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LeanPool.NFWeakPartition.Certificates.NAR4C077C001Block016

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C077C001Part045.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077SplitAlpha0031 (x : SemanticCore.Var) (F I : SemanticCore.Class) :
Nominal.TAlphaWff [(nb077AlphaDummy293 F I, nb077AlphaDummy294 x), (nb077AlphaDummy291 F I, nb077AlphaDummy292 x), (nb077AlphaDummy260 F I, nb077AlphaDummy262 x), (nb077AlphaDummy259 F I, nb077AlphaDummy261 x), (nb077AlphaDummy289 F I, nb077AlphaDummy290 x), (nb077AlphaDummy263 F I, nb077AlphaDummy264 x), (nb077AlphaDummy255 F I, nb077AlphaDummy256 x), (nb077AlphaDummy000 F I, x), (nb077AlphaDummy257 F I, nb077AlphaDummy258 x), (nb077AlphaDummy141 F I, nb077AlphaDummy144 x), (nb077AlphaDummy140 F I, nb077AlphaDummy143 x), (nb077AlphaDummy139 F I, nb077AlphaDummy142 x), (nb077AlphaDummy145 F I, nb077AlphaDummy146 x), (nb077AlphaDummy061 F I, nb077AlphaDummy064 x), (nb077AlphaDummy060 F I, nb077AlphaDummy063 x), (nb077AlphaDummy059 F I, nb077AlphaDummy062 x), (nb077AlphaDummy065 F I, nb077AlphaDummy066 x), (nb077AlphaDummy057 F I, nb077AlphaDummy058 x F), (nb077AlphaDummy055 F I, nb077AlphaDummy056 x F), (nb077AlphaDummy016 F I, nb077AlphaDummy018 x F I), (nb077AlphaDummy015 F I, nb077AlphaDummy017 x F I), (nb077AlphaDummy001 F I, nb077AlphaDummy002 x F I), (nb077AlphaDummy004 F I, nb077AlphaDummy006 x F I), (nb077AlphaDummy003 F I, nb077AlphaDummy005 x F I)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy293 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy260 F I)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy293 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy260 F I)))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy294 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy262 x)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy294 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy262 x)))).neg)

Checked nominal proof certificate identified upstream as nb077_split_alpha_0031.

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    Certificates from NAR4C077C001Part046.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077SplitAlpha0032 (x : SemanticCore.Var) (F I : SemanticCore.Class) :
    Nominal.TAlphaWff [(nb077AlphaDummy141 F I, nb077AlphaDummy144 x), (nb077AlphaDummy140 F I, nb077AlphaDummy143 x), (nb077AlphaDummy139 F I, nb077AlphaDummy142 x), (nb077AlphaDummy145 F I, nb077AlphaDummy146 x), (nb077AlphaDummy061 F I, nb077AlphaDummy064 x), (nb077AlphaDummy060 F I, nb077AlphaDummy063 x), (nb077AlphaDummy059 F I, nb077AlphaDummy062 x), (nb077AlphaDummy065 F I, nb077AlphaDummy066 x), (nb077AlphaDummy057 F I, nb077AlphaDummy058 x F), (nb077AlphaDummy055 F I, nb077AlphaDummy056 x F), (nb077AlphaDummy016 F I, nb077AlphaDummy018 x F I), (nb077AlphaDummy015 F I, nb077AlphaDummy017 x F I), (nb077AlphaDummy001 F I, nb077AlphaDummy002 x F I), (nb077AlphaDummy004 F I, nb077AlphaDummy006 x F I), (nb077AlphaDummy003 F I, nb077AlphaDummy005 x F I)] ((Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy139 F I)) Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv (nb077AlphaDummy141 F I))).imp (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy141 F I)) (Compiler.CompactSourceSyntax.synCmpt (nb077AlphaDummy000 F I) Compiler.CompactSourceSyntax.synCvv (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb077AlphaDummy000 F I)) Compiler.CompactSourceSyntax.synC1c)) (SemanticCore.Class.cv (nb077AlphaDummy140 F I))).neg) ((Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy142 x)) Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv (nb077AlphaDummy144 x))).imp (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb077AlphaDummy144 x)) (Compiler.CompactSourceSyntax.synCmpt x Compiler.CompactSourceSyntax.synCvv (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC1c)) (SemanticCore.Class.cv (nb077AlphaDummy143 x))).neg)

    Checked nominal proof certificate identified upstream as nb077_split_alpha_0032.

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      Certificates from NAR4C077C001Part047.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077SplitAlpha0033 (x : SemanticCore.Var) (F I : SemanticCore.Class) :
      Nominal.TAlphaWff [(nb077AlphaDummy317 F I, nb077AlphaDummy318 x), (nb077AlphaDummy315 F I, nb077AlphaDummy316 x), (nb077AlphaDummy061 F I, nb077AlphaDummy064 x), (nb077AlphaDummy060 F I, nb077AlphaDummy063 x), (nb077AlphaDummy059 F I, nb077AlphaDummy062 x), (nb077AlphaDummy065 F I, nb077AlphaDummy066 x), (nb077AlphaDummy057 F I, nb077AlphaDummy058 x F), (nb077AlphaDummy055 F I, nb077AlphaDummy056 x F), (nb077AlphaDummy016 F I, nb077AlphaDummy018 x F I), (nb077AlphaDummy015 F I, nb077AlphaDummy017 x F I), (nb077AlphaDummy001 F I, nb077AlphaDummy002 x F I), (nb077AlphaDummy004 F I, nb077AlphaDummy006 x F I), (nb077AlphaDummy003 F I, nb077AlphaDummy005 x F I)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy317 F I)) (SemanticCore.Class.cab (nb077AlphaDummy311 F I) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy312 F I) (SemanticCore.Class.cv (nb077AlphaDummy061 F I)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy311 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy312 F I))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy317 F I)) (SemanticCore.Class.cab (nb077AlphaDummy311 F I) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy312 F I) (SemanticCore.Class.cv (nb077AlphaDummy061 F I)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy311 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy312 F I))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy318 x)) (SemanticCore.Class.cab (nb077AlphaDummy313 x) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy314 x) (SemanticCore.Class.cv (nb077AlphaDummy064 x)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy313 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy314 x))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy318 x)) (SemanticCore.Class.cab (nb077AlphaDummy313 x) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy314 x) (SemanticCore.Class.cv (nb077AlphaDummy064 x)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy313 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy314 x))))))).neg)

      Checked nominal proof certificate identified upstream as nb077_split_alpha_0033.

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