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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block051

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part152.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0131 (x y h : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy1041, nb078AlphaDummy1042 h), (nb078AlphaDummy1010, nb078AlphaDummy1012 h), (nb078AlphaDummy1009, nb078AlphaDummy1011 h), (nb078AlphaDummy1039, nb078AlphaDummy1040 h), (nb078AlphaDummy1013, nb078AlphaDummy1014 h), (nb078AlphaDummy1006, nb078AlphaDummy1008 h), (nb078AlphaDummy1005, nb078AlphaDummy1007 h), (nb078AlphaDummy1003, nb078AlphaDummy1004 y h), (nb078AlphaDummy1001, nb078AlphaDummy1002 y h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1041) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1010)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1041) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1042 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1012 h))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1042 h)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

Checked nominal proof certificate identified upstream as nb078_split_alpha_0131.

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    Certificates from NAR4C078C001Part153.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0132 (x y h : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy1010, nb078AlphaDummy1012 h), (nb078AlphaDummy1009, nb078AlphaDummy1011 h), (nb078AlphaDummy1039, nb078AlphaDummy1040 h), (nb078AlphaDummy1013, nb078AlphaDummy1014 h), (nb078AlphaDummy1006, nb078AlphaDummy1008 h), (nb078AlphaDummy1005, nb078AlphaDummy1007 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1010) (SemanticCore.Class.cv nb078AlphaDummy1005)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1009) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1010)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1012 h)) (SemanticCore.Class.cv (nb078AlphaDummy1007 h))).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1011 h)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1012 h))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0132.

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      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0133 (x y h : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy1013, nb078AlphaDummy1014 h), (nb078AlphaDummy1006, nb078AlphaDummy1008 h), (nb078AlphaDummy1005, nb078AlphaDummy1007 h), (nb078AlphaDummy002, h), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1013) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb078AlphaDummy1009 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1010 (SemanticCore.Class.cv nb078AlphaDummy1006) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1009) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1010))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy1013) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb078AlphaDummy1009 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy1010 (SemanticCore.Class.cv nb078AlphaDummy1005) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy1009) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy1010)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1014 h)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb078AlphaDummy1011 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1012 h) (SemanticCore.Class.cv (nb078AlphaDummy1008 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1011 h)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1012 h)))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy1014 h)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb078AlphaDummy1011 h) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy1012 h) (SemanticCore.Class.cv (nb078AlphaDummy1007 h)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy1011 h)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy1012 h))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0133.

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