Nominal proof certificates grouped in dependency order.
Certificates from NAR4C090C001Part119.
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0096
(v u : SemanticCore.Var)
(A : SemanticCore.Class)
(h : SemanticCore.Var)
(dv_h_u : h ≠ u)
(dv_h_v : h ≠ v)
(dv_u_v : u ≠ v)
:
Nominal.TAlphaWff
[(nb090AlphaDummy042 A, nb090AlphaDummy044 v u h), (nb090AlphaDummy041 A, nb090AlphaDummy043 v u h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)]
((Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy041 A))
(Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st
(SemanticCore.Class.cv (nb090AlphaDummy001 A)))
(SemanticCore.Class.cv (nb090AlphaDummy042 A))).imp
(Compiler.CompactSourceSyntax.synWbr
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb090AlphaDummy000 A))
(SemanticCore.Class.cv (nb090AlphaDummy041 A)))
(Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st
(SemanticCore.Class.cv (nb090AlphaDummy002 A)))
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb090AlphaDummy000 A))
(SemanticCore.Class.cv (nb090AlphaDummy042 A)))))
((Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy043 v u h))
(Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv u))
(SemanticCore.Class.cv (nb090AlphaDummy044 v u h))).imp
(Compiler.CompactSourceSyntax.synWbr
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv h) (SemanticCore.Class.cv (nb090AlphaDummy043 v u h)))
(Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv v))
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv h)
(SemanticCore.Class.cv (nb090AlphaDummy044 v u h)))))
Checked nominal proof certificate identified upstream as nb090_split_alpha_0096.
Equations
- One or more equations did not get rendered due to their size.
Instances For
Certificates from NAR4C090C001Part120.
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb090SplitAlpha0097
(v u : SemanticCore.Var)
(A : SemanticCore.Class)
(h : SemanticCore.Var)
(dv_h_u : h ≠ u)
(dv_h_v : h ≠ v)
(dv_u_v : u ≠ v)
:
Nominal.TAlphaWff
[(nb090AlphaDummy042 A, nb090AlphaDummy044 v u h), (nb090AlphaDummy041 A, nb090AlphaDummy043 v u h), (nb090AlphaDummy000 A, h), (nb090AlphaDummy002 A, v), (nb090AlphaDummy001 A, u), (nb090AlphaDummy003 A, nb090AlphaDummy004 v u A h)]
((Compiler.CompactSourceSyntax.synWbr
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb090AlphaDummy000 A))
(SemanticCore.Class.cv (nb090AlphaDummy041 A)))
(Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st
(SemanticCore.Class.cv (nb090AlphaDummy002 A)))
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv (nb090AlphaDummy000 A))
(SemanticCore.Class.cv (nb090AlphaDummy042 A)))).imp
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy041 A))
(Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st
(SemanticCore.Class.cv (nb090AlphaDummy001 A)))
(SemanticCore.Class.cv (nb090AlphaDummy042 A))))
((Compiler.CompactSourceSyntax.synWbr
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv h)
(SemanticCore.Class.cv (nb090AlphaDummy043 v u h)))
(Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv v))
(Compiler.CompactSourceSyntax.synCfv (SemanticCore.Class.cv h)
(SemanticCore.Class.cv (nb090AlphaDummy044 v u h)))).imp
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb090AlphaDummy043 v u h))
(Compiler.CompactSourceSyntax.synCfv Compiler.CompactSourceSyntax.synC1st (SemanticCore.Class.cv u))
(SemanticCore.Class.cv (nb090AlphaDummy044 v u h))))
Checked nominal proof certificate identified upstream as nb090_split_alpha_0097.
Equations
- One or more equations did not get rendered due to their size.