Documentation

LeanPool.NFWeakPartition.Certificates.NAR4C068C001Block011

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C068C001Part043.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0108 (x y f : SemanticCore.Var) :
Nominal.TAlphaWff [(nb068AlphaDummy450, nb068AlphaDummy452 f), (nb068AlphaDummy449, nb068AlphaDummy451 f), (nb068AlphaDummy479, nb068AlphaDummy480 f), (nb068AlphaDummy453, nb068AlphaDummy454 f), (nb068AlphaDummy408, nb068AlphaDummy410 f), (nb068AlphaDummy407, nb068AlphaDummy409 f), (nb068AlphaDummy411, nb068AlphaDummy412 f), (nb068AlphaDummy329, nb068AlphaDummy332 f), (nb068AlphaDummy328, nb068AlphaDummy331 f), (nb068AlphaDummy327, nb068AlphaDummy330 f), (nb068AlphaDummy333, nb068AlphaDummy334 f), (nb068AlphaDummy325, nb068AlphaDummy326 f), (nb068AlphaDummy323, nb068AlphaDummy324 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy450) (SemanticCore.Class.cv nb068AlphaDummy407)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy449) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy450)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy452 f)) (SemanticCore.Class.cv (nb068AlphaDummy409 f))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy451 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy452 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg

Checked nominal proof certificate identified upstream as nb068_split_alpha_0108.

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    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0109 (x y f : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb068AlphaDummy147, nb068AlphaDummy150 f), (nb068AlphaDummy146, nb068AlphaDummy149 f), (nb068AlphaDummy145, nb068AlphaDummy148 f), (nb068AlphaDummy143, nb068AlphaDummy144 f), (nb068AlphaDummy139, nb068AlphaDummy141 f), (nb068AlphaDummy140, nb068AlphaDummy142 f), (nb068AlphaDummy132, nb068AlphaDummy134 f), (nb068AlphaDummy131, nb068AlphaDummy133 f), (nb068AlphaDummy137, nb068AlphaDummy138 f), (nb068AlphaDummy135, nb068AlphaDummy136 f), (nb068AlphaDummy126, nb068AlphaDummy128 f), (nb068AlphaDummy125, nb068AlphaDummy127 f), (nb068AlphaDummy129, nb068AlphaDummy130 f), (nb068AlphaDummy408, nb068AlphaDummy410 f), (nb068AlphaDummy407, nb068AlphaDummy409 f), (nb068AlphaDummy411, nb068AlphaDummy412 f), (nb068AlphaDummy329, nb068AlphaDummy332 f), (nb068AlphaDummy328, nb068AlphaDummy331 f), (nb068AlphaDummy327, nb068AlphaDummy330 f), (nb068AlphaDummy333, nb068AlphaDummy334 f), (nb068AlphaDummy325, nb068AlphaDummy326 f), (nb068AlphaDummy323, nb068AlphaDummy324 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb068AlphaDummy146) (SemanticCore.Class.cv nb068AlphaDummy147)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy145) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb068AlphaDummy146) (SemanticCore.Class.cv nb068AlphaDummy147))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb068AlphaDummy149 f)) (SemanticCore.Class.cv (nb068AlphaDummy150 f))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy148 f)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb068AlphaDummy149 f)) (SemanticCore.Class.cv (nb068AlphaDummy150 f)))).neg)

    Checked nominal proof certificate identified upstream as nb068_split_alpha_0109.

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      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0110 (x y f : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb068AlphaDummy143, nb068AlphaDummy144 f), (nb068AlphaDummy139, nb068AlphaDummy141 f), (nb068AlphaDummy140, nb068AlphaDummy142 f), (nb068AlphaDummy132, nb068AlphaDummy134 f), (nb068AlphaDummy131, nb068AlphaDummy133 f), (nb068AlphaDummy137, nb068AlphaDummy138 f), (nb068AlphaDummy135, nb068AlphaDummy136 f), (nb068AlphaDummy126, nb068AlphaDummy128 f), (nb068AlphaDummy125, nb068AlphaDummy127 f), (nb068AlphaDummy129, nb068AlphaDummy130 f), (nb068AlphaDummy408, nb068AlphaDummy410 f), (nb068AlphaDummy407, nb068AlphaDummy409 f), (nb068AlphaDummy411, nb068AlphaDummy412 f), (nb068AlphaDummy329, nb068AlphaDummy332 f), (nb068AlphaDummy328, nb068AlphaDummy331 f), (nb068AlphaDummy327, nb068AlphaDummy330 f), (nb068AlphaDummy333, nb068AlphaDummy334 f), (nb068AlphaDummy325, nb068AlphaDummy326 f), (nb068AlphaDummy323, nb068AlphaDummy324 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] ((Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy143) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb068AlphaDummy139) Compiler.CompactSourceSyntax.synC1c)) (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy139) Compiler.CompactSourceSyntax.synCnnc)).neg.imp (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy143) (SemanticCore.Class.cv nb068AlphaDummy139)) (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy139) Compiler.CompactSourceSyntax.synCnnc).neg)) ((Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy144 f)) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb068AlphaDummy141 f)) Compiler.CompactSourceSyntax.synC1c)) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy141 f)) Compiler.CompactSourceSyntax.synCnnc)).neg.imp (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy144 f)) (SemanticCore.Class.cv (nb068AlphaDummy141 f))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy141 f)) Compiler.CompactSourceSyntax.synCnnc).neg))

      Checked nominal proof certificate identified upstream as nb068_split_alpha_0110.

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        Certificates from NAR4C068C001Part044.

        noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0111 (x y f : SemanticCore.Var) :
        Nominal.TAlphaWff [(nb068AlphaDummy147, nb068AlphaDummy150 f), (nb068AlphaDummy146, nb068AlphaDummy149 f), (nb068AlphaDummy145, nb068AlphaDummy148 f), (nb068AlphaDummy143, nb068AlphaDummy144 f), (nb068AlphaDummy139, nb068AlphaDummy141 f), (nb068AlphaDummy140, nb068AlphaDummy142 f), (nb068AlphaDummy165, nb068AlphaDummy166 f), (nb068AlphaDummy163, nb068AlphaDummy164 f), (nb068AlphaDummy132, nb068AlphaDummy134 f), (nb068AlphaDummy131, nb068AlphaDummy133 f), (nb068AlphaDummy161, nb068AlphaDummy162 f), (nb068AlphaDummy135, nb068AlphaDummy136 f), (nb068AlphaDummy126, nb068AlphaDummy128 f), (nb068AlphaDummy125, nb068AlphaDummy127 f), (nb068AlphaDummy129, nb068AlphaDummy130 f), (nb068AlphaDummy408, nb068AlphaDummy410 f), (nb068AlphaDummy407, nb068AlphaDummy409 f), (nb068AlphaDummy411, nb068AlphaDummy412 f), (nb068AlphaDummy329, nb068AlphaDummy332 f), (nb068AlphaDummy328, nb068AlphaDummy331 f), (nb068AlphaDummy327, nb068AlphaDummy330 f), (nb068AlphaDummy333, nb068AlphaDummy334 f), (nb068AlphaDummy325, nb068AlphaDummy326 f), (nb068AlphaDummy323, nb068AlphaDummy324 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb068AlphaDummy146) (SemanticCore.Class.cv nb068AlphaDummy147)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy145) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb068AlphaDummy146) (SemanticCore.Class.cv nb068AlphaDummy147))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb068AlphaDummy149 f)) (SemanticCore.Class.cv (nb068AlphaDummy150 f))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy148 f)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb068AlphaDummy149 f)) (SemanticCore.Class.cv (nb068AlphaDummy150 f)))).neg)

        Checked nominal proof certificate identified upstream as nb068_split_alpha_0111.

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          noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0112 (x y f : SemanticCore.Var) :
          Nominal.TAlphaWff [(nb068AlphaDummy143, nb068AlphaDummy144 f), (nb068AlphaDummy139, nb068AlphaDummy141 f), (nb068AlphaDummy140, nb068AlphaDummy142 f), (nb068AlphaDummy165, nb068AlphaDummy166 f), (nb068AlphaDummy163, nb068AlphaDummy164 f), (nb068AlphaDummy132, nb068AlphaDummy134 f), (nb068AlphaDummy131, nb068AlphaDummy133 f), (nb068AlphaDummy161, nb068AlphaDummy162 f), (nb068AlphaDummy135, nb068AlphaDummy136 f), (nb068AlphaDummy126, nb068AlphaDummy128 f), (nb068AlphaDummy125, nb068AlphaDummy127 f), (nb068AlphaDummy129, nb068AlphaDummy130 f), (nb068AlphaDummy408, nb068AlphaDummy410 f), (nb068AlphaDummy407, nb068AlphaDummy409 f), (nb068AlphaDummy411, nb068AlphaDummy412 f), (nb068AlphaDummy329, nb068AlphaDummy332 f), (nb068AlphaDummy328, nb068AlphaDummy331 f), (nb068AlphaDummy327, nb068AlphaDummy330 f), (nb068AlphaDummy333, nb068AlphaDummy334 f), (nb068AlphaDummy325, nb068AlphaDummy326 f), (nb068AlphaDummy323, nb068AlphaDummy324 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] ((Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy143) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb068AlphaDummy139) Compiler.CompactSourceSyntax.synC1c)) (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy139) Compiler.CompactSourceSyntax.synCnnc)).neg.imp (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy143) (SemanticCore.Class.cv nb068AlphaDummy139)) (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy139) Compiler.CompactSourceSyntax.synCnnc).neg)) ((Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy144 f)) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb068AlphaDummy141 f)) Compiler.CompactSourceSyntax.synC1c)) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy141 f)) Compiler.CompactSourceSyntax.synCnnc)).neg.imp (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy144 f)) (SemanticCore.Class.cv (nb068AlphaDummy141 f))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy141 f)) Compiler.CompactSourceSyntax.synCnnc).neg))

          Checked nominal proof certificate identified upstream as nb068_split_alpha_0112.

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            noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0113 (x y f : SemanticCore.Var) :
            Nominal.TAlphaWff [(nb068AlphaDummy161, nb068AlphaDummy162 f), (nb068AlphaDummy135, nb068AlphaDummy136 f), (nb068AlphaDummy126, nb068AlphaDummy128 f), (nb068AlphaDummy125, nb068AlphaDummy127 f), (nb068AlphaDummy129, nb068AlphaDummy130 f), (nb068AlphaDummy408, nb068AlphaDummy410 f), (nb068AlphaDummy407, nb068AlphaDummy409 f), (nb068AlphaDummy411, nb068AlphaDummy412 f), (nb068AlphaDummy329, nb068AlphaDummy332 f), (nb068AlphaDummy328, nb068AlphaDummy331 f), (nb068AlphaDummy327, nb068AlphaDummy330 f), (nb068AlphaDummy333, nb068AlphaDummy334 f), (nb068AlphaDummy325, nb068AlphaDummy326 f), (nb068AlphaDummy323, nb068AlphaDummy324 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy161) (SemanticCore.Class.cab nb068AlphaDummy131 (Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy132 (SemanticCore.Class.cv nb068AlphaDummy126) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy131) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy132)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy162 f)) (SemanticCore.Class.cab (nb068AlphaDummy133 f) (Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy134 f) (SemanticCore.Class.cv (nb068AlphaDummy128 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy133 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy134 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))

            Checked nominal proof certificate identified upstream as nb068_split_alpha_0113.

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              noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0114 (x y f : SemanticCore.Var) :
              Nominal.TAlphaWff [(nb068AlphaDummy135, nb068AlphaDummy136 f), (nb068AlphaDummy126, nb068AlphaDummy128 f), (nb068AlphaDummy125, nb068AlphaDummy127 f), (nb068AlphaDummy129, nb068AlphaDummy130 f), (nb068AlphaDummy408, nb068AlphaDummy410 f), (nb068AlphaDummy407, nb068AlphaDummy409 f), (nb068AlphaDummy411, nb068AlphaDummy412 f), (nb068AlphaDummy329, nb068AlphaDummy332 f), (nb068AlphaDummy328, nb068AlphaDummy331 f), (nb068AlphaDummy327, nb068AlphaDummy330 f), (nb068AlphaDummy333, nb068AlphaDummy334 f), (nb068AlphaDummy325, nb068AlphaDummy326 f), (nb068AlphaDummy323, nb068AlphaDummy324 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy135) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb068AlphaDummy131 (Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy132 (SemanticCore.Class.cv nb068AlphaDummy125) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy131) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy132))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy135) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb068AlphaDummy131 (Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy132 (SemanticCore.Class.cv nb068AlphaDummy126) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy131) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy132)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy136 f)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb068AlphaDummy133 f) (Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy134 f) (SemanticCore.Class.cv (nb068AlphaDummy127 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy133 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy134 f)))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy136 f)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb068AlphaDummy133 f) (Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy134 f) (SemanticCore.Class.cv (nb068AlphaDummy128 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy133 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy134 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg)

              Checked nominal proof certificate identified upstream as nb068_split_alpha_0114.

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                Certificates from NAR4C068C001Part045.

                noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0115 (x y f : SemanticCore.Var) :
                Nominal.TAlphaWff [(nb068AlphaDummy183, nb068AlphaDummy186 f), (nb068AlphaDummy182, nb068AlphaDummy185 f), (nb068AlphaDummy181, nb068AlphaDummy184 f), (nb068AlphaDummy179, nb068AlphaDummy180 f), (nb068AlphaDummy175, nb068AlphaDummy177 f), (nb068AlphaDummy176, nb068AlphaDummy178 f), (nb068AlphaDummy168, nb068AlphaDummy170 f), (nb068AlphaDummy167, nb068AlphaDummy169 f), (nb068AlphaDummy173, nb068AlphaDummy174 f), (nb068AlphaDummy171, nb068AlphaDummy172 f), (nb068AlphaDummy126, nb068AlphaDummy128 f), (nb068AlphaDummy125, nb068AlphaDummy127 f), (nb068AlphaDummy129, nb068AlphaDummy130 f), (nb068AlphaDummy408, nb068AlphaDummy410 f), (nb068AlphaDummy407, nb068AlphaDummy409 f), (nb068AlphaDummy411, nb068AlphaDummy412 f), (nb068AlphaDummy329, nb068AlphaDummy332 f), (nb068AlphaDummy328, nb068AlphaDummy331 f), (nb068AlphaDummy327, nb068AlphaDummy330 f), (nb068AlphaDummy333, nb068AlphaDummy334 f), (nb068AlphaDummy325, nb068AlphaDummy326 f), (nb068AlphaDummy323, nb068AlphaDummy324 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb068AlphaDummy182) (SemanticCore.Class.cv nb068AlphaDummy183)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy181) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb068AlphaDummy182) (SemanticCore.Class.cv nb068AlphaDummy183))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb068AlphaDummy185 f)) (SemanticCore.Class.cv (nb068AlphaDummy186 f))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy184 f)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb068AlphaDummy185 f)) (SemanticCore.Class.cv (nb068AlphaDummy186 f)))).neg)

                Checked nominal proof certificate identified upstream as nb068_split_alpha_0115.

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                  noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0116 (x y f : SemanticCore.Var) :
                  Nominal.TAlphaWff [(nb068AlphaDummy179, nb068AlphaDummy180 f), (nb068AlphaDummy175, nb068AlphaDummy177 f), (nb068AlphaDummy176, nb068AlphaDummy178 f), (nb068AlphaDummy168, nb068AlphaDummy170 f), (nb068AlphaDummy167, nb068AlphaDummy169 f), (nb068AlphaDummy173, nb068AlphaDummy174 f), (nb068AlphaDummy171, nb068AlphaDummy172 f), (nb068AlphaDummy126, nb068AlphaDummy128 f), (nb068AlphaDummy125, nb068AlphaDummy127 f), (nb068AlphaDummy129, nb068AlphaDummy130 f), (nb068AlphaDummy408, nb068AlphaDummy410 f), (nb068AlphaDummy407, nb068AlphaDummy409 f), (nb068AlphaDummy411, nb068AlphaDummy412 f), (nb068AlphaDummy329, nb068AlphaDummy332 f), (nb068AlphaDummy328, nb068AlphaDummy331 f), (nb068AlphaDummy327, nb068AlphaDummy330 f), (nb068AlphaDummy333, nb068AlphaDummy334 f), (nb068AlphaDummy325, nb068AlphaDummy326 f), (nb068AlphaDummy323, nb068AlphaDummy324 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] ((Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy179) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb068AlphaDummy175) Compiler.CompactSourceSyntax.synC1c)) (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy175) Compiler.CompactSourceSyntax.synCnnc)).neg.imp (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy179) (SemanticCore.Class.cv nb068AlphaDummy175)) (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy175) Compiler.CompactSourceSyntax.synCnnc).neg)) ((Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy180 f)) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb068AlphaDummy177 f)) Compiler.CompactSourceSyntax.synC1c)) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy177 f)) Compiler.CompactSourceSyntax.synCnnc)).neg.imp (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy180 f)) (SemanticCore.Class.cv (nb068AlphaDummy177 f))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy177 f)) Compiler.CompactSourceSyntax.synCnnc).neg))

                  Checked nominal proof certificate identified upstream as nb068_split_alpha_0116.

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                    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0117 (x y f : SemanticCore.Var) :
                    Nominal.TAlphaWff [(nb068AlphaDummy183, nb068AlphaDummy186 f), (nb068AlphaDummy182, nb068AlphaDummy185 f), (nb068AlphaDummy181, nb068AlphaDummy184 f), (nb068AlphaDummy179, nb068AlphaDummy180 f), (nb068AlphaDummy175, nb068AlphaDummy177 f), (nb068AlphaDummy176, nb068AlphaDummy178 f), (nb068AlphaDummy201, nb068AlphaDummy202 f), (nb068AlphaDummy199, nb068AlphaDummy200 f), (nb068AlphaDummy168, nb068AlphaDummy170 f), (nb068AlphaDummy167, nb068AlphaDummy169 f), (nb068AlphaDummy197, nb068AlphaDummy198 f), (nb068AlphaDummy171, nb068AlphaDummy172 f), (nb068AlphaDummy126, nb068AlphaDummy128 f), (nb068AlphaDummy125, nb068AlphaDummy127 f), (nb068AlphaDummy129, nb068AlphaDummy130 f), (nb068AlphaDummy408, nb068AlphaDummy410 f), (nb068AlphaDummy407, nb068AlphaDummy409 f), (nb068AlphaDummy411, nb068AlphaDummy412 f), (nb068AlphaDummy329, nb068AlphaDummy332 f), (nb068AlphaDummy328, nb068AlphaDummy331 f), (nb068AlphaDummy327, nb068AlphaDummy330 f), (nb068AlphaDummy333, nb068AlphaDummy334 f), (nb068AlphaDummy325, nb068AlphaDummy326 f), (nb068AlphaDummy323, nb068AlphaDummy324 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb068AlphaDummy182) (SemanticCore.Class.cv nb068AlphaDummy183)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy181) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb068AlphaDummy182) (SemanticCore.Class.cv nb068AlphaDummy183))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb068AlphaDummy185 f)) (SemanticCore.Class.cv (nb068AlphaDummy186 f))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy184 f)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb068AlphaDummy185 f)) (SemanticCore.Class.cv (nb068AlphaDummy186 f)))).neg)

                    Checked nominal proof certificate identified upstream as nb068_split_alpha_0117.

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                      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0118 (x y f : SemanticCore.Var) :
                      Nominal.TAlphaWff [(nb068AlphaDummy179, nb068AlphaDummy180 f), (nb068AlphaDummy175, nb068AlphaDummy177 f), (nb068AlphaDummy176, nb068AlphaDummy178 f), (nb068AlphaDummy201, nb068AlphaDummy202 f), (nb068AlphaDummy199, nb068AlphaDummy200 f), (nb068AlphaDummy168, nb068AlphaDummy170 f), (nb068AlphaDummy167, nb068AlphaDummy169 f), (nb068AlphaDummy197, nb068AlphaDummy198 f), (nb068AlphaDummy171, nb068AlphaDummy172 f), (nb068AlphaDummy126, nb068AlphaDummy128 f), (nb068AlphaDummy125, nb068AlphaDummy127 f), (nb068AlphaDummy129, nb068AlphaDummy130 f), (nb068AlphaDummy408, nb068AlphaDummy410 f), (nb068AlphaDummy407, nb068AlphaDummy409 f), (nb068AlphaDummy411, nb068AlphaDummy412 f), (nb068AlphaDummy329, nb068AlphaDummy332 f), (nb068AlphaDummy328, nb068AlphaDummy331 f), (nb068AlphaDummy327, nb068AlphaDummy330 f), (nb068AlphaDummy333, nb068AlphaDummy334 f), (nb068AlphaDummy325, nb068AlphaDummy326 f), (nb068AlphaDummy323, nb068AlphaDummy324 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] ((Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy179) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb068AlphaDummy175) Compiler.CompactSourceSyntax.synC1c)) (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy175) Compiler.CompactSourceSyntax.synCnnc)).neg.imp (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy179) (SemanticCore.Class.cv nb068AlphaDummy175)) (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy175) Compiler.CompactSourceSyntax.synCnnc).neg)) ((Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy180 f)) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb068AlphaDummy177 f)) Compiler.CompactSourceSyntax.synC1c)) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy177 f)) Compiler.CompactSourceSyntax.synCnnc)).neg.imp (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy180 f)) (SemanticCore.Class.cv (nb068AlphaDummy177 f))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy177 f)) Compiler.CompactSourceSyntax.synCnnc).neg))

                      Checked nominal proof certificate identified upstream as nb068_split_alpha_0118.

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                        Certificates from NAR4C068C001Part046.

                        noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0119 (x y f : SemanticCore.Var) :
                        Nominal.TAlphaWff [(nb068AlphaDummy168, nb068AlphaDummy170 f), (nb068AlphaDummy167, nb068AlphaDummy169 f), (nb068AlphaDummy197, nb068AlphaDummy198 f), (nb068AlphaDummy171, nb068AlphaDummy172 f), (nb068AlphaDummy126, nb068AlphaDummy128 f), (nb068AlphaDummy125, nb068AlphaDummy127 f), (nb068AlphaDummy129, nb068AlphaDummy130 f), (nb068AlphaDummy408, nb068AlphaDummy410 f), (nb068AlphaDummy407, nb068AlphaDummy409 f), (nb068AlphaDummy411, nb068AlphaDummy412 f), (nb068AlphaDummy329, nb068AlphaDummy332 f), (nb068AlphaDummy328, nb068AlphaDummy331 f), (nb068AlphaDummy327, nb068AlphaDummy330 f), (nb068AlphaDummy333, nb068AlphaDummy334 f), (nb068AlphaDummy325, nb068AlphaDummy326 f), (nb068AlphaDummy323, nb068AlphaDummy324 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy168) (SemanticCore.Class.cv nb068AlphaDummy125)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy167) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy168)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy170 f)) (SemanticCore.Class.cv (nb068AlphaDummy127 f))).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy169 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy170 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

                        Checked nominal proof certificate identified upstream as nb068_split_alpha_0119.

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                          noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0120 (x y f : SemanticCore.Var) :
                          Nominal.TAlphaWff [(nb068AlphaDummy171, nb068AlphaDummy172 f), (nb068AlphaDummy126, nb068AlphaDummy128 f), (nb068AlphaDummy125, nb068AlphaDummy127 f), (nb068AlphaDummy129, nb068AlphaDummy130 f), (nb068AlphaDummy408, nb068AlphaDummy410 f), (nb068AlphaDummy407, nb068AlphaDummy409 f), (nb068AlphaDummy411, nb068AlphaDummy412 f), (nb068AlphaDummy329, nb068AlphaDummy332 f), (nb068AlphaDummy328, nb068AlphaDummy331 f), (nb068AlphaDummy327, nb068AlphaDummy330 f), (nb068AlphaDummy333, nb068AlphaDummy334 f), (nb068AlphaDummy325, nb068AlphaDummy326 f), (nb068AlphaDummy323, nb068AlphaDummy324 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy171) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb068AlphaDummy167 (Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy168 (SemanticCore.Class.cv nb068AlphaDummy126) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy167) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy168))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy171) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb068AlphaDummy167 (Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy168 (SemanticCore.Class.cv nb068AlphaDummy125) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy167) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy168)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy172 f)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb068AlphaDummy169 f) (Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy170 f) (SemanticCore.Class.cv (nb068AlphaDummy128 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy169 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy170 f)))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy172 f)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb068AlphaDummy169 f) (Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy170 f) (SemanticCore.Class.cv (nb068AlphaDummy127 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy169 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy170 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg)

                          Checked nominal proof certificate identified upstream as nb068_split_alpha_0120.

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                            Checked nominal proof certificate identified upstream as nb068_split_alpha_0122.

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                              noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0123 (x y f : SemanticCore.Var) :
                              Nominal.TAlphaWff [(nb068AlphaDummy501, nb068AlphaDummy504 f), (nb068AlphaDummy500, nb068AlphaDummy503 f), (nb068AlphaDummy499, nb068AlphaDummy502 f), (nb068AlphaDummy497, nb068AlphaDummy498 f), (nb068AlphaDummy493, nb068AlphaDummy495 f), (nb068AlphaDummy494, nb068AlphaDummy496 f), (nb068AlphaDummy486, nb068AlphaDummy488 f), (nb068AlphaDummy485, nb068AlphaDummy487 f), (nb068AlphaDummy491, nb068AlphaDummy492 f), (nb068AlphaDummy489, nb068AlphaDummy490 f), (nb068AlphaDummy329, nb068AlphaDummy332 f), (nb068AlphaDummy328, nb068AlphaDummy331 f), (nb068AlphaDummy327, nb068AlphaDummy330 f), (nb068AlphaDummy333, nb068AlphaDummy334 f), (nb068AlphaDummy325, nb068AlphaDummy326 f), (nb068AlphaDummy323, nb068AlphaDummy324 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb068AlphaDummy500) (SemanticCore.Class.cv nb068AlphaDummy501)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy499) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb068AlphaDummy500) (SemanticCore.Class.cv nb068AlphaDummy501))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb068AlphaDummy503 f)) (SemanticCore.Class.cv (nb068AlphaDummy504 f))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy502 f)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb068AlphaDummy503 f)) (SemanticCore.Class.cv (nb068AlphaDummy504 f)))).neg)

                              Checked nominal proof certificate identified upstream as nb068_split_alpha_0123.

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                                Certificates from NAR4C068C001Part047.

                                noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0124 (x y f : SemanticCore.Var) :
                                Nominal.TAlphaWff [(nb068AlphaDummy493, nb068AlphaDummy495 f), (nb068AlphaDummy494, nb068AlphaDummy496 f), (nb068AlphaDummy486, nb068AlphaDummy488 f), (nb068AlphaDummy485, nb068AlphaDummy487 f), (nb068AlphaDummy491, nb068AlphaDummy492 f), (nb068AlphaDummy489, nb068AlphaDummy490 f), (nb068AlphaDummy329, nb068AlphaDummy332 f), (nb068AlphaDummy328, nb068AlphaDummy331 f), (nb068AlphaDummy327, nb068AlphaDummy330 f), (nb068AlphaDummy333, nb068AlphaDummy334 f), (nb068AlphaDummy325, nb068AlphaDummy326 f), (nb068AlphaDummy323, nb068AlphaDummy324 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy493) (SemanticCore.Class.cv nb068AlphaDummy486)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy494) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy493) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb068AlphaDummy493) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv nb068AlphaDummy493))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy495 f)) (SemanticCore.Class.cv (nb068AlphaDummy488 f))).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy496 f)) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy495 f)) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb068AlphaDummy495 f)) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv (nb068AlphaDummy495 f)))).neg)

                                Checked nominal proof certificate identified upstream as nb068_split_alpha_0124.

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                                  noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0125 (x y f : SemanticCore.Var) :
                                  Nominal.TAlphaWff [(nb068AlphaDummy501, nb068AlphaDummy504 f), (nb068AlphaDummy500, nb068AlphaDummy503 f), (nb068AlphaDummy499, nb068AlphaDummy502 f), (nb068AlphaDummy497, nb068AlphaDummy498 f), (nb068AlphaDummy493, nb068AlphaDummy495 f), (nb068AlphaDummy494, nb068AlphaDummy496 f), (nb068AlphaDummy519, nb068AlphaDummy520 f), (nb068AlphaDummy517, nb068AlphaDummy518 f), (nb068AlphaDummy486, nb068AlphaDummy488 f), (nb068AlphaDummy485, nb068AlphaDummy487 f), (nb068AlphaDummy515, nb068AlphaDummy516 f), (nb068AlphaDummy489, nb068AlphaDummy490 f), (nb068AlphaDummy329, nb068AlphaDummy332 f), (nb068AlphaDummy328, nb068AlphaDummy331 f), (nb068AlphaDummy327, nb068AlphaDummy330 f), (nb068AlphaDummy333, nb068AlphaDummy334 f), (nb068AlphaDummy325, nb068AlphaDummy326 f), (nb068AlphaDummy323, nb068AlphaDummy324 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb068AlphaDummy500) (SemanticCore.Class.cv nb068AlphaDummy501)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy499) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb068AlphaDummy500) (SemanticCore.Class.cv nb068AlphaDummy501))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb068AlphaDummy503 f)) (SemanticCore.Class.cv (nb068AlphaDummy504 f))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy502 f)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb068AlphaDummy503 f)) (SemanticCore.Class.cv (nb068AlphaDummy504 f)))).neg)

                                  Checked nominal proof certificate identified upstream as nb068_split_alpha_0125.

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                                    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0126 (x y f : SemanticCore.Var) :
                                    Nominal.TAlphaWff [(nb068AlphaDummy493, nb068AlphaDummy495 f), (nb068AlphaDummy494, nb068AlphaDummy496 f), (nb068AlphaDummy519, nb068AlphaDummy520 f), (nb068AlphaDummy517, nb068AlphaDummy518 f), (nb068AlphaDummy486, nb068AlphaDummy488 f), (nb068AlphaDummy485, nb068AlphaDummy487 f), (nb068AlphaDummy515, nb068AlphaDummy516 f), (nb068AlphaDummy489, nb068AlphaDummy490 f), (nb068AlphaDummy329, nb068AlphaDummy332 f), (nb068AlphaDummy328, nb068AlphaDummy331 f), (nb068AlphaDummy327, nb068AlphaDummy330 f), (nb068AlphaDummy333, nb068AlphaDummy334 f), (nb068AlphaDummy325, nb068AlphaDummy326 f), (nb068AlphaDummy323, nb068AlphaDummy324 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy493) (SemanticCore.Class.cv nb068AlphaDummy486)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy494) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy493) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb068AlphaDummy493) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv nb068AlphaDummy493))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy495 f)) (SemanticCore.Class.cv (nb068AlphaDummy488 f))).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy496 f)) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy495 f)) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb068AlphaDummy495 f)) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv (nb068AlphaDummy495 f)))).neg)

                                    Checked nominal proof certificate identified upstream as nb068_split_alpha_0126.

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                                      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb068SplitAlpha0127 (x y f : SemanticCore.Var) :
                                      Nominal.TAlphaWff [(nb068AlphaDummy515, nb068AlphaDummy516 f), (nb068AlphaDummy489, nb068AlphaDummy490 f), (nb068AlphaDummy329, nb068AlphaDummy332 f), (nb068AlphaDummy328, nb068AlphaDummy331 f), (nb068AlphaDummy327, nb068AlphaDummy330 f), (nb068AlphaDummy333, nb068AlphaDummy334 f), (nb068AlphaDummy325, nb068AlphaDummy326 f), (nb068AlphaDummy323, nb068AlphaDummy324 f), (nb068AlphaDummy000, f), (nb068AlphaDummy002, y), (nb068AlphaDummy001, x), (nb068AlphaDummy003, nb068AlphaDummy004 x y f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy515) (SemanticCore.Class.cab nb068AlphaDummy485 (Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy486 (SemanticCore.Class.cv nb068AlphaDummy328) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy485) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy486)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb068AlphaDummy515) (SemanticCore.Class.cab nb068AlphaDummy485 (Compiler.CompactSourceSyntax.synWrex nb068AlphaDummy486 (SemanticCore.Class.cv nb068AlphaDummy328) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb068AlphaDummy485) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb068AlphaDummy486)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy516 f)) (SemanticCore.Class.cab (nb068AlphaDummy487 f) (Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy488 f) (SemanticCore.Class.cv (nb068AlphaDummy331 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy487 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy488 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb068AlphaDummy516 f)) (SemanticCore.Class.cab (nb068AlphaDummy487 f) (Compiler.CompactSourceSyntax.synWrex (nb068AlphaDummy488 f) (SemanticCore.Class.cv (nb068AlphaDummy331 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb068AlphaDummy487 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb068AlphaDummy488 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).neg)

                                      Checked nominal proof certificate identified upstream as nb068_split_alpha_0127.

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