Nominal proof certificates grouped in dependency order.

Certificates from NAR4C065C001Part004.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb065SplitAlpha0000 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb065AlphaDummy022, nb065AlphaDummy025 r a), (nb065AlphaDummy021, nb065AlphaDummy024 r a), (nb065AlphaDummy020, nb065AlphaDummy023 r a), (nb065AlphaDummy018, nb065AlphaDummy019 r a), (nb065AlphaDummy014, nb065AlphaDummy016 r a), (nb065AlphaDummy015, nb065AlphaDummy017 r a), (nb065AlphaDummy007, nb065AlphaDummy009 r a), (nb065AlphaDummy006, nb065AlphaDummy008 r a), (nb065AlphaDummy012, nb065AlphaDummy013 r a), (nb065AlphaDummy010, nb065AlphaDummy011 r a), (nb065AlphaDummy000, a), (nb065AlphaDummy001, r), (nb065AlphaDummy004, nb065AlphaDummy005 x y r a)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb065AlphaDummy021) (SemanticCore.Class.cv nb065AlphaDummy022)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb065AlphaDummy020) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb065AlphaDummy021) (SemanticCore.Class.cv nb065AlphaDummy022))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb065AlphaDummy024 r a)) (SemanticCore.Class.cv (nb065AlphaDummy025 r a))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb065AlphaDummy023 r a)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb065AlphaDummy024 r a)) (SemanticCore.Class.cv (nb065AlphaDummy025 r a)))).neg)

Checked nominal proof certificate identified upstream as nb065_split_alpha_0000.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb065SplitAlpha0001 (x y r a : SemanticCore.Var) (dv_a_r : a ≠ r) : Nominal.TAlphaWff [(nb065AlphaDummy007, nb065AlphaDummy009 r a), (nb065AlphaDummy006, nb065AlphaDummy008 r a), (nb065AlphaDummy012, nb065AlphaDummy013 r a), (nb065AlphaDummy010, nb065AlphaDummy011 r a), (nb065AlphaDummy000, a), (nb065AlphaDummy001, r), (nb065AlphaDummy004, nb065AlphaDummy005 x y r a)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb065AlphaDummy007) (SemanticCore.Class.cv nb065AlphaDummy001)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb065AlphaDummy006) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb065AlphaDummy007))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb065AlphaDummy009 r a)) (SemanticCore.Class.cv r)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb065AlphaDummy008 r a)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb065AlphaDummy009 r a)))).neg)

Checked nominal proof certificate identified upstream as nb065_split_alpha_0001.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb065SplitAlpha0002 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb065AlphaDummy022, nb065AlphaDummy025 r a), (nb065AlphaDummy021, nb065AlphaDummy024 r a), (nb065AlphaDummy020, nb065AlphaDummy023 r a), (nb065AlphaDummy018, nb065AlphaDummy019 r a), (nb065AlphaDummy014, nb065AlphaDummy016 r a), (nb065AlphaDummy015, nb065AlphaDummy017 r a), (nb065AlphaDummy040, nb065AlphaDummy041 r a), (nb065AlphaDummy038, nb065AlphaDummy039 r a), (nb065AlphaDummy007, nb065AlphaDummy009 r a), (nb065AlphaDummy006, nb065AlphaDummy008 r a), (nb065AlphaDummy036, nb065AlphaDummy037 r a), (nb065AlphaDummy010, nb065AlphaDummy011 r a), (nb065AlphaDummy000, a), (nb065AlphaDummy001, r), (nb065AlphaDummy004, nb065AlphaDummy005 x y r a)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb065AlphaDummy021) (SemanticCore.Class.cv nb065AlphaDummy022)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb065AlphaDummy020) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb065AlphaDummy021) (SemanticCore.Class.cv nb065AlphaDummy022))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb065AlphaDummy024 r a)) (SemanticCore.Class.cv (nb065AlphaDummy025 r a))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb065AlphaDummy023 r a)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb065AlphaDummy024 r a)) (SemanticCore.Class.cv (nb065AlphaDummy025 r a)))).neg)

Checked nominal proof certificate identified upstream as nb065_split_alpha_0002.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb065SplitAlpha0003 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb065AlphaDummy040, nb065AlphaDummy041 r a), (nb065AlphaDummy038, nb065AlphaDummy039 r a), (nb065AlphaDummy007, nb065AlphaDummy009 r a), (nb065AlphaDummy006, nb065AlphaDummy008 r a), (nb065AlphaDummy036, nb065AlphaDummy037 r a), (nb065AlphaDummy010, nb065AlphaDummy011 r a), (nb065AlphaDummy000, a), (nb065AlphaDummy001, r), (nb065AlphaDummy004, nb065AlphaDummy005 x y r a)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb065AlphaDummy040) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb065AlphaDummy007))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb065AlphaDummy040) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb065AlphaDummy007))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb065AlphaDummy041 r a)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb065AlphaDummy009 r a)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb065AlphaDummy041 r a)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb065AlphaDummy009 r a)))).neg)

Checked nominal proof certificate identified upstream as nb065_split_alpha_0003.

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Certificates from NAR4C065C001Part005.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb065SplitAlpha0004 (x y r a : SemanticCore.Var) (dv_a_r : a ≠ r) : Nominal.TAlphaWff [(nb065AlphaDummy000, a), (nb065AlphaDummy001, r), (nb065AlphaDummy004, nb065AlphaDummy005 x y r a)] (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb065AlphaDummy004) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv nb065AlphaDummy001) (SemanticCore.Class.cv nb065AlphaDummy000))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb065AlphaDummy005 x y r a)) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv r) (SemanticCore.Class.cv a)))

Checked nominal proof certificate identified upstream as nb065_split_alpha_0004.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb065SplitAlpha0005 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb065AlphaDummy058, nb065AlphaDummy061 x y), (nb065AlphaDummy057, nb065AlphaDummy060 x y), (nb065AlphaDummy056, nb065AlphaDummy059 x y), (nb065AlphaDummy054, nb065AlphaDummy055 x y), (nb065AlphaDummy050, nb065AlphaDummy052 x y), (nb065AlphaDummy051, nb065AlphaDummy053 x y), (nb065AlphaDummy043, nb065AlphaDummy045 x y), (nb065AlphaDummy042, nb065AlphaDummy044 x y), (nb065AlphaDummy048, nb065AlphaDummy049 x y), (nb065AlphaDummy046, nb065AlphaDummy047 x y), (nb065AlphaDummy003, y), (nb065AlphaDummy002, x), (nb065AlphaDummy000, a), (nb065AlphaDummy001, r), (nb065AlphaDummy004, nb065AlphaDummy005 x y r a)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb065AlphaDummy057) (SemanticCore.Class.cv nb065AlphaDummy058)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb065AlphaDummy056) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb065AlphaDummy057) (SemanticCore.Class.cv nb065AlphaDummy058))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb065AlphaDummy060 x y)) (SemanticCore.Class.cv (nb065AlphaDummy061 x y))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb065AlphaDummy059 x y)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb065AlphaDummy060 x y)) (SemanticCore.Class.cv (nb065AlphaDummy061 x y)))).neg)

Checked nominal proof certificate identified upstream as nb065_split_alpha_0005.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb065SplitAlpha0006 (x y r a : SemanticCore.Var) (dv_x_y : x ≠ y) : Nominal.TAlphaWff [(nb065AlphaDummy043, nb065AlphaDummy045 x y), (nb065AlphaDummy042, nb065AlphaDummy044 x y), (nb065AlphaDummy048, nb065AlphaDummy049 x y), (nb065AlphaDummy046, nb065AlphaDummy047 x y), (nb065AlphaDummy003, y), (nb065AlphaDummy002, x), (nb065AlphaDummy000, a), (nb065AlphaDummy001, r), (nb065AlphaDummy004, nb065AlphaDummy005 x y r a)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb065AlphaDummy043) (SemanticCore.Class.cv nb065AlphaDummy002)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb065AlphaDummy042) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb065AlphaDummy043))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb065AlphaDummy045 x y)) (SemanticCore.Class.cv x)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb065AlphaDummy044 x y)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb065AlphaDummy045 x y)))).neg)

Checked nominal proof certificate identified upstream as nb065_split_alpha_0006.

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Certificates from NAR4C065C001Part006.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb065SplitAlpha0007 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb065AlphaDummy058, nb065AlphaDummy061 x y), (nb065AlphaDummy057, nb065AlphaDummy060 x y), (nb065AlphaDummy056, nb065AlphaDummy059 x y), (nb065AlphaDummy054, nb065AlphaDummy055 x y), (nb065AlphaDummy050, nb065AlphaDummy052 x y), (nb065AlphaDummy051, nb065AlphaDummy053 x y), (nb065AlphaDummy076, nb065AlphaDummy077 x y), (nb065AlphaDummy074, nb065AlphaDummy075 x y), (nb065AlphaDummy043, nb065AlphaDummy045 x y), (nb065AlphaDummy042, nb065AlphaDummy044 x y), (nb065AlphaDummy072, nb065AlphaDummy073 x y), (nb065AlphaDummy046, nb065AlphaDummy047 x y), (nb065AlphaDummy003, y), (nb065AlphaDummy002, x), (nb065AlphaDummy000, a), (nb065AlphaDummy001, r), (nb065AlphaDummy004, nb065AlphaDummy005 x y r a)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb065AlphaDummy057) (SemanticCore.Class.cv nb065AlphaDummy058)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb065AlphaDummy056) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb065AlphaDummy057) (SemanticCore.Class.cv nb065AlphaDummy058))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb065AlphaDummy060 x y)) (SemanticCore.Class.cv (nb065AlphaDummy061 x y))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb065AlphaDummy059 x y)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb065AlphaDummy060 x y)) (SemanticCore.Class.cv (nb065AlphaDummy061 x y)))).neg)

Checked nominal proof certificate identified upstream as nb065_split_alpha_0007.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb065SplitAlpha0008 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb065AlphaDummy051, nb065AlphaDummy053 x y), (nb065AlphaDummy076, nb065AlphaDummy077 x y), (nb065AlphaDummy074, nb065AlphaDummy075 x y), (nb065AlphaDummy043, nb065AlphaDummy045 x y), (nb065AlphaDummy042, nb065AlphaDummy044 x y), (nb065AlphaDummy072, nb065AlphaDummy073 x y), (nb065AlphaDummy046, nb065AlphaDummy047 x y), (nb065AlphaDummy003, y), (nb065AlphaDummy002, x), (nb065AlphaDummy000, a), (nb065AlphaDummy001, r), (nb065AlphaDummy004, nb065AlphaDummy005 x y r a)] (SemanticCore.Wff.all nb065AlphaDummy050 (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb065AlphaDummy050) (SemanticCore.Class.cv nb065AlphaDummy043)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb065AlphaDummy051) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb065AlphaDummy050) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb065AlphaDummy050) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv nb065AlphaDummy050)))).neg) (SemanticCore.Wff.all (nb065AlphaDummy052 x y) (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb065AlphaDummy052 x y)) (SemanticCore.Class.cv (nb065AlphaDummy045 x y))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb065AlphaDummy053 x y)) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb065AlphaDummy052 x y)) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb065AlphaDummy052 x y)) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv (nb065AlphaDummy052 x y))))).neg)

Checked nominal proof certificate identified upstream as nb065_split_alpha_0008.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb065SplitAlpha0009 (x y r a : SemanticCore.Var) (dv_x_y : x ≠ y) : Nominal.TAlphaWff [(nb065AlphaDummy046, nb065AlphaDummy047 x y), (nb065AlphaDummy003, y), (nb065AlphaDummy002, x), (nb065AlphaDummy000, a), (nb065AlphaDummy001, r), (nb065AlphaDummy004, nb065AlphaDummy005 x y r a)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb065AlphaDummy046) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb065AlphaDummy042 (Compiler.CompactSourceSyntax.synWrex nb065AlphaDummy043 (SemanticCore.Class.cv nb065AlphaDummy002) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb065AlphaDummy042) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb065AlphaDummy043))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb065AlphaDummy046) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb065AlphaDummy042 (Compiler.CompactSourceSyntax.synWrex nb065AlphaDummy043 (SemanticCore.Class.cv nb065AlphaDummy003) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb065AlphaDummy042) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb065AlphaDummy043)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb065AlphaDummy047 x y)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb065AlphaDummy044 x y) (Compiler.CompactSourceSyntax.synWrex (nb065AlphaDummy045 x y) (SemanticCore.Class.cv x) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb065AlphaDummy044 x y)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb065AlphaDummy045 x y)))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb065AlphaDummy047 x y)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb065AlphaDummy044 x y) (Compiler.CompactSourceSyntax.synWrex (nb065AlphaDummy045 x y) (SemanticCore.Class.cv y) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb065AlphaDummy044 x y)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb065AlphaDummy045 x y))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg)

Checked nominal proof certificate identified upstream as nb065_split_alpha_0009.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb065SplitAlpha0010 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb065AlphaDummy094, nb065AlphaDummy097 x y), (nb065AlphaDummy093, nb065AlphaDummy096 x y), (nb065AlphaDummy092, nb065AlphaDummy095 x y), (nb065AlphaDummy090, nb065AlphaDummy091 x y), (nb065AlphaDummy086, nb065AlphaDummy088 x y), (nb065AlphaDummy087, nb065AlphaDummy089 x y), (nb065AlphaDummy079, nb065AlphaDummy081 x y), (nb065AlphaDummy078, nb065AlphaDummy080 x y), (nb065AlphaDummy084, nb065AlphaDummy085 x y), (nb065AlphaDummy082, nb065AlphaDummy083 x y), (nb065AlphaDummy003, y), (nb065AlphaDummy002, x), (nb065AlphaDummy000, a), (nb065AlphaDummy001, r), (nb065AlphaDummy004, nb065AlphaDummy005 x y r a)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb065AlphaDummy093) (SemanticCore.Class.cv nb065AlphaDummy094)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb065AlphaDummy092) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb065AlphaDummy093) (SemanticCore.Class.cv nb065AlphaDummy094))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb065AlphaDummy096 x y)) (SemanticCore.Class.cv (nb065AlphaDummy097 x y))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb065AlphaDummy095 x y)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb065AlphaDummy096 x y)) (SemanticCore.Class.cv (nb065AlphaDummy097 x y)))).neg)

Checked nominal proof certificate identified upstream as nb065_split_alpha_0010.

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Certificates from NAR4C065C001Part007.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb065SplitAlpha0011 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb065AlphaDummy079, nb065AlphaDummy081 x y), (nb065AlphaDummy078, nb065AlphaDummy080 x y), (nb065AlphaDummy084, nb065AlphaDummy085 x y), (nb065AlphaDummy082, nb065AlphaDummy083 x y), (nb065AlphaDummy003, y), (nb065AlphaDummy002, x), (nb065AlphaDummy000, a), (nb065AlphaDummy001, r), (nb065AlphaDummy004, nb065AlphaDummy005 x y r a)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb065AlphaDummy079) (SemanticCore.Class.cv nb065AlphaDummy003)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb065AlphaDummy078) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb065AlphaDummy079))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb065AlphaDummy081 x y)) (SemanticCore.Class.cv y)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb065AlphaDummy080 x y)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb065AlphaDummy081 x y)))).neg)

Checked nominal proof certificate identified upstream as nb065_split_alpha_0011.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb065SplitAlpha0012 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb065AlphaDummy094, nb065AlphaDummy097 x y), (nb065AlphaDummy093, nb065AlphaDummy096 x y), (nb065AlphaDummy092, nb065AlphaDummy095 x y), (nb065AlphaDummy090, nb065AlphaDummy091 x y), (nb065AlphaDummy086, nb065AlphaDummy088 x y), (nb065AlphaDummy087, nb065AlphaDummy089 x y), (nb065AlphaDummy112, nb065AlphaDummy113 x y), (nb065AlphaDummy110, nb065AlphaDummy111 x y), (nb065AlphaDummy079, nb065AlphaDummy081 x y), (nb065AlphaDummy078, nb065AlphaDummy080 x y), (nb065AlphaDummy108, nb065AlphaDummy109 x y), (nb065AlphaDummy082, nb065AlphaDummy083 x y), (nb065AlphaDummy003, y), (nb065AlphaDummy002, x), (nb065AlphaDummy000, a), (nb065AlphaDummy001, r), (nb065AlphaDummy004, nb065AlphaDummy005 x y r a)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb065AlphaDummy093) (SemanticCore.Class.cv nb065AlphaDummy094)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb065AlphaDummy092) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb065AlphaDummy093) (SemanticCore.Class.cv nb065AlphaDummy094))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb065AlphaDummy096 x y)) (SemanticCore.Class.cv (nb065AlphaDummy097 x y))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb065AlphaDummy095 x y)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb065AlphaDummy096 x y)) (SemanticCore.Class.cv (nb065AlphaDummy097 x y)))).neg)

Checked nominal proof certificate identified upstream as nb065_split_alpha_0012.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb065SplitAlpha0013 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb065AlphaDummy087, nb065AlphaDummy089 x y), (nb065AlphaDummy112, nb065AlphaDummy113 x y), (nb065AlphaDummy110, nb065AlphaDummy111 x y), (nb065AlphaDummy079, nb065AlphaDummy081 x y), (nb065AlphaDummy078, nb065AlphaDummy080 x y), (nb065AlphaDummy108, nb065AlphaDummy109 x y), (nb065AlphaDummy082, nb065AlphaDummy083 x y), (nb065AlphaDummy003, y), (nb065AlphaDummy002, x), (nb065AlphaDummy000, a), (nb065AlphaDummy001, r), (nb065AlphaDummy004, nb065AlphaDummy005 x y r a)] (SemanticCore.Wff.all nb065AlphaDummy086 (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb065AlphaDummy086) (SemanticCore.Class.cv nb065AlphaDummy079)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb065AlphaDummy087) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb065AlphaDummy086) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb065AlphaDummy086) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv nb065AlphaDummy086)))).neg) (SemanticCore.Wff.all (nb065AlphaDummy088 x y) (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb065AlphaDummy088 x y)) (SemanticCore.Class.cv (nb065AlphaDummy081 x y))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb065AlphaDummy089 x y)) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb065AlphaDummy088 x y)) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb065AlphaDummy088 x y)) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv (nb065AlphaDummy088 x y))))).neg)

Checked nominal proof certificate identified upstream as nb065_split_alpha_0013.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb065SplitAlpha0014 (x y r a : SemanticCore.Var) (dv_x_y : x ≠ y) : Nominal.TAlphaWff [(nb065AlphaDummy082, nb065AlphaDummy083 x y), (nb065AlphaDummy003, y), (nb065AlphaDummy002, x), (nb065AlphaDummy000, a), (nb065AlphaDummy001, r), (nb065AlphaDummy004, nb065AlphaDummy005 x y r a)] (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb065AlphaDummy082) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb065AlphaDummy078 (Compiler.CompactSourceSyntax.synWrex nb065AlphaDummy079 (SemanticCore.Class.cv nb065AlphaDummy002) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb065AlphaDummy078) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb065AlphaDummy079)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb065AlphaDummy083 x y)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb065AlphaDummy080 x y) (Compiler.CompactSourceSyntax.synWrex (nb065AlphaDummy081 x y) (SemanticCore.Class.cv x) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb065AlphaDummy080 x y)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb065AlphaDummy081 x y))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))))

Checked nominal proof certificate identified upstream as nb065_split_alpha_0014.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nominalDfSym (x y r a : SemanticCore.Var) (dv_a_r : a ≠ r) (dv_a_x : a ≠ x) (dv_a_y : a ≠ y) (dv_r_x : r ≠ x) (dv_r_y : r ≠ y) (dv_x_y : x ≠ y) : Nominal.NPrf (SemanticCore.Wff.classEq Compiler.CompactSourceSyntax.synCsym (Compiler.CompactSourceSyntax.synCopab r a (Compiler.CompactSourceSyntax.synWral x (SemanticCore.Class.cv a) (Compiler.CompactSourceSyntax.synWral y (SemanticCore.Class.cv a) ((Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv x) (SemanticCore.Class.cv r) (SemanticCore.Class.cv y)).imp (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv y) (SemanticCore.Class.cv r) (SemanticCore.Class.cv x)))))))

Checked nominal proof certificate identified upstream as nominal_df_sym.

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