NF weak partition development: NominalWPPReplayChunk017Compact001Part083.
noncomputable def
NFChoice.DirectNominalPrf.WPPReplay.gHninjraisedselfcutalldndv
(x u : SemanticCore.Var)
(A : SemanticCore.Class)
(f s r : SemanticCore.Var)
(_dv_A_f : f ∉ A.fv)
(dv_A_r : r ∉ A.fv)
(_dv_A_s : s ∉ A.fv)
(dv_A_u : u ∉ A.fv)
(dv_A_x : x ∉ A.fv)
(_dv_f_r : f ≠ r)
(_dv_f_s : f ≠ s)
(dv_f_u : f ≠ u)
(dv_f_x : f ≠ x)
(_dv_r_s : r ≠ s)
(dv_r_u : r ≠ u)
(dv_r_x : r ≠ x)
(dv_s_u : s ≠ u)
(dv_s_x : s ≠ x)
(dv_u_x : u ≠ x)
(hyp_hninjraisedselfcutalldndv_1 : Nominal.NPrf (SemanticCore.Wff.classMem A Compiler.CompactSourceSyntax.synCvv))
:
Nominal.NPrf
((Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWf1 (SemanticCore.Class.cv f) (Compiler.CompactSourceSyntax.synChnord A)
(Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 A)))
(Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classEq (SemanticCore.Class.cv r) (Compiler.CompactSourceSyntax.synChncodecmpset A))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv s)
(Compiler.CompactSourceSyntax.synClnqord (SemanticCore.Class.cv r)
(Compiler.CompactSourceSyntax.synChwcn A))))).imp
(Compiler.CompactSourceSyntax.synWrex u
(Compiler.CompactSourceSyntax.synChwcn
(Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 A)))
(Compiler.CompactSourceSyntax.synWrex x
(Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv u))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv u)
(Compiler.CompactSourceSyntax.synChwniso
(Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 A)))
(Compiler.CompactSourceSyntax.synChnwcutcode
(Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv u))
(Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC2nd (SemanticCore.Class.cv u))
(SemanticCore.Class.cv x))))))
Checked nominal proof certificate identified upstream as g_hninjraisedselfcutalldndv.
Equations
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