Documentation

LeanPool.NFWeakPartition.Certificates.NAR4C056C001Block003

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C056C001Part013.

Checked nominal proof certificate identified upstream as nb056_split_alpha_0027.

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    Certificates from NAR4C056C001Part014.

    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0028 (f : SemanticCore.Var) :

    Checked nominal proof certificate identified upstream as nb056_split_alpha_0028.

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      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0030 (f : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb056AlphaDummy029, nb056AlphaDummy032 f), (nb056AlphaDummy028, nb056AlphaDummy031 f), (nb056AlphaDummy027, nb056AlphaDummy030 f), (nb056AlphaDummy025, nb056AlphaDummy026 f), (nb056AlphaDummy021, nb056AlphaDummy023 f), (nb056AlphaDummy022, nb056AlphaDummy024 f), (nb056AlphaDummy047, nb056AlphaDummy048 f), (nb056AlphaDummy045, nb056AlphaDummy046 f), (nb056AlphaDummy014, nb056AlphaDummy016 f), (nb056AlphaDummy013, nb056AlphaDummy015 f), (nb056AlphaDummy043, nb056AlphaDummy044 f), (nb056AlphaDummy017, nb056AlphaDummy018 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy000, f)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb056AlphaDummy028) (SemanticCore.Class.cv nb056AlphaDummy029)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy027) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb056AlphaDummy028) (SemanticCore.Class.cv nb056AlphaDummy029))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb056AlphaDummy031 f)) (SemanticCore.Class.cv (nb056AlphaDummy032 f))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy030 f)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb056AlphaDummy031 f)) (SemanticCore.Class.cv (nb056AlphaDummy032 f)))).neg)

      Checked nominal proof certificate identified upstream as nb056_split_alpha_0030.

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        noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0031 (f : SemanticCore.Var) :
        Nominal.TAlphaWff [(nb056AlphaDummy021, nb056AlphaDummy023 f), (nb056AlphaDummy022, nb056AlphaDummy024 f), (nb056AlphaDummy047, nb056AlphaDummy048 f), (nb056AlphaDummy045, nb056AlphaDummy046 f), (nb056AlphaDummy014, nb056AlphaDummy016 f), (nb056AlphaDummy013, nb056AlphaDummy015 f), (nb056AlphaDummy043, nb056AlphaDummy044 f), (nb056AlphaDummy017, nb056AlphaDummy018 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy000, f)] (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy021) (SemanticCore.Class.cv nb056AlphaDummy014)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy022) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy021) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb056AlphaDummy021) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv nb056AlphaDummy021)))).neg (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy023 f)) (SemanticCore.Class.cv (nb056AlphaDummy016 f))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy024 f)) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy023 f)) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb056AlphaDummy023 f)) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv (nb056AlphaDummy023 f))))).neg

        Checked nominal proof certificate identified upstream as nb056_split_alpha_0031.

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          noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0032 (f : SemanticCore.Var) :
          Nominal.TAlphaWff [(nb056AlphaDummy017, nb056AlphaDummy018 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy000, f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy017) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb056AlphaDummy013 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy014 (SemanticCore.Class.cv nb056AlphaDummy005) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy013) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy014))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy017) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb056AlphaDummy013 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy014 (SemanticCore.Class.cv nb056AlphaDummy006) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy013) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy014)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy018 f)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb056AlphaDummy015 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy016 f) (SemanticCore.Class.cv (nb056AlphaDummy008 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy015 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy016 f)))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy018 f)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb056AlphaDummy015 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy016 f) (SemanticCore.Class.cv (nb056AlphaDummy009 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy015 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy016 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg)

          Checked nominal proof certificate identified upstream as nb056_split_alpha_0032.

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            Certificates from NAR4C056C001Part015.

            noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0033 (f : SemanticCore.Var) :

            Checked nominal proof certificate identified upstream as nb056_split_alpha_0033.

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              noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0035 (f : SemanticCore.Var) :
              Nominal.TAlphaWff [(nb056AlphaDummy065, nb056AlphaDummy068 f), (nb056AlphaDummy064, nb056AlphaDummy067 f), (nb056AlphaDummy063, nb056AlphaDummy066 f), (nb056AlphaDummy061, nb056AlphaDummy062 f), (nb056AlphaDummy057, nb056AlphaDummy059 f), (nb056AlphaDummy058, nb056AlphaDummy060 f), (nb056AlphaDummy083, nb056AlphaDummy084 f), (nb056AlphaDummy081, nb056AlphaDummy082 f), (nb056AlphaDummy050, nb056AlphaDummy052 f), (nb056AlphaDummy049, nb056AlphaDummy051 f), (nb056AlphaDummy079, nb056AlphaDummy080 f), (nb056AlphaDummy053, nb056AlphaDummy054 f), (nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy000, f)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb056AlphaDummy064) (SemanticCore.Class.cv nb056AlphaDummy065)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy063) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb056AlphaDummy064) (SemanticCore.Class.cv nb056AlphaDummy065))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb056AlphaDummy067 f)) (SemanticCore.Class.cv (nb056AlphaDummy068 f))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy066 f)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb056AlphaDummy067 f)) (SemanticCore.Class.cv (nb056AlphaDummy068 f)))).neg)

              Checked nominal proof certificate identified upstream as nb056_split_alpha_0035.

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                noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0036 (f : SemanticCore.Var) :
                Nominal.TAlphaWff [(nb056AlphaDummy057, nb056AlphaDummy059 f), (nb056AlphaDummy058, nb056AlphaDummy060 f), (nb056AlphaDummy083, nb056AlphaDummy084 f), (nb056AlphaDummy081, nb056AlphaDummy082 f), (nb056AlphaDummy050, nb056AlphaDummy052 f), (nb056AlphaDummy049, nb056AlphaDummy051 f), (nb056AlphaDummy079, nb056AlphaDummy080 f), (nb056AlphaDummy053, nb056AlphaDummy054 f), (nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy000, f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy057) (SemanticCore.Class.cv nb056AlphaDummy050)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy058) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy057) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb056AlphaDummy057) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv nb056AlphaDummy057))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy059 f)) (SemanticCore.Class.cv (nb056AlphaDummy052 f))).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy060 f)) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy059 f)) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb056AlphaDummy059 f)) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv (nb056AlphaDummy059 f)))).neg)

                Checked nominal proof certificate identified upstream as nb056_split_alpha_0036.

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                  noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0037 (f : SemanticCore.Var) :
                  Nominal.TAlphaWff [(nb056AlphaDummy079, nb056AlphaDummy080 f), (nb056AlphaDummy053, nb056AlphaDummy054 f), (nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy000, f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy079) (SemanticCore.Class.cab nb056AlphaDummy049 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy050 (SemanticCore.Class.cv nb056AlphaDummy007) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy049) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy050)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy079) (SemanticCore.Class.cab nb056AlphaDummy049 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy050 (SemanticCore.Class.cv nb056AlphaDummy007) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy049) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy050)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy080 f)) (SemanticCore.Class.cab (nb056AlphaDummy051 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy052 f) (SemanticCore.Class.cv (nb056AlphaDummy010 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy051 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy052 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy080 f)) (SemanticCore.Class.cab (nb056AlphaDummy051 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy052 f) (SemanticCore.Class.cv (nb056AlphaDummy010 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy051 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy052 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).neg)

                  Checked nominal proof certificate identified upstream as nb056_split_alpha_0037.

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                    Certificates from NAR4C056C001Part016.

                    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0038 (f : SemanticCore.Var) :
                    Nominal.TAlphaWff [(nb056AlphaDummy107, nb056AlphaDummy110 f), (nb056AlphaDummy106, nb056AlphaDummy109 f), (nb056AlphaDummy105, nb056AlphaDummy108 f), (nb056AlphaDummy103, nb056AlphaDummy104 f), (nb056AlphaDummy099, nb056AlphaDummy101 f), (nb056AlphaDummy100, nb056AlphaDummy102 f), (nb056AlphaDummy092, nb056AlphaDummy094 f), (nb056AlphaDummy091, nb056AlphaDummy093 f), (nb056AlphaDummy097, nb056AlphaDummy098 f), (nb056AlphaDummy095, nb056AlphaDummy096 f), (nb056AlphaDummy086, nb056AlphaDummy088 f), (nb056AlphaDummy085, nb056AlphaDummy087 f), (nb056AlphaDummy089, nb056AlphaDummy090 f), (nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy000, f)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb056AlphaDummy106) (SemanticCore.Class.cv nb056AlphaDummy107)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy105) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb056AlphaDummy106) (SemanticCore.Class.cv nb056AlphaDummy107))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb056AlphaDummy109 f)) (SemanticCore.Class.cv (nb056AlphaDummy110 f))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy108 f)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb056AlphaDummy109 f)) (SemanticCore.Class.cv (nb056AlphaDummy110 f)))).neg)

                    Checked nominal proof certificate identified upstream as nb056_split_alpha_0038.

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                      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0039 (f : SemanticCore.Var) :
                      Nominal.TAlphaWff [(nb056AlphaDummy100, nb056AlphaDummy102 f), (nb056AlphaDummy092, nb056AlphaDummy094 f), (nb056AlphaDummy091, nb056AlphaDummy093 f), (nb056AlphaDummy097, nb056AlphaDummy098 f), (nb056AlphaDummy095, nb056AlphaDummy096 f), (nb056AlphaDummy086, nb056AlphaDummy088 f), (nb056AlphaDummy085, nb056AlphaDummy087 f), (nb056AlphaDummy089, nb056AlphaDummy090 f), (nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy000, f)] (SemanticCore.Wff.all nb056AlphaDummy099 (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy099) (SemanticCore.Class.cv nb056AlphaDummy092)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy100) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy099) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb056AlphaDummy099) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv nb056AlphaDummy099)))).neg).neg (SemanticCore.Wff.all (nb056AlphaDummy101 f) (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy101 f)) (SemanticCore.Class.cv (nb056AlphaDummy094 f))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy102 f)) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy101 f)) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb056AlphaDummy101 f)) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv (nb056AlphaDummy101 f))))).neg).neg

                      Checked nominal proof certificate identified upstream as nb056_split_alpha_0039.

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                        noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0040 (f : SemanticCore.Var) :
                        Nominal.TAlphaWff [(nb056AlphaDummy107, nb056AlphaDummy110 f), (nb056AlphaDummy106, nb056AlphaDummy109 f), (nb056AlphaDummy105, nb056AlphaDummy108 f), (nb056AlphaDummy103, nb056AlphaDummy104 f), (nb056AlphaDummy099, nb056AlphaDummy101 f), (nb056AlphaDummy100, nb056AlphaDummy102 f), (nb056AlphaDummy125, nb056AlphaDummy126 f), (nb056AlphaDummy123, nb056AlphaDummy124 f), (nb056AlphaDummy092, nb056AlphaDummy094 f), (nb056AlphaDummy091, nb056AlphaDummy093 f), (nb056AlphaDummy121, nb056AlphaDummy122 f), (nb056AlphaDummy095, nb056AlphaDummy096 f), (nb056AlphaDummy086, nb056AlphaDummy088 f), (nb056AlphaDummy085, nb056AlphaDummy087 f), (nb056AlphaDummy089, nb056AlphaDummy090 f), (nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy000, f)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb056AlphaDummy106) (SemanticCore.Class.cv nb056AlphaDummy107)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy105) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb056AlphaDummy106) (SemanticCore.Class.cv nb056AlphaDummy107))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb056AlphaDummy109 f)) (SemanticCore.Class.cv (nb056AlphaDummy110 f))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy108 f)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb056AlphaDummy109 f)) (SemanticCore.Class.cv (nb056AlphaDummy110 f)))).neg)

                        Checked nominal proof certificate identified upstream as nb056_split_alpha_0040.

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                          noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0041 (f : SemanticCore.Var) :
                          Nominal.TAlphaWff [(nb056AlphaDummy099, nb056AlphaDummy101 f), (nb056AlphaDummy100, nb056AlphaDummy102 f), (nb056AlphaDummy125, nb056AlphaDummy126 f), (nb056AlphaDummy123, nb056AlphaDummy124 f), (nb056AlphaDummy092, nb056AlphaDummy094 f), (nb056AlphaDummy091, nb056AlphaDummy093 f), (nb056AlphaDummy121, nb056AlphaDummy122 f), (nb056AlphaDummy095, nb056AlphaDummy096 f), (nb056AlphaDummy086, nb056AlphaDummy088 f), (nb056AlphaDummy085, nb056AlphaDummy087 f), (nb056AlphaDummy089, nb056AlphaDummy090 f), (nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy000, f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy099) (SemanticCore.Class.cv nb056AlphaDummy092)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy100) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy099) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb056AlphaDummy099) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv nb056AlphaDummy099))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy101 f)) (SemanticCore.Class.cv (nb056AlphaDummy094 f))).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy102 f)) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy101 f)) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb056AlphaDummy101 f)) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv (nb056AlphaDummy101 f)))).neg)

                          Checked nominal proof certificate identified upstream as nb056_split_alpha_0041.

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                            noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0042 (f : SemanticCore.Var) :
                            Nominal.TAlphaWff [(nb056AlphaDummy121, nb056AlphaDummy122 f), (nb056AlphaDummy095, nb056AlphaDummy096 f), (nb056AlphaDummy086, nb056AlphaDummy088 f), (nb056AlphaDummy085, nb056AlphaDummy087 f), (nb056AlphaDummy089, nb056AlphaDummy090 f), (nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy000, f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy121) (SemanticCore.Class.cab nb056AlphaDummy091 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy092 (SemanticCore.Class.cv nb056AlphaDummy086) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy091) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy092)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy121) (SemanticCore.Class.cab nb056AlphaDummy091 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy092 (SemanticCore.Class.cv nb056AlphaDummy086) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy091) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy092)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy122 f)) (SemanticCore.Class.cab (nb056AlphaDummy093 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy094 f) (SemanticCore.Class.cv (nb056AlphaDummy088 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy093 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy094 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy122 f)) (SemanticCore.Class.cab (nb056AlphaDummy093 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy094 f) (SemanticCore.Class.cv (nb056AlphaDummy088 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy093 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy094 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).neg)

                            Checked nominal proof certificate identified upstream as nb056_split_alpha_0042.

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                            Instances For

                              Certificates from NAR4C056C001Part017.

                              noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0043 (f : SemanticCore.Var) :
                              Nominal.TAlphaWff [(nb056AlphaDummy143, nb056AlphaDummy146 f), (nb056AlphaDummy142, nb056AlphaDummy145 f), (nb056AlphaDummy141, nb056AlphaDummy144 f), (nb056AlphaDummy139, nb056AlphaDummy140 f), (nb056AlphaDummy135, nb056AlphaDummy137 f), (nb056AlphaDummy136, nb056AlphaDummy138 f), (nb056AlphaDummy128, nb056AlphaDummy130 f), (nb056AlphaDummy127, nb056AlphaDummy129 f), (nb056AlphaDummy133, nb056AlphaDummy134 f), (nb056AlphaDummy131, nb056AlphaDummy132 f), (nb056AlphaDummy086, nb056AlphaDummy088 f), (nb056AlphaDummy085, nb056AlphaDummy087 f), (nb056AlphaDummy089, nb056AlphaDummy090 f), (nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy000, f)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb056AlphaDummy142) (SemanticCore.Class.cv nb056AlphaDummy143)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy141) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb056AlphaDummy142) (SemanticCore.Class.cv nb056AlphaDummy143))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb056AlphaDummy145 f)) (SemanticCore.Class.cv (nb056AlphaDummy146 f))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy144 f)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb056AlphaDummy145 f)) (SemanticCore.Class.cv (nb056AlphaDummy146 f)))).neg)

                              Checked nominal proof certificate identified upstream as nb056_split_alpha_0043.

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                                noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0044 (f : SemanticCore.Var) :
                                Nominal.TAlphaWff [(nb056AlphaDummy136, nb056AlphaDummy138 f), (nb056AlphaDummy128, nb056AlphaDummy130 f), (nb056AlphaDummy127, nb056AlphaDummy129 f), (nb056AlphaDummy133, nb056AlphaDummy134 f), (nb056AlphaDummy131, nb056AlphaDummy132 f), (nb056AlphaDummy086, nb056AlphaDummy088 f), (nb056AlphaDummy085, nb056AlphaDummy087 f), (nb056AlphaDummy089, nb056AlphaDummy090 f), (nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy000, f)] (SemanticCore.Wff.all nb056AlphaDummy135 (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy135) (SemanticCore.Class.cv nb056AlphaDummy128)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy136) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy135) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb056AlphaDummy135) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv nb056AlphaDummy135)))).neg).neg (SemanticCore.Wff.all (nb056AlphaDummy137 f) (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy137 f)) (SemanticCore.Class.cv (nb056AlphaDummy130 f))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy138 f)) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy137 f)) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb056AlphaDummy137 f)) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv (nb056AlphaDummy137 f))))).neg).neg

                                Checked nominal proof certificate identified upstream as nb056_split_alpha_0044.

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                                  noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0045 (f : SemanticCore.Var) :
                                  Nominal.TAlphaWff [(nb056AlphaDummy143, nb056AlphaDummy146 f), (nb056AlphaDummy142, nb056AlphaDummy145 f), (nb056AlphaDummy141, nb056AlphaDummy144 f), (nb056AlphaDummy139, nb056AlphaDummy140 f), (nb056AlphaDummy135, nb056AlphaDummy137 f), (nb056AlphaDummy136, nb056AlphaDummy138 f), (nb056AlphaDummy161, nb056AlphaDummy162 f), (nb056AlphaDummy159, nb056AlphaDummy160 f), (nb056AlphaDummy128, nb056AlphaDummy130 f), (nb056AlphaDummy127, nb056AlphaDummy129 f), (nb056AlphaDummy157, nb056AlphaDummy158 f), (nb056AlphaDummy131, nb056AlphaDummy132 f), (nb056AlphaDummy086, nb056AlphaDummy088 f), (nb056AlphaDummy085, nb056AlphaDummy087 f), (nb056AlphaDummy089, nb056AlphaDummy090 f), (nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy000, f)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb056AlphaDummy142) (SemanticCore.Class.cv nb056AlphaDummy143)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy141) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb056AlphaDummy142) (SemanticCore.Class.cv nb056AlphaDummy143))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb056AlphaDummy145 f)) (SemanticCore.Class.cv (nb056AlphaDummy146 f))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy144 f)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb056AlphaDummy145 f)) (SemanticCore.Class.cv (nb056AlphaDummy146 f)))).neg)

                                  Checked nominal proof certificate identified upstream as nb056_split_alpha_0045.

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                                    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0046 (f : SemanticCore.Var) :
                                    Nominal.TAlphaWff [(nb056AlphaDummy135, nb056AlphaDummy137 f), (nb056AlphaDummy136, nb056AlphaDummy138 f), (nb056AlphaDummy161, nb056AlphaDummy162 f), (nb056AlphaDummy159, nb056AlphaDummy160 f), (nb056AlphaDummy128, nb056AlphaDummy130 f), (nb056AlphaDummy127, nb056AlphaDummy129 f), (nb056AlphaDummy157, nb056AlphaDummy158 f), (nb056AlphaDummy131, nb056AlphaDummy132 f), (nb056AlphaDummy086, nb056AlphaDummy088 f), (nb056AlphaDummy085, nb056AlphaDummy087 f), (nb056AlphaDummy089, nb056AlphaDummy090 f), (nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy000, f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy135) (SemanticCore.Class.cv nb056AlphaDummy128)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy136) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy135) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb056AlphaDummy135) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv nb056AlphaDummy135))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy137 f)) (SemanticCore.Class.cv (nb056AlphaDummy130 f))).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy138 f)) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy137 f)) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb056AlphaDummy137 f)) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv (nb056AlphaDummy137 f)))).neg)

                                    Checked nominal proof certificate identified upstream as nb056_split_alpha_0046.

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                                    Instances For

                                      Certificates from NAR4C056C001Part018.

                                      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0047 (f : SemanticCore.Var) :
                                      Nominal.TAlphaWff [(nb056AlphaDummy157, nb056AlphaDummy158 f), (nb056AlphaDummy131, nb056AlphaDummy132 f), (nb056AlphaDummy086, nb056AlphaDummy088 f), (nb056AlphaDummy085, nb056AlphaDummy087 f), (nb056AlphaDummy089, nb056AlphaDummy090 f), (nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy000, f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy157) (SemanticCore.Class.cab nb056AlphaDummy127 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy128 (SemanticCore.Class.cv nb056AlphaDummy085) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy127) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy128)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy157) (SemanticCore.Class.cab nb056AlphaDummy127 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy128 (SemanticCore.Class.cv nb056AlphaDummy085) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy127) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy128)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy158 f)) (SemanticCore.Class.cab (nb056AlphaDummy129 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy130 f) (SemanticCore.Class.cv (nb056AlphaDummy087 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy129 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy130 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy158 f)) (SemanticCore.Class.cab (nb056AlphaDummy129 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy130 f) (SemanticCore.Class.cv (nb056AlphaDummy087 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy129 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy130 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).neg)

                                      Checked nominal proof certificate identified upstream as nb056_split_alpha_0047.

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                                        noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0049 (f : SemanticCore.Var) :

                                        Checked nominal proof certificate identified upstream as nb056_split_alpha_0049.

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                                          noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0051 (f : SemanticCore.Var) :
                                          Nominal.TAlphaWff [(nb056AlphaDummy179, nb056AlphaDummy182 f), (nb056AlphaDummy178, nb056AlphaDummy181 f), (nb056AlphaDummy177, nb056AlphaDummy180 f), (nb056AlphaDummy175, nb056AlphaDummy176 f), (nb056AlphaDummy171, nb056AlphaDummy173 f), (nb056AlphaDummy172, nb056AlphaDummy174 f), (nb056AlphaDummy197, nb056AlphaDummy198 f), (nb056AlphaDummy195, nb056AlphaDummy196 f), (nb056AlphaDummy164, nb056AlphaDummy166 f), (nb056AlphaDummy163, nb056AlphaDummy165 f), (nb056AlphaDummy193, nb056AlphaDummy194 f), (nb056AlphaDummy167, nb056AlphaDummy168 f), (nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy000, f)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb056AlphaDummy178) (SemanticCore.Class.cv nb056AlphaDummy179)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy177) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb056AlphaDummy178) (SemanticCore.Class.cv nb056AlphaDummy179))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb056AlphaDummy181 f)) (SemanticCore.Class.cv (nb056AlphaDummy182 f))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy180 f)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb056AlphaDummy181 f)) (SemanticCore.Class.cv (nb056AlphaDummy182 f)))).neg)

                                          Checked nominal proof certificate identified upstream as nb056_split_alpha_0051.

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                                            Certificates from NAR4C056C001Part019.

                                            noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0052 (f : SemanticCore.Var) :
                                            Nominal.TAlphaWff [(nb056AlphaDummy171, nb056AlphaDummy173 f), (nb056AlphaDummy172, nb056AlphaDummy174 f), (nb056AlphaDummy197, nb056AlphaDummy198 f), (nb056AlphaDummy195, nb056AlphaDummy196 f), (nb056AlphaDummy164, nb056AlphaDummy166 f), (nb056AlphaDummy163, nb056AlphaDummy165 f), (nb056AlphaDummy193, nb056AlphaDummy194 f), (nb056AlphaDummy167, nb056AlphaDummy168 f), (nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy000, f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy171) (SemanticCore.Class.cv nb056AlphaDummy164)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy172) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy171) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb056AlphaDummy171) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv nb056AlphaDummy171))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy173 f)) (SemanticCore.Class.cv (nb056AlphaDummy166 f))).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy174 f)) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy173 f)) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb056AlphaDummy173 f)) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv (nb056AlphaDummy173 f)))).neg)

                                            Checked nominal proof certificate identified upstream as nb056_split_alpha_0052.

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                                              noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0053 (f : SemanticCore.Var) :
                                              Nominal.TAlphaWff [(nb056AlphaDummy193, nb056AlphaDummy194 f), (nb056AlphaDummy167, nb056AlphaDummy168 f), (nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy000, f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy193) (SemanticCore.Class.cab nb056AlphaDummy163 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy164 (SemanticCore.Class.cv nb056AlphaDummy006) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy163) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy164)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy193) (SemanticCore.Class.cab nb056AlphaDummy163 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy164 (SemanticCore.Class.cv nb056AlphaDummy006) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy163) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy164)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy194 f)) (SemanticCore.Class.cab (nb056AlphaDummy165 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy166 f) (SemanticCore.Class.cv (nb056AlphaDummy009 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy165 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy166 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy194 f)) (SemanticCore.Class.cab (nb056AlphaDummy165 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy166 f) (SemanticCore.Class.cv (nb056AlphaDummy009 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy165 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy166 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).neg)

                                              Checked nominal proof certificate identified upstream as nb056_split_alpha_0053.

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                                                Checked nominal proof certificate identified upstream as nominal_df_funs.

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