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LeanPool.NFWeakPartition.NAR4C078C001Part057

NF weak partition development: NAR4C078C001Part057.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0026 (x y f : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy163, nb078AlphaDummy164 f), (nb078AlphaDummy132, nb078AlphaDummy134 f), (nb078AlphaDummy131, nb078AlphaDummy133 f), (nb078AlphaDummy161, nb078AlphaDummy162 f), (nb078AlphaDummy135, nb078AlphaDummy136 f), (nb078AlphaDummy090, nb078AlphaDummy092 f), (nb078AlphaDummy089, nb078AlphaDummy091 f), (nb078AlphaDummy093, nb078AlphaDummy094 f), (nb078AlphaDummy204, nb078AlphaDummy206 f), (nb078AlphaDummy203, nb078AlphaDummy205 f), (nb078AlphaDummy000, f), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy163) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy132)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy163) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy164 f)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy134 f))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy164 f)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

Checked nominal proof certificate identified upstream as nb078_split_alpha_0026.

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    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0027 (x y f : SemanticCore.Var) (dv_f_y : f ≠ y) :
    Nominal.TAlphaWff [(nb078AlphaDummy000, f), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((Compiler.CompactSourceSyntax.synWfun (SemanticCore.Class.cv nb078AlphaDummy000)).imp (SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCdm (SemanticCore.Class.cv nb078AlphaDummy000)) (SemanticCore.Class.cv nb078AlphaDummy004)).neg) ((Compiler.CompactSourceSyntax.synWfun (SemanticCore.Class.cv f)).imp (SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCdm (SemanticCore.Class.cv f)) (SemanticCore.Class.cv y)).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0027.

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