Nominal proof certificates grouped in dependency order.

Certificates from NAR4C090C001Part121.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0098 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) (dv_h_u : h ≠ u) (dv_h_v : h ≠ v) (dv_u_v : u ≠ v) : Nominal.TAlphaWff [(nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((Compiler.CompactSourceSyntax.synWf1o (SemanticCore.Class.cv (nb090AlphaDummy000 A)) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv (nb090AlphaDummy001 A))) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv (nb090AlphaDummy002 A)))).imp (Compiler.CompactSourceSyntax.synWral (nb090AlphaDummy041 A) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv (nb090AlphaDummy001 A))) (Compiler.CompactSourceSyntax.synWral (nb090AlphaDummy042 A) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv (nb090AlphaDummy001 A))) (Compiler.CompactSourceSyntax.synWb (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy041 A)) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv (nb090AlphaDummy001 A))) (SemanticCore.Class.cv (nb090AlphaDummy042 A))) (Compiler.CompactSourceSyntax.synWbr (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb090AlphaDummy000 A)) (SemanticCore.Class.cv (nb090AlphaDummy041 A))) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv (nb090AlphaDummy002 A))) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb090AlphaDummy000 A)) (SemanticCore.Class.cv (nb090AlphaDummy042 A))))))).neg) ((Compiler.CompactSourceSyntax.synWf1o (SemanticCore.Class.cv h) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv u)) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv v))).imp (Compiler.CompactSourceSyntax.synWral (nb090AlphaDummy043 v u h) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv u)) (Compiler.CompactSourceSyntax.synWral (nb090AlphaDummy044 v u h) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv u)) (Compiler.CompactSourceSyntax.synWb (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy043 v u h)) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv u)) (SemanticCore.Class.cv (nb090AlphaDummy044 v u h))) (Compiler.CompactSourceSyntax.synWbr (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv h) (SemanticCore.Class.cv (nb090AlphaDummy043 v u h))) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv v)) (Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv h) (SemanticCore.Class.cv (nb090AlphaDummy044 v u h))))))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0098.

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Certificates from NAR4C090C001Part122.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0099 (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) (dv_A_u : u ∉ A.fv) (dv_A_v : v ∉ A.fv) (dv_h_u : h ≠ u) (dv_h_v : h ≠ v) (dv_u_v : u ≠ v) : Nominal.TAlphaWff [(nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)] ((SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy003 A)) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv (nb090AlphaDummy001 A)) (SemanticCore.Class.cv (nb090AlphaDummy002 A)))).imp (Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy001 A)) (Compiler.CompactSourceSyntax.synChwcodes A)) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb090AlphaDummy002 A)) (Compiler.CompactSourceSyntax.synChwcodes A))) (Compiler.CompactSourceSyntax.synWex (nb090AlphaDummy000 A) (Compiler.CompactSourceSyntax.synWiso (SemanticCore.Class.cv (nb090AlphaDummy000 A)) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv (nb090AlphaDummy001 A))) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv (nb090AlphaDummy002 A))) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv (nb090AlphaDummy001 A))) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv (nb090AlphaDummy002 A)))))).neg) ((SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb090AlphaDummy004 v u A h)) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv u) (SemanticCore.Class.cv v))).imp (Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synChwcodes A)) (SemanticCore.Wff.classMem (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synChwcodes A))) (Compiler.CompactSourceSyntax.synWex h (Compiler.CompactSourceSyntax.synWiso (SemanticCore.Class.cv h) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv u)) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv v)) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv u)) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv v))))).neg)

Checked nominal proof certificate identified upstream as nb090_split_alpha_0099.

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noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nominalDfHwiso (v u : SemanticCore.Var) (A : SemanticCore.Class) (h : SemanticCore.Var) (_dv_A_h : h ∉ A.fv) (dv_A_u : u ∉ A.fv) (dv_A_v : v ∉ A.fv) (dv_h_u : h ≠ u) (dv_h_v : h ≠ v) (dv_u_v : u ≠ v) : Nominal.NPrf (SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synChwiso A) (Compiler.CompactSourceSyntax.synCopab u v (Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv u) (Compiler.CompactSourceSyntax.synChwcodes A)) (SemanticCore.Wff.classMem (SemanticCore.Class.cv v) (Compiler.CompactSourceSyntax.synChwcodes A))) (Compiler.CompactSourceSyntax.synWex h (Compiler.CompactSourceSyntax.synWiso (SemanticCore.Class.cv h) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv u)) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv v)) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv u)) (Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv v)))))))

Checked nominal proof certificate identified upstream as nominal_df_hwiso.

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