Nominal proof certificates grouped in dependency order.

Certificates from NAR4C090C001Part095.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0073 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) : Nominal.TAlphaWff [(nb090AlphaDummy141 A, nb090AlphaDummy142 h), (nb090AlphaDummy139 A, nb090AlphaDummy140 h), (nb090AlphaDummy130 A, nb090AlphaDummy132 h), (nb090AlphaDummy129 A, nb090AlphaDummy131 h), (nb090AlphaDummy133 A, nb090AlphaDummy134 h), (nb090AlphaDummy425 A, nb090AlphaDummy428 h), (nb090AlphaDummy424 A, nb090AlphaDummy427 h), (nb090AlphaDummy423 A, nb090AlphaDummy426 h), (nb090AlphaDummy429 A, nb090AlphaDummy430 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy141 A)) (SemanticCore.Class.cab (nb090AlphaDummy135 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy136 A) (SemanticCore.Class.cv (nb090AlphaDummy129 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy135 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy136 A))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy141 A)) (SemanticCore.Class.cab (nb090AlphaDummy135 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy136 A) (SemanticCore.Class.cv (nb090AlphaDummy129 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy135 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy136 A))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy142 h)) (SemanticCore.Class.cab (nb090AlphaDummy137 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy138 h) (SemanticCore.Class.cv (nb090AlphaDummy131 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy137 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy138 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy142 h)) (SemanticCore.Class.cab (nb090AlphaDummy137 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy138 h) (SemanticCore.Class.cv (nb090AlphaDummy131 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy137 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy138 h))))))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0073.

Equations

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Certificates from NAR4C090C001Part096.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0074 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) : Nominal.TAlphaWff [(nb090AlphaDummy169 A, nb090AlphaDummy170 h), (nb090AlphaDummy167 A, nb090AlphaDummy168 h), (nb090AlphaDummy136 A, nb090AlphaDummy138 h), (nb090AlphaDummy135 A, nb090AlphaDummy137 h), (nb090AlphaDummy165 A, nb090AlphaDummy166 h), (nb090AlphaDummy139 A, nb090AlphaDummy140 h), (nb090AlphaDummy130 A, nb090AlphaDummy132 h), (nb090AlphaDummy129 A, nb090AlphaDummy131 h), (nb090AlphaDummy133 A, nb090AlphaDummy134 h), (nb090AlphaDummy425 A, nb090AlphaDummy428 h), (nb090AlphaDummy424 A, nb090AlphaDummy427 h), (nb090AlphaDummy423 A, nb090AlphaDummy426 h), (nb090AlphaDummy429 A, nb090AlphaDummy430 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy169 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy136 A)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy169 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy136 A)))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy170 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy138 h)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy170 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy138 h)))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0074.

Equations

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Certificates from NAR4C090C001Part097.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0075 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) : Nominal.TAlphaWff [(nb090AlphaDummy177 A, nb090AlphaDummy178 h), (nb090AlphaDummy175 A, nb090AlphaDummy176 h), (nb090AlphaDummy130 A, nb090AlphaDummy132 h), (nb090AlphaDummy129 A, nb090AlphaDummy131 h), (nb090AlphaDummy133 A, nb090AlphaDummy134 h), (nb090AlphaDummy425 A, nb090AlphaDummy428 h), (nb090AlphaDummy424 A, nb090AlphaDummy427 h), (nb090AlphaDummy423 A, nb090AlphaDummy426 h), (nb090AlphaDummy429 A, nb090AlphaDummy430 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy177 A)) (SemanticCore.Class.cab (nb090AlphaDummy171 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy172 A) (SemanticCore.Class.cv (nb090AlphaDummy130 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy171 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy172 A))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy177 A)) (SemanticCore.Class.cab (nb090AlphaDummy171 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy172 A) (SemanticCore.Class.cv (nb090AlphaDummy130 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy171 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy172 A))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy178 h)) (SemanticCore.Class.cab (nb090AlphaDummy173 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy174 h) (SemanticCore.Class.cv (nb090AlphaDummy132 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy173 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy174 h))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy178 h)) (SemanticCore.Class.cab (nb090AlphaDummy173 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy174 h) (SemanticCore.Class.cv (nb090AlphaDummy132 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy173 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy174 h))))))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0075.

Equations

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