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Proofgold Proposition

∀ x0 : ο . (wceq csx (cmpt2 (λ x1 x2 . cvv) (λ x1 x2 . cvv) (λ x1 x2 . cfv (crn (cmpt2 (λ x3 x4 . cv x1) (λ x3 x4 . cv x2) (λ x3 x4 . cxp (cv x3) (cv x4)))) csigagen))wceq cmeas (cmpt (λ x1 . cuni (crn csiga)) (λ x1 . cab (λ x2 . w3a (wf (cv x1) (co cc0 cpnf cicc) (cv x2)) (wceq (cfv c0 (cv x2)) cc0) (wral (λ x3 . wa (wbr (cv x3) com cdom) (wdisj (λ x4 . cv x3) cv)wceq (cfv (cuni (cv x3)) (cv x2)) (cesum (λ x4 . cv x3) (λ x4 . cfv (cv x4) (cv x2)))) (λ x3 . cpw (cv x1))))))wceq cdde (cmpt (λ x1 . cpw cr) (λ x1 . cif (wcel cc0 (cv x1)) c1 cc0))wceq cae (copab (λ x1 x2 . wceq (cfv (cdif (cuni (cdm (cv x2))) (cv x1)) (cv x2)) cc0))wceq cfae (cmpt2 (λ x1 x2 . cvv) (λ x1 x2 . cuni (crn cmeas)) (λ x1 x2 . copab (λ x3 x4 . wa (wa (wcel (cv x3) (co (cdm (cv x1)) (cuni (cdm (cv x2))) cmap)) (wcel (cv x4) (co (cdm (cv x1)) (cuni (cdm (cv x2))) cmap))) (wbr (crab (λ x5 . wbr (cfv (cv x5) (cv x3)) (cfv (cv x5) (cv x4)) (cv x1)) (λ x5 . cuni (cdm (cv x2)))) (cv x2) cae))))wceq cmbfm (cmpt2 (λ x1 x2 . cuni (crn csiga)) (λ x1 x2 . cuni (crn csiga)) (λ x1 x2 . crab (λ x3 . wral (λ x4 . wcel (cima (ccnv (cv x3)) (cv x4)) (cv x1)) (λ x4 . cv x2)) (λ x3 . co (cuni (cv x2)) (cuni (cv x1)) cmap)))wceq coms (cmpt (λ x1 . cvv) (λ x1 . cmpt (λ x2 . cpw (cuni (cdm (cv x1)))) (λ x2 . cinf (crn (cmpt (λ x3 . crab (λ x4 . wa (wss (cv x2) (cuni (cv x4))) (wbr (cv x4) com cdom)) (λ x4 . cpw (cdm (cv x1)))) (λ x3 . cesum (λ x4 . cv x3) (λ x4 . cfv (cv x4) (cv x1))))) (co cc0 cpnf cicc) clt)))wceq ccarsg (cmpt (λ x1 . cvv) (λ x1 . crab (λ x2 . wral (λ x3 . wceq (co (cfv (cin (cv x3) (cv x2)) (cv x1)) (cfv (cdif (cv x3) (cv x2)) (cv x1)) cxad) (cfv (cv x3) (cv x1))) (λ x3 . cpw (cuni (cdm (cv x1))))) (λ x2 . cpw (cuni (cdm (cv x1))))))wceq csitg (cmpt2 (λ x1 x2 . cvv) (λ x1 x2 . cuni (crn cmeas)) (λ x1 x2 . cmpt (λ x3 . crab (λ x4 . wa (wcel (crn (cv x4)) cfn) (wral (λ x5 . wcel (cfv (cima (ccnv (cv x4)) (csn (cv x5))) (cv x2)) (co cc0 cpnf cico)) (λ x5 . cdif (crn (cv x4)) (csn (cfv (cv x1) c0g))))) (λ x4 . co (cdm (cv x2)) (cfv (cfv (cv x1) ctopn) csigagen) cmbfm)) (λ x3 . co (cv x1) (cmpt (λ x4 . cdif (crn (cv x3)) (csn (cfv (cv x1) c0g))) (λ x4 . co (cfv (cfv (cima (ccnv (cv x3)) (csn (cv x4))) (cv x2)) (cfv (cfv (cv x1) csca) crrh)) (cv x4) (cfv (cv x1) cvsca))) cgsu)))wceq csitm (cmpt2 (λ x1 x2 . cvv) (λ x1 x2 . cuni (crn cmeas)) (λ x1 x2 . cmpt2 (λ x3 x4 . cdm (co (cv x1) (cv x2) csitg)) (λ x3 x4 . cdm (co (cv x1) (cv x2) csitg)) (λ x3 x4 . cfv (co (cv x3) (cv x4) (cof (cfv (cv x1) cds))) (co (co cxrs (co cc0 cpnf cicc) cress) (cv x2) csitg))))wceq citgm (cmpt2 (λ x1 x2 . cvv) (λ x1 x2 . cuni (crn cmeas)) (λ x1 x2 . cfv (co (cv x1) (cv x2) csitg) (co (cfv (co (cv x1) (cv x2) csitm) cmetu) (cfv (cv x1) cuss) ccnext)))wceq csseq (cmpt2 (λ x1 x2 . cvv) (λ x1 x2 . cvv) (λ x1 x2 . cun (cv x1) (ccom clsw (cseq (cmpt2 (λ x3 x4 . cvv) (λ x3 x4 . cvv) (λ x3 x4 . co (cv x3) (cs1 (cfv (cv x3) (cv x2))) cconcat)) (cxp cn0 (csn (co (cv x1) (cs1 (cfv (cv x1) (cv x2))) cconcat))) (cfv (cv x1) chash)))))wceq cfib (co (cs2 cc0 c1) (cmpt (λ x1 . cin (cword cn0) (cima (ccnv chash) (cfv c2 cuz))) (λ x1 . co (cfv (co (cfv (cv x1) chash) c2 cmin) (cv x1)) (cfv (co (cfv (cv x1) chash) c1 cmin) (cv x1)) caddc)) csseq)wceq cprb (crab (λ x1 . wceq (cfv (cuni (cdm (cv x1))) (cv x1)) c1) (λ x1 . cuni (crn cmeas)))wceq ccprob (cmpt (λ x1 . cprb) (λ x1 . cmpt2 (λ x2 x3 . cdm (cv x1)) (λ x2 x3 . cdm (cv x1)) (λ x2 x3 . co (cfv (cin (cv x2) (cv x3)) (cv x1)) (cfv (cv x3) (cv x1)) cdiv)))wceq crrv (cmpt (λ x1 . cprb) (λ x1 . co (cdm (cv x1)) cbrsiga cmbfm))(∀ x1 : ι → ο . wceq (corvc x1) (cmpt2 (λ x2 x3 . cab (λ x4 . wfun (cv x4))) (λ x2 x3 . cvv) (λ x2 x3 . cima (ccnv (cv x2)) (cab (λ x4 . wbr (cv x4) (cv x3) x1)))))wceq crepr (cmpt (λ x1 . cn0) (λ x1 . cmpt2 (λ x2 x3 . cpw cn) (λ x2 x3 . cz) (λ x2 x3 . crab (λ x4 . wceq (csu (co cc0 (cv x1) cfzo) (λ x5 . cfv (cv x5) (cv x4))) (cv x3)) (λ x4 . co (cv x2) (co cc0 (cv x1) cfzo) cmap))))x0)x0
type
prop
theory
SetMM
name
df_sx__df_meas__df_dde__df_ae__df_fae__df_mbfm__df_oms__df_carsg__df_sitg__df_sitm__df_itgm__df_sseq__df_fib__df_prob__df_cndprob__df_rrv__df_orvc__df_repr
proof
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TMb44..
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36224 PrCmT../716ec..
owner
36224 PrCmT../716ec..
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