NF weak partition development: NominalWPPReplayChunk010Compact001Part042.

noncomputable def NFChoice.DirectNominalPrf.WPPReplay.gSetconslem2 (x : SemanticCore.Var) (A B : SemanticCore.Class) (dv_A_x : x ∉ A.fv) (dv_B_x : x ∉ B.fv) (hyp_setconslem1_1 : Nominal.NPrf (SemanticCore.Wff.classMem A Compiler.CompactSourceSyntax.synCvv)) (hyp_setconslem1_2 : Nominal.NPrf (SemanticCore.Wff.classMem B Compiler.CompactSourceSyntax.synCvv)) : Nominal.NPrf (Compiler.CompactSourceSyntax.synWb (SemanticCore.Wff.classMem (Compiler.CompactSourceSyntax.synCopk (Compiler.CompactSourceSyntax.synCsn A) B) (Compiler.CompactSourceSyntax.synCimak (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCins2k Compiler.CompactSourceSyntax.synCssetk) (Compiler.CompactSourceSyntax.synCins3k (Compiler.CompactSourceSyntax.synCsik (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCimak (Compiler.CompactSourceSyntax.synCsymdif (Compiler.CompactSourceSyntax.synCins2k Compiler.CompactSourceSyntax.synCssetk) (Compiler.CompactSourceSyntax.synCins3k (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCcomk (Compiler.CompactSourceSyntax.synCcnvk (Compiler.CompactSourceSyntax.synCimagek (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCimagek (Compiler.CompactSourceSyntax.synCimak (Compiler.CompactSourceSyntax.synCdif (Compiler.CompactSourceSyntax.synCins3k (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCimak (Compiler.CompactSourceSyntax.synCin (Compiler.CompactSourceSyntax.synCins3k Compiler.CompactSourceSyntax.synCssetk) (Compiler.CompactSourceSyntax.synCins2k Compiler.CompactSourceSyntax.synCssetk)) (Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 Compiler.CompactSourceSyntax.synC1c))))) (Compiler.CompactSourceSyntax.synCimak (Compiler.CompactSourceSyntax.synCsymdif (Compiler.CompactSourceSyntax.synCins2k (Compiler.CompactSourceSyntax.synCins2k Compiler.CompactSourceSyntax.synCssetk)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCins2k (Compiler.CompactSourceSyntax.synCins3k Compiler.CompactSourceSyntax.synCssetk)) (Compiler.CompactSourceSyntax.synCins3k (Compiler.CompactSourceSyntax.synCsik (Compiler.CompactSourceSyntax.synCsik Compiler.CompactSourceSyntax.synCssetk))))) (Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 Compiler.CompactSourceSyntax.synC1c)))))) (Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 Compiler.CompactSourceSyntax.synC1c)))) (Compiler.CompactSourceSyntax.synCxpk Compiler.CompactSourceSyntax.synCnnc Compiler.CompactSourceSyntax.synCvv)) (Compiler.CompactSourceSyntax.synCin Compiler.CompactSourceSyntax.synCidk (Compiler.CompactSourceSyntax.synCxpk (Compiler.CompactSourceSyntax.synCcompl Compiler.CompactSourceSyntax.synCnnc) Compiler.CompactSourceSyntax.synCvv))))) Compiler.CompactSourceSyntax.synCssetk) (Compiler.CompactSourceSyntax.synCxpk (Compiler.CompactSourceSyntax.synCsn (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)) Compiler.CompactSourceSyntax.synCvv)))) (Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 Compiler.CompactSourceSyntax.synC1c))))))) (Compiler.CompactSourceSyntax.synCpw1 (Compiler.CompactSourceSyntax.synCpw1 Compiler.CompactSourceSyntax.synC1c)))) (Compiler.CompactSourceSyntax.synWrex x B (SemanticCore.Wff.classEq A (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv x)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))

Checked nominal proof certificate identified upstream as g_setconslem2.

Equations

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