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LeanPool.NFWeakPartition.Certificates.NAR4C076C001Block004

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C076C001Part010.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb076SplitAlpha0004 (g m n a b : SemanticCore.Var) (dv_a_b : a ≠ b) (dv_a_g : a ≠ g) :
Nominal.TAlphaWff [(nb076AlphaDummy087, nb076AlphaDummy088 g a b), (nb076AlphaDummy085, nb076AlphaDummy086 g a b), (nb076AlphaDummy002, g), (nb076AlphaDummy001, b), (nb076AlphaDummy000, a), (nb076AlphaDummy005, nb076AlphaDummy006 g m n a b), (nb076AlphaDummy004, n), (nb076AlphaDummy003, m), (nb076AlphaDummy007, nb076AlphaDummy008 g m n a b)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb076AlphaDummy087) (SemanticCore.Class.cab nb076AlphaDummy081 (Compiler.CompactSourceSyntax.synWrex nb076AlphaDummy082 (SemanticCore.Class.cv nb076AlphaDummy000) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb076AlphaDummy081) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb076AlphaDummy082)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb076AlphaDummy087) (SemanticCore.Class.cab nb076AlphaDummy081 (Compiler.CompactSourceSyntax.synWrex nb076AlphaDummy082 (SemanticCore.Class.cv nb076AlphaDummy000) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb076AlphaDummy081) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb076AlphaDummy082)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb076AlphaDummy088 g a b)) (SemanticCore.Class.cab (nb076AlphaDummy083 g a b) (Compiler.CompactSourceSyntax.synWrex (nb076AlphaDummy084 g a b) (SemanticCore.Class.cv a) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb076AlphaDummy083 g a b)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb076AlphaDummy084 g a b))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb076AlphaDummy088 g a b)) (SemanticCore.Class.cab (nb076AlphaDummy083 g a b) (Compiler.CompactSourceSyntax.synWrex (nb076AlphaDummy084 g a b) (SemanticCore.Class.cv a) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb076AlphaDummy083 g a b)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb076AlphaDummy084 g a b))))))).neg)

Checked nominal proof certificate identified upstream as nb076_split_alpha_0004.

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    Certificates from NAR4C076C001Part011.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb076SplitAlpha0005 (g m n a b : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb076AlphaDummy125, nb076AlphaDummy126 g b), (nb076AlphaDummy123, nb076AlphaDummy124 g b), (nb076AlphaDummy114, nb076AlphaDummy116 g b), (nb076AlphaDummy113, nb076AlphaDummy115 g b), (nb076AlphaDummy117, nb076AlphaDummy118 g b), (nb076AlphaDummy082, nb076AlphaDummy084 g a b), (nb076AlphaDummy081, nb076AlphaDummy083 g a b), (nb076AlphaDummy111, nb076AlphaDummy112 g a b), (nb076AlphaDummy085, nb076AlphaDummy086 g a b), (nb076AlphaDummy002, g), (nb076AlphaDummy001, b), (nb076AlphaDummy000, a), (nb076AlphaDummy005, nb076AlphaDummy006 g m n a b), (nb076AlphaDummy004, n), (nb076AlphaDummy003, m), (nb076AlphaDummy007, nb076AlphaDummy008 g m n a b)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb076AlphaDummy125) (SemanticCore.Class.cab nb076AlphaDummy119 (Compiler.CompactSourceSyntax.synWrex nb076AlphaDummy120 (SemanticCore.Class.cv nb076AlphaDummy113) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb076AlphaDummy119) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb076AlphaDummy120)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb076AlphaDummy125) (SemanticCore.Class.cab nb076AlphaDummy119 (Compiler.CompactSourceSyntax.synWrex nb076AlphaDummy120 (SemanticCore.Class.cv nb076AlphaDummy113) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb076AlphaDummy119) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb076AlphaDummy120)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb076AlphaDummy126 g b)) (SemanticCore.Class.cab (nb076AlphaDummy121 g b) (Compiler.CompactSourceSyntax.synWrex (nb076AlphaDummy122 g b) (SemanticCore.Class.cv (nb076AlphaDummy115 g b)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb076AlphaDummy121 g b)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb076AlphaDummy122 g b))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb076AlphaDummy126 g b)) (SemanticCore.Class.cab (nb076AlphaDummy121 g b) (Compiler.CompactSourceSyntax.synWrex (nb076AlphaDummy122 g b) (SemanticCore.Class.cv (nb076AlphaDummy115 g b)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb076AlphaDummy121 g b)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb076AlphaDummy122 g b))))))).neg)

    Checked nominal proof certificate identified upstream as nb076_split_alpha_0005.

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      Certificates from NAR4C076C001Part012.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb076SplitAlpha0006 (g m n a b : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb076AlphaDummy153, nb076AlphaDummy154 g b), (nb076AlphaDummy151, nb076AlphaDummy152 g b), (nb076AlphaDummy120, nb076AlphaDummy122 g b), (nb076AlphaDummy119, nb076AlphaDummy121 g b), (nb076AlphaDummy149, nb076AlphaDummy150 g b), (nb076AlphaDummy123, nb076AlphaDummy124 g b), (nb076AlphaDummy114, nb076AlphaDummy116 g b), (nb076AlphaDummy113, nb076AlphaDummy115 g b), (nb076AlphaDummy117, nb076AlphaDummy118 g b), (nb076AlphaDummy082, nb076AlphaDummy084 g a b), (nb076AlphaDummy081, nb076AlphaDummy083 g a b), (nb076AlphaDummy111, nb076AlphaDummy112 g a b), (nb076AlphaDummy085, nb076AlphaDummy086 g a b), (nb076AlphaDummy002, g), (nb076AlphaDummy001, b), (nb076AlphaDummy000, a), (nb076AlphaDummy005, nb076AlphaDummy006 g m n a b), (nb076AlphaDummy004, n), (nb076AlphaDummy003, m), (nb076AlphaDummy007, nb076AlphaDummy008 g m n a b)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb076AlphaDummy153) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb076AlphaDummy120))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb076AlphaDummy153) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb076AlphaDummy120))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb076AlphaDummy154 g b)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb076AlphaDummy122 g b)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb076AlphaDummy154 g b)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb076AlphaDummy122 g b)))).neg)

      Checked nominal proof certificate identified upstream as nb076_split_alpha_0006.

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