NF weak partition development: NAR4H5C095M3Part036.
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095SplitAlpha0081
(x u : SemanticCore.Var)
(D R S_cls : SemanticCore.Class)
(f : SemanticCore.Var)
(E : SemanticCore.Class)
:
Nominal.TAlphaWff
[(nb095AlphaDummy261 D R S_cls E, nb095AlphaDummy262 x R), (nb095AlphaDummy259 D R S_cls E, nb095AlphaDummy260 x R), (nb095AlphaDummy250 D R S_cls E, nb095AlphaDummy252 x R), (nb095AlphaDummy249 D R S_cls E, nb095AlphaDummy251 x R), (nb095AlphaDummy247 D R S_cls E, nb095AlphaDummy248 x D R), (nb095AlphaDummy245 D R S_cls E, nb095AlphaDummy246 x D R), (nb095AlphaDummy004 D R S_cls E, nb095AlphaDummy006 x u D R S_cls f E), (nb095AlphaDummy003 D R S_cls E, nb095AlphaDummy005 x u D R S_cls f E), (nb095AlphaDummy001 D R S_cls E, u), (nb095AlphaDummy002 D R S_cls E, x), (nb095AlphaDummy000 D R S_cls E, f)]
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy261 D R S_cls E))
(SemanticCore.Class.cab (nb095AlphaDummy255 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy256 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy250 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy255 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy256 D R S_cls E))))))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy261 D R S_cls E))
(SemanticCore.Class.cab (nb095AlphaDummy255 D R S_cls E)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy256 D R S_cls E)
(SemanticCore.Class.cv (nb095AlphaDummy250 D R S_cls E))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy255 D R S_cls E))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy256 D R S_cls E))))))).neg)
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy262 x R))
(SemanticCore.Class.cab (nb095AlphaDummy257 x R)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy258 x R)
(SemanticCore.Class.cv (nb095AlphaDummy252 x R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy257 x R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy258 x R))))))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy262 x R))
(SemanticCore.Class.cab (nb095AlphaDummy257 x R)
(Compiler.CompactSourceSyntax.synWrex (nb095AlphaDummy258 x R)
(SemanticCore.Class.cv (nb095AlphaDummy252 x R))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb095AlphaDummy257 x R))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb095AlphaDummy258 x R))))))).neg)
Checked nominal proof certificate identified upstream as nb095_split_alpha_0081.
Equations
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