Nominal proof certificates grouped in dependency order.

Certificates from NAR4C077C001Part017.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077SplitAlpha0006 (x : SemanticCore.Var) (F I : SemanticCore.Class) : Nominal.TAlphaWff [(nb077AlphaDummy153 F I, nb077AlphaDummy154 x), (nb077AlphaDummy151 F I, nb077AlphaDummy152 x), (nb077AlphaDummy140 F I, nb077AlphaDummy143 x), (nb077AlphaDummy139 F I, nb077AlphaDummy142 x), (nb077AlphaDummy145 F I, nb077AlphaDummy146 x), (nb077AlphaDummy061 F I, nb077AlphaDummy064 x), (nb077AlphaDummy060 F I, nb077AlphaDummy063 x), (nb077AlphaDummy059 F I, nb077AlphaDummy062 x), (nb077AlphaDummy065 F I, nb077AlphaDummy066 x), (nb077AlphaDummy057 F I, nb077AlphaDummy058 x F), (nb077AlphaDummy055 F I, nb077AlphaDummy056 x F), (nb077AlphaDummy016 F I, nb077AlphaDummy018 x F I), (nb077AlphaDummy015 F I, nb077AlphaDummy017 x F I), (nb077AlphaDummy013 F I, nb077AlphaDummy014 x F I), (nb077AlphaDummy011 F I, nb077AlphaDummy012 x F I), (nb077AlphaDummy001 F I, nb077AlphaDummy002 x F I), (nb077AlphaDummy004 F I, nb077AlphaDummy006 x F I), (nb077AlphaDummy003 F I, nb077AlphaDummy005 x F I)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy153 F I)) (SemanticCore.Class.cab (nb077AlphaDummy147 F I) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy148 F I) (SemanticCore.Class.cv (nb077AlphaDummy139 F I)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy147 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy148 F I))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy153 F I)) (SemanticCore.Class.cab (nb077AlphaDummy147 F I) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy148 F I) (SemanticCore.Class.cv (nb077AlphaDummy139 F I)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy147 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy148 F I))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy154 x)) (SemanticCore.Class.cab (nb077AlphaDummy149 x) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy150 x) (SemanticCore.Class.cv (nb077AlphaDummy142 x)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy149 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy150 x))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy154 x)) (SemanticCore.Class.cab (nb077AlphaDummy149 x) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy150 x) (SemanticCore.Class.cv (nb077AlphaDummy142 x)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy149 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy150 x))))))).neg)

Checked nominal proof certificate identified upstream as nb077_split_alpha_0006.

Equations

• One or more equations did not get rendered due to their size.

Certificates from NAR4C077C001Part018.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077SplitAlpha0007 (x : SemanticCore.Var) (F I : SemanticCore.Class) : Nominal.TAlphaWff [(nb077AlphaDummy181 F I, nb077AlphaDummy182 x), (nb077AlphaDummy179 F I, nb077AlphaDummy180 x), (nb077AlphaDummy148 F I, nb077AlphaDummy150 x), (nb077AlphaDummy147 F I, nb077AlphaDummy149 x), (nb077AlphaDummy177 F I, nb077AlphaDummy178 x), (nb077AlphaDummy151 F I, nb077AlphaDummy152 x), (nb077AlphaDummy140 F I, nb077AlphaDummy143 x), (nb077AlphaDummy139 F I, nb077AlphaDummy142 x), (nb077AlphaDummy145 F I, nb077AlphaDummy146 x), (nb077AlphaDummy061 F I, nb077AlphaDummy064 x), (nb077AlphaDummy060 F I, nb077AlphaDummy063 x), (nb077AlphaDummy059 F I, nb077AlphaDummy062 x), (nb077AlphaDummy065 F I, nb077AlphaDummy066 x), (nb077AlphaDummy057 F I, nb077AlphaDummy058 x F), (nb077AlphaDummy055 F I, nb077AlphaDummy056 x F), (nb077AlphaDummy016 F I, nb077AlphaDummy018 x F I), (nb077AlphaDummy015 F I, nb077AlphaDummy017 x F I), (nb077AlphaDummy013 F I, nb077AlphaDummy014 x F I), (nb077AlphaDummy011 F I, nb077AlphaDummy012 x F I), (nb077AlphaDummy001 F I, nb077AlphaDummy002 x F I), (nb077AlphaDummy004 F I, nb077AlphaDummy006 x F I), (nb077AlphaDummy003 F I, nb077AlphaDummy005 x F I)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy181 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy148 F I)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy181 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy148 F I)))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy182 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy150 x)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy182 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy150 x)))).neg)

Checked nominal proof certificate identified upstream as nb077_split_alpha_0007.

Equations

• One or more equations did not get rendered due to their size.

Certificates from NAR4C077C001Part019.

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_compact_fv_empty_0160 (F I : SemanticCore.Class) : nb077AlphaDummy141 F I ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_compact_fv_empty_0161 (x : SemanticCore.Var) : nb077AlphaDummy144 x ∉ ∅