Documentation

LeanPool.NFWeakPartition.Certificates.NAR4C090C001Block020

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C090C001Part058.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0035 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) :
Nominal.TAlphaWff [(nb090AlphaDummy341 A, nb090AlphaDummy342 h), (nb090AlphaDummy334 A, nb090AlphaDummy336 h), (nb090AlphaDummy333 A, nb090AlphaDummy335 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy341 A)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb090AlphaDummy337 A) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy338 A) (SemanticCore.Class.cv (nb090AlphaDummy334 A)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy337 A)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy338 A)))))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy342 h)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb090AlphaDummy339 h) (Compiler.CompactSourceSyntax.synWrex (nb090AlphaDummy340 h) (SemanticCore.Class.cv (nb090AlphaDummy336 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy339 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy340 h))))))))

Checked nominal proof certificate identified upstream as nb090_split_alpha_0035.

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    Certificates from NAR4C090C001Part059.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0036 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb090AlphaDummy338 A, nb090AlphaDummy340 h), (nb090AlphaDummy337 A, nb090AlphaDummy339 h), (nb090AlphaDummy367 A, nb090AlphaDummy368 h), (nb090AlphaDummy341 A, nb090AlphaDummy342 h), (nb090AlphaDummy334 A, nb090AlphaDummy336 h), (nb090AlphaDummy333 A, nb090AlphaDummy335 h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy338 A)) (SemanticCore.Class.cv (nb090AlphaDummy333 A))).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy337 A)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy338 A))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy340 h)) (SemanticCore.Class.cv (nb090AlphaDummy335 h))).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy339 h)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb090AlphaDummy340 h))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

    Checked nominal proof certificate identified upstream as nb090_split_alpha_0036.

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      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0037 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) (dv_h_v : h ≠ v) :
      Nominal.TAlphaWff [(nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] (SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv (nb090AlphaDummy000 A))) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv (nb090AlphaDummy002 A)))) (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv (nb090AlphaDummy000 A)))) (SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv h)) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv v))) (Compiler.CompactSourceSyntax.synCrn (SemanticCore.Class.cv h)))

      Checked nominal proof certificate identified upstream as nb090_split_alpha_0037.

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        source
        theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090_compact_fv_empty_0340 (A : SemanticCore.Class) :
        nb090AlphaDummy421 A ∉ ∅