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LeanPool.NFWeakPartition.NominalWPPReplayChunk016Compact001Part034

NF weak partition development: NominalWPPReplayChunk016Compact001Part034.

noncomputable def NFChoice.DirectNominalPrf.WPPReplay.gWecutisobranchccknfdv (x y z v u : SemanticCore.Var) (D R S : SemanticCore.Class) (h : SemanticCore.Var) (E : SemanticCore.Class) (_dv_D_h : h ∉ D.fv) (_dv_D_u : u ∉ D.fv) (_dv_D_v : v ∉ D.fv) (_dv_D_x : x ∉ D.fv) (_dv_D_y : y ∉ D.fv) (_dv_D_z : z ∉ D.fv) (_dv_E_h : h ∉ E.fv) (_dv_E_u : u ∉ E.fv) (_dv_E_v : v ∉ E.fv) (_dv_E_x : x ∉ E.fv) (_dv_E_y : y ∉ E.fv) (_dv_E_z : z ∉ E.fv) (_dv_R_h : h ∉ R.fv) (_dv_R_u : u ∉ R.fv) (_dv_R_v : v ∉ R.fv) (_dv_R_x : x ∉ R.fv) (_dv_R_y : y ∉ R.fv) (_dv_R_z : z ∉ R.fv) (_dv_S_h : h ∉ S.fv) (_dv_S_u : u ∉ S.fv) (_dv_S_v : v ∉ S.fv) (_dv_S_x : x ∉ S.fv) (_dv_S_y : y ∉ S.fv) (_dv_S_z : z ∉ S.fv) (_dv_h_u : h ≠ u) (_dv_h_v : h ≠ v) (_dv_h_x : h ≠ x) (_dv_h_y : h ≠ y) (_dv_h_z : h ≠ z) (_dv_u_v : u ≠ v) (_dv_u_x : u ≠ x) (_dv_u_y : u ≠ y) (_dv_u_z : u ≠ z) (_dv_v_x : v ≠ x) (_dv_v_y : v ≠ y) (_dv_v_z : v ≠ z) (_dv_x_y : x ≠ y) (_dv_x_z : x ≠ z) (_dv_y_z : y ≠ z) (_hyp_wecutisobranchknterminalfdv_1 : Nominal.NPrf (Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCwe D)) (_hyp_wecutisobranchknterminalfdv_2 : Nominal.NPrf (Compiler.CompactSourceSyntax.synWbr S Compiler.CompactSourceSyntax.synCwe E)) (hyp_wecutisobranchknterminalfdv_3 : Nominal.NPrf (SemanticCore.Wff.classMem (Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCwecutiso R D S E)) Compiler.CompactSourceSyntax.synCvv)) :
Nominal.NPrf ((SemanticCore.Wff.classMem (SemanticCore.Class.cv y) (Compiler.CompactSourceSyntax.synCdm (Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCwecutiso R D S E)))).neg.imp ((Compiler.CompactSourceSyntax.synWiso (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCuni (Compiler.CompactSourceSyntax.synCwecutiso R D S E)) (Compiler.CompactSourceSyntax.synCsn (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv y) (SemanticCore.Class.cv u)))) R S (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv y)))) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv y))) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))).imp ((Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv z) D) (SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv y)))) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv y))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv z)))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv v) E)) (SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv v)))))).imp (Compiler.CompactSourceSyntax.synW3o (Compiler.CompactSourceSyntax.synWex h (Compiler.CompactSourceSyntax.synWiso (SemanticCore.Class.cv h) R S D E)) (Compiler.CompactSourceSyntax.synWrex x E (Compiler.CompactSourceSyntax.synWex h (Compiler.CompactSourceSyntax.synWiso (SemanticCore.Class.cv h) R (Compiler.CompactSourceSyntax.synCin S (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))) D (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x))))))) (Compiler.CompactSourceSyntax.synWrex x D (Compiler.CompactSourceSyntax.synWex h (Compiler.CompactSourceSyntax.synWiso (SemanticCore.Class.cv h) S (Compiler.CompactSourceSyntax.synCin R (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))) E (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))))))))

Checked nominal proof certificate identified upstream as g_wecutisobranchccknfdv.

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