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LeanPool.NFWeakPartition.NAR4H5C095M3Part032

NF weak partition development: NAR4H5C095M3Part032.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095SplitAlpha0067 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :
Nominal.TAlphaWff [(nb095AlphaDummy139 D R S_cls E, nb095AlphaDummy140 f), (nb095AlphaDummy137 D R S_cls E, nb095AlphaDummy138 f), (nb095AlphaDummy092 D R S_cls E, nb095AlphaDummy094 f), (nb095AlphaDummy091 D R S_cls E, nb095AlphaDummy093 f), (nb095AlphaDummy095 D R S_cls E, nb095AlphaDummy096 f), (nb095AlphaDummy466 D R S_cls E, nb095AlphaDummy468 f), (nb095AlphaDummy465 D R S_cls E, nb095AlphaDummy467 f), (nb095AlphaDummy469 D R S_cls E, nb095AlphaDummy470 f), (nb095AlphaDummy387 D R S_cls E, nb095AlphaDummy390 f), (nb095AlphaDummy386 D R S_cls E, nb095AlphaDummy389 f), (nb095AlphaDummy385 D R S_cls E, nb095AlphaDummy388 f), (nb095AlphaDummy391 D R S_cls E, nb095AlphaDummy392 f), (nb095AlphaDummy001 D R S_cls E, u), (nb095AlphaDummy002 D R S_cls E, x), (nb095AlphaDummy000 D R S_cls E, f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy139 D R S_cls E)) (SemanticCore.Class.cab (nb095AlphaDummy133 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy134 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy092 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy133 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy134 D R S_cls E))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy139 D R S_cls E)) (SemanticCore.Class.cab (nb095AlphaDummy133 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy134 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy092 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy133 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy134 D R S_cls E))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy140 f)) (SemanticCore.Class.cab (nb095AlphaDummy135 f) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy136 f) (SemanticCore.Class.cv (nb095AlphaDummy094 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy135 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy136 f))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy140 f)) (SemanticCore.Class.cab (nb095AlphaDummy135 f) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy136 f) (SemanticCore.Class.cv (nb095AlphaDummy094 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy135 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy136 f))))))).neg)

Checked nominal proof certificate identified upstream as nb095_split_alpha_0067.

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    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095SplitAlpha0068 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :
    Nominal.TAlphaWff [(nb095AlphaDummy167 D R S_cls E, nb095AlphaDummy168 f), (nb095AlphaDummy165 D R S_cls E, nb095AlphaDummy166 f), (nb095AlphaDummy134 D R S_cls E, nb095AlphaDummy136 f), (nb095AlphaDummy133 D R S_cls E, nb095AlphaDummy135 f), (nb095AlphaDummy163 D R S_cls E, nb095AlphaDummy164 f), (nb095AlphaDummy137 D R S_cls E, nb095AlphaDummy138 f), (nb095AlphaDummy092 D R S_cls E, nb095AlphaDummy094 f), (nb095AlphaDummy091 D R S_cls E, nb095AlphaDummy093 f), (nb095AlphaDummy095 D R S_cls E, nb095AlphaDummy096 f), (nb095AlphaDummy466 D R S_cls E, nb095AlphaDummy468 f), (nb095AlphaDummy465 D R S_cls E, nb095AlphaDummy467 f), (nb095AlphaDummy469 D R S_cls E, nb095AlphaDummy470 f), (nb095AlphaDummy387 D R S_cls E, nb095AlphaDummy390 f), (nb095AlphaDummy386 D R S_cls E, nb095AlphaDummy389 f), (nb095AlphaDummy385 D R S_cls E, nb095AlphaDummy388 f), (nb095AlphaDummy391 D R S_cls E, nb095AlphaDummy392 f), (nb095AlphaDummy001 D R S_cls E, u), (nb095AlphaDummy002 D R S_cls E, x), (nb095AlphaDummy000 D R S_cls E, f)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy167 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy134 D R S_cls E)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy167 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy134 D R S_cls E)))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy168 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy136 f)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy168 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy136 f)))).neg)

    Checked nominal proof certificate identified upstream as nb095_split_alpha_0068.

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      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095SplitAlpha0069 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) (dv_f_u : f ≠ u) (dv_f_x : f ≠ x) :
      Nominal.TAlphaWff [(nb095AlphaDummy387 D R S_cls E, nb095AlphaDummy390 f), (nb095AlphaDummy386 D R S_cls E, nb095AlphaDummy389 f), (nb095AlphaDummy385 D R S_cls E, nb095AlphaDummy388 f), (nb095AlphaDummy391 D R S_cls E, nb095AlphaDummy392 f), (nb095AlphaDummy001 D R S_cls E, u), (nb095AlphaDummy002 D R S_cls E, x), (nb095AlphaDummy000 D R S_cls E, f)] (SemanticCore.Wff.classMem (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E))) (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))))) (SemanticCore.Wff.classMem (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv (nb095AlphaDummy388 f)) (SemanticCore.Class.cv (nb095AlphaDummy390 f))) (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))))

      Checked nominal proof certificate identified upstream as nb095_split_alpha_0069.

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