NF weak partition development: NominalAlphaRepairedBase001019Sik.
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nominalDfSik
(x y z u t : SemanticCore.Var)
(A : SemanticCore.Class)
(dv_A_t : t ∉ A.fv)
(dv_A_u : u ∉ A.fv)
(dv_A_x : x ∉ A.fv)
(dv_A_y : y ∉ A.fv)
(dv_A_z : z ∉ A.fv)
(dv_t_u : t ≠ u)
(__dv_t_x : t ≠ x)
(dv_t_y : t ≠ y)
(dv_t_z : t ≠ z)
(dv_u_x : u ≠ x)
(dv_u_y : u ≠ y)
(dv_u_z : u ≠ z)
(dv_x_y : x ≠ y)
(dv_x_z : x ≠ z)
(dv_y_z : y ≠ z)
:
Nominal.NPrf
(SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCsik A)
(SemanticCore.Class.cab x
(Compiler.CompactSourceSyntax.synWex y
(Compiler.CompactSourceSyntax.synWex z
(Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classEq (SemanticCore.Class.cv x)
(Compiler.CompactSourceSyntax.synCopk (SemanticCore.Class.cv y) (SemanticCore.Class.cv z)))
(Compiler.CompactSourceSyntax.synWex t
(Compiler.CompactSourceSyntax.synWex u
(Compiler.CompactSourceSyntax.synW3a
(SemanticCore.Wff.classEq (SemanticCore.Class.cv y)
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv t)))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv z)
(Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))
(SemanticCore.Wff.classMem
(Compiler.CompactSourceSyntax.synCopk (SemanticCore.Class.cv t) (SemanticCore.Class.cv u))
A)))))))))
Checked nominal proof certificate identified upstream as nominal_df_sik.
Equations
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