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LeanPool.NFWeakPartition.AlphaSupport.NAR4H5C095M3Part019Stage2

NF weak partition development: NAR4H5C095M3Part019.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095SplitAlpha0030 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :
Nominal.TAlphaWff [(nb095AlphaDummy305 D R S_cls E, nb095AlphaDummy306 f), (nb095AlphaDummy303 D R S_cls E, nb095AlphaDummy304 f), (nb095AlphaDummy296 D R S_cls E, nb095AlphaDummy298 f), (nb095AlphaDummy295 D R S_cls E, nb095AlphaDummy297 f), (nb095AlphaDummy293 D R S_cls E, nb095AlphaDummy294 u S_cls f E), (nb095AlphaDummy291 D R S_cls E, nb095AlphaDummy292 u S_cls f E), (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 (nb095AlphaDummy305 D R S_cls E)) (SemanticCore.Class.cab (nb095AlphaDummy299 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy300 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy296 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy299 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy300 D R S_cls E))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy305 D R S_cls E)) (SemanticCore.Class.cab (nb095AlphaDummy299 D R S_cls E) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy300 D R S_cls E) (SemanticCore.Class.cv (nb095AlphaDummy296 D R S_cls E)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy299 D R S_cls E)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy300 D R S_cls E))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy306 f)) (SemanticCore.Class.cab (nb095AlphaDummy301 f) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy302 f) (SemanticCore.Class.cv (nb095AlphaDummy298 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy301 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy302 f))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy306 f)) (SemanticCore.Class.cab (nb095AlphaDummy301 f) (Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy302 f) (SemanticCore.Class.cv (nb095AlphaDummy298 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy301 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy302 f))))))).neg)

Checked nominal proof certificate identified upstream as nb095_split_alpha_0030.

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Instances For
    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095SplitAlpha0031 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :
    Nominal.TAlphaWff [(nb095AlphaDummy331 D R S_cls E, nb095AlphaDummy332 f), (nb095AlphaDummy300 D R S_cls E, nb095AlphaDummy302 f), (nb095AlphaDummy299 D R S_cls E, nb095AlphaDummy301 f), (nb095AlphaDummy329 D R S_cls E, nb095AlphaDummy330 f), (nb095AlphaDummy303 D R S_cls E, nb095AlphaDummy304 f), (nb095AlphaDummy296 D R S_cls E, nb095AlphaDummy298 f), (nb095AlphaDummy295 D R S_cls E, nb095AlphaDummy297 f), (nb095AlphaDummy293 D R S_cls E, nb095AlphaDummy294 u S_cls f E), (nb095AlphaDummy291 D R S_cls E, nb095AlphaDummy292 u S_cls f E), (nb095AlphaDummy001 D R S_cls E, u), (nb095AlphaDummy002 D R S_cls E, x), (nb095AlphaDummy000 D R S_cls E, f)] (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy331 D R S_cls E)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy300 D R S_cls E))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy331 D R S_cls E)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy332 f)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy302 f))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy332 f)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))).neg

    Checked nominal proof certificate identified upstream as nb095_split_alpha_0031.

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    Instances For
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      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0021 (D R S_cls E : SemanticCore.Class) :
      nb095AlphaDummy337 D R S_cls E ∉ E.fv
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      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0022 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) :
      nb095AlphaDummy338 u S_cls E ∉ E.fv
      source
      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0023 (D R S_cls E : SemanticCore.Class) :
      nb095AlphaDummy335 D R S_cls E ∉ E.fv
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      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0024 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) :
      nb095AlphaDummy336 u S_cls E ∉ E.fv
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      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0025 (D R S_cls E : SemanticCore.Class) :
      nb095AlphaDummy293 D R S_cls E ∉ E.fv
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      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0026 (u : SemanticCore.Var) (S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :
      nb095AlphaDummy294 u S_cls f E ∉ E.fv
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      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0027 (D R S_cls E : SemanticCore.Class) :
      nb095AlphaDummy291 D R S_cls E ∉ E.fv
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      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_focused_notmem_0028 (u : SemanticCore.Var) (S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :
      nb095AlphaDummy292 u S_cls f E ∉ E.fv
      source
      theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_compact_envfresh_0112 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) (dv_E_f : f ∉ E.fv) (dv_E_u : u ∉ E.fv) (dv_E_x : x ∉ E.fv) :
      Nominal.TEnvFresh [(nb095AlphaDummy337 D R S_cls E, nb095AlphaDummy338 u S_cls E), (nb095AlphaDummy335 D R S_cls E, nb095AlphaDummy336 u S_cls E), (nb095AlphaDummy293 D R S_cls E, nb095AlphaDummy294 u S_cls f E), (nb095AlphaDummy291 D R S_cls E, nb095AlphaDummy292 u S_cls f E), (nb095AlphaDummy001 D R S_cls E, u), (nb095AlphaDummy002 D R S_cls E, x), (nb095AlphaDummy000 D R S_cls E, f)] E.fv