2))wrex (λ x3 . wceq (cuni (cv x1)) (cuni (cv x3))) (λ x3 . cin (cpw (cv x2)) cfn)) (λ x2 . cpw (cv x1))) (λ x1 . ctop))wceq cconn (crab (λ x1 . wceq (cin (cv x1) (cfv (cv x1) ccld)) (cpr c0 (cuni (cv x1)))) (λ x1 . ctop))wceq c1stc (crab (λ x1 . wral (λ x2 . wrex (λ x3 . wa (wbr (cv x3) com cdom) (wral (λ x4 . wcel (cv x2) (cv x4)wcel (cv x2) (cuni (cin (cv x3) (cpw (cv x4))))) (λ x4 . cv x1))) (λ x3 . cpw (cv x1))) (λ x2 . cuni (cv x1))) (λ x1 . ctop))wceq c2ndc (cab (λ x1 . wrex (λ x2 . wa (wbr (cv x2) com cdom) (wceq (cfv (cv x2) ctg) (cv x1))) (λ x2 . ctb)))(∀ x1 : ι → ο . wceq (clly x1) (crab (λ x2 . wral (λ x3 . wral (λ x4 . wrex (λ x5 . wa (wcel (cv x4) (cv x5)) (wcel (co (cv x2) (cv x5) crest) x1)) (λ x5 . cin (cv x2) (cpw (cv x3)))) (λ x4 . cv x3)) (λ x3 . cv x2)) (λ x2 . ctop)))(∀ x1 : ι → ο . wceq (cnlly x1) (crab (λ x2 . wral (λ x3 . wral (λ x4 . wrex (λ x5 . wcel (co (cv x2) (cv x5) crest) x1) (λ x5 . cin (cfv (csn (cv x4)) (cfv (cv x2) cnei)) (cpw (cv x3)))) (λ x4 . cv x3)) (λ x3 . cv x2)) (λ x2 . ctop)))wceq cref (copab (λ x1 x2 . wa (wceq (cuni (cv x2)) (cuni (cv x1))) (wral (λ x3 . wrex (λ x4 . wss (cv x3) (cv x4)) (λ x4 . cv x2)) (λ x3 . cv x1))))wceq cptfin (cab (λ x1 . wral (λ x2 . wcel (crab (λ x3 . wcel (cv x2) (cv x3)) (λ x3 . cv x1)) cfn) (λ x2 . cuni (cv x1))))wceq clocfin (cmpt (λ x1 . ctop) (λ x1 . cab (λ x2 . wa (wceq (cuni (cv x1)) (cuni (cv x2))) (wral (λ x3 . wrex (λ x4 . wa (wcel (cv x3) (cv x4)) (wcel (crab (λ x5 . wne (cin (cv x5) (cv x4)) c0) (λ x5 . cv x2)) cfn)) (λ x4 . cv x1)) (λ x3 . cuni (cv x1))))))x0)x0
type
prop
theory
SetMM
name
df_cnp__df_lm__df_t0__df_t1__df_haus__df_reg__df_nrm__df_cnrm__df_pnrm__df_cmp__df_conn__df_1stc__df_2ndc__df_lly__df_nlly__df_ref__df_ptfin__df_locfin
proof
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proofgold address
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