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.
Equations
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