Nominal proof certificates grouped in dependency order.

Certificates from NAR4C090C001Part039.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0015 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) : Nominal.TAlphaWff [(nb090AlphaDummy125 A, nb090AlphaDummy126 h), (nb090AlphaDummy094 A, nb090AlphaDummy096 h), (nb090AlphaDummy093 A, nb090AlphaDummy095 h), (nb090AlphaDummy123 A, nb090AlphaDummy124 h), (nb090AlphaDummy097 A, nb090AlphaDummy098 h), (nb090AlphaDummy051 A, nb090AlphaDummy054 h), (nb090AlphaDummy050 A, nb090AlphaDummy053 h), (nb090AlphaDummy049 A, nb090AlphaDummy052 h), (nb090AlphaDummy055 A, nb090AlphaDummy056 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy125 A)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy094 A))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy125 A)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy126 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy096 h))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy126 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0015.

Equations

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Certificates from NAR4C090C001Part040.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0016 (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), (nb090AlphaDummy051 A, nb090AlphaDummy054 h), (nb090AlphaDummy050 A, nb090AlphaDummy053 h), (nb090AlphaDummy049 A, nb090AlphaDummy052 h), (nb090AlphaDummy055 A, nb090AlphaDummy056 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_0016.

Equations

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Certificates from NAR4C090C001Part041.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0017 (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), (nb090AlphaDummy051 A, nb090AlphaDummy054 h), (nb090AlphaDummy050 A, nb090AlphaDummy053 h), (nb090AlphaDummy049 A, nb090AlphaDummy052 h), (nb090AlphaDummy055 A, nb090AlphaDummy056 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_0017.

Equations

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