Nominal proof certificates grouped in dependency order.

Certificates from NominalWPPReplayChunk015Compact001Part043.

noncomputable def NFChoice.DirectNominalPrf.WPPReplay.gIsocutstrictsegresndv (x y z v : SemanticCore.Var) (D R S E H : SemanticCore.Class) (hyp_isocutstrictsegresndv_1 : Nominal.NPrf (Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCwe D)) (hyp_isocutstrictsegresndv_2 : Nominal.NPrf (Compiler.CompactSourceSyntax.synWbr S Compiler.CompactSourceSyntax.synCwe E)) : Nominal.NPrf ((Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv y) D) (SemanticCore.Wff.classMem (SemanticCore.Class.cv v) E)) (SemanticCore.Wff.classMem (SemanticCore.Class.cv x) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv y)))))) (Compiler.CompactSourceSyntax.synWiso H (Compiler.CompactSourceSyntax.synCin R (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv y)))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv y)))))) (Compiler.CompactSourceSyntax.synCin S (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv v)))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv v)))))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv y)))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv v)))))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv z) (Compiler.CompactSourceSyntax.synCfv H (SemanticCore.Class.cv x)))).imp (Compiler.CompactSourceSyntax.synWiso (Compiler.CompactSourceSyntax.synCres H (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x))))) (Compiler.CompactSourceSyntax.synCin R (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))) (Compiler.CompactSourceSyntax.synCin S (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv z)))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv z)))))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv z))))))

Checked nominal proof certificate identified upstream as g_isocutstrictsegresndv.

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Certificates from NominalWPPReplayChunk015Compact001Part044.

noncomputable def NFChoice.DirectNominalPrf.WPPReplay.gWecutisocompatndv (x y v u : SemanticCore.Var) (D R S : SemanticCore.Class) (f g : SemanticCore.Var) (E : SemanticCore.Class) (hyp_wecutisocompatndv_1 : Nominal.NPrf (Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCwe D)) (hyp_wecutisocompatndv_2 : Nominal.NPrf (Compiler.CompactSourceSyntax.synWbr S Compiler.CompactSourceSyntax.synCwe E)) : Nominal.NPrf ((Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv x) D) (SemanticCore.Wff.classMem (SemanticCore.Class.cv y) D)) (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv u) E) (SemanticCore.Wff.classMem (SemanticCore.Class.cv v) E))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv x) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv y)))))) (Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWiso (SemanticCore.Class.cv f) (Compiler.CompactSourceSyntax.synCin R (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))) (Compiler.CompactSourceSyntax.synCin S (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u))))) (Compiler.CompactSourceSyntax.synWiso (SemanticCore.Class.cv g) (Compiler.CompactSourceSyntax.synCin R (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv y)))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv y)))))) (Compiler.CompactSourceSyntax.synCin S (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv v)))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv v)))))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv y)))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv v))))))).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv f) (Compiler.CompactSourceSyntax.synCres (SemanticCore.Class.cv g) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))))

Checked nominal proof certificate identified upstream as g_wecutisocompatndv.

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