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LeanPool.NFWeakPartition.NAR4H5C095M3Part026

NF weak partition development: NAR4H5C095M3Part026.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095SplitAlpha0049 (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 [(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), (nb095AlphaDummy383 D R S_cls E, nb095AlphaDummy384 f), (nb095AlphaDummy381 D R S_cls E, nb095AlphaDummy382 f), (nb095AlphaDummy001 D R S_cls E, u), (nb095AlphaDummy002 D R S_cls E, x), (nb095AlphaDummy000 D R S_cls E, f)] ((SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy469 D R S_cls E)) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E)) (SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E)))).imp (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E)) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))) (SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E))).neg) ((SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy470 f)) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv (nb095AlphaDummy467 f)) (SemanticCore.Class.cv (nb095AlphaDummy468 f)))).imp (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb095AlphaDummy468 f)) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)) (SemanticCore.Class.cv (nb095AlphaDummy467 f))).neg)

Checked nominal proof certificate identified upstream as nb095_split_alpha_0049.

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    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095SplitAlpha0050 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :
    Nominal.TAlphaWff [(nb095AlphaDummy549 D R S_cls E, nb095AlphaDummy550 f), (nb095AlphaDummy547 D R S_cls E, nb095AlphaDummy548 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), (nb095AlphaDummy383 D R S_cls E, nb095AlphaDummy384 f), (nb095AlphaDummy381 D R S_cls E, nb095AlphaDummy382 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 (nb095AlphaDummy549 D R S_cls E)) (SemanticCore.Class.cab (nb095AlphaDummy543 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy544 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy543 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy544 D R S_cls E))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy549 D R S_cls E)) (SemanticCore.Class.cab (nb095AlphaDummy543 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy544 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy543 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy544 D R S_cls E))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy550 f)) (SemanticCore.Class.cab (nb095AlphaDummy545 f) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy546 f) (SemanticCore.Class.cv (nb095AlphaDummy390 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy545 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy546 f))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy550 f)) (SemanticCore.Class.cab (nb095AlphaDummy545 f) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy546 f) (SemanticCore.Class.cv (nb095AlphaDummy390 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy545 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy546 f))))))).neg)

    Checked nominal proof certificate identified upstream as nb095_split_alpha_0050.

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      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095SplitAlpha0051 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :
      Nominal.TAlphaWff [(nb095AlphaDummy575 D R S_cls E, nb095AlphaDummy576 f), (nb095AlphaDummy544 D R S_cls E, nb095AlphaDummy546 f), (nb095AlphaDummy543 D R S_cls E, nb095AlphaDummy545 f), (nb095AlphaDummy573 D R S_cls E, nb095AlphaDummy574 f), (nb095AlphaDummy547 D R S_cls E, nb095AlphaDummy548 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), (nb095AlphaDummy383 D R S_cls E, nb095AlphaDummy384 f), (nb095AlphaDummy381 D R S_cls E, nb095AlphaDummy382 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 (nb095AlphaDummy575 D R S_cls E)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy544 D R S_cls E))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy576 f)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy546 f)))))

      Checked nominal proof certificate identified upstream as nb095_split_alpha_0051.

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