Documentation

LeanPool.NFWeakPartition.NAR4C079C001Part005

NF weak partition development: NAR4C079C001Part005.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb079SplitAlpha0001 (x y z : SemanticCore.Var) (A : SemanticCore.Class) (dv_A_x : x ∉ A.fv) (dv_A_y : y ∉ A.fv) (dv_A_z : z ∉ A.fv) (dv_x_y : x ≠ y) (dv_x_z : x ≠ z) (dv_y_z : y ≠ z) :
Nominal.TAlphaWff [(nb079AlphaDummy001 A, y), (nb079AlphaDummy000 A, x), (nb079AlphaDummy002 A, z)] ((SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb079AlphaDummy002 A)) (Compiler.CompactSourceSyntax.synCopk (SemanticCore.Class.cv (nb079AlphaDummy000 A)) (SemanticCore.Class.cv (nb079AlphaDummy001 A)))).imp (SemanticCore.Wff.classMem (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv (nb079AlphaDummy000 A)) (SemanticCore.Class.cv (nb079AlphaDummy001 A))) A).neg) ((SemanticCore.Wff.classEq (SemanticCore.Class.cv z) (Compiler.CompactSourceSyntax.synCopk (SemanticCore.Class.cv x) (SemanticCore.Class.cv y))).imp (SemanticCore.Wff.classMem (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv x) (SemanticCore.Class.cv y)) A).neg)

Checked nominal proof certificate identified upstream as nb079_split_alpha_0001.

Equations
  • One or more equations did not get rendered due to their size.
Instances For
    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nominalDfQkrel (x y z : SemanticCore.Var) (A : SemanticCore.Class) (dv_A_x : x ∉ A.fv) (dv_A_y : y ∉ A.fv) (dv_A_z : z ∉ A.fv) (dv_x_y : x ≠ y) (dv_x_z : x ≠ z) (dv_y_z : y ≠ z) :
    Nominal.NPrf (SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCqkrel A) (SemanticCore.Class.cab z (Compiler.CompactSourceSyntax.synWex x (Compiler.CompactSourceSyntax.synWex y (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classEq (SemanticCore.Class.cv z) (Compiler.CompactSourceSyntax.synCopk (SemanticCore.Class.cv x) (SemanticCore.Class.cv y))) (SemanticCore.Wff.classMem (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv x) (SemanticCore.Class.cv y)) A))))))

    Checked nominal proof certificate identified upstream as nominal_df_qkrel.

    Equations
    • One or more equations did not get rendered due to their size.
    Instances For