NF weak partition development: NAR4C056C001Part013.
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0023
(f : SemanticCore.Var)
:
Nominal.TAlphaWff
[(nb056AlphaDummy179, nb056AlphaDummy182 f), (nb056AlphaDummy178, nb056AlphaDummy181 f), (nb056AlphaDummy177, nb056AlphaDummy180 f), (nb056AlphaDummy175, nb056AlphaDummy176 f), (nb056AlphaDummy171, nb056AlphaDummy173 f), (nb056AlphaDummy172, nb056AlphaDummy174 f), (nb056AlphaDummy197, nb056AlphaDummy198 f), (nb056AlphaDummy195, nb056AlphaDummy196 f), (nb056AlphaDummy164, nb056AlphaDummy166 f), (nb056AlphaDummy163, nb056AlphaDummy165 f), (nb056AlphaDummy193, nb056AlphaDummy194 f), (nb056AlphaDummy167, nb056AlphaDummy168 f), (nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy003, nb056AlphaDummy004 f), (nb056AlphaDummy001, nb056AlphaDummy002 f), (nb056AlphaDummy000, f)]
((SemanticCore.Wff.classEq
(Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb056AlphaDummy178)
(SemanticCore.Class.cv nb056AlphaDummy179))
Compiler.CompactSourceSyntax.synC0).imp
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy177)
(Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb056AlphaDummy178)
(SemanticCore.Class.cv nb056AlphaDummy179))).neg)
((SemanticCore.Wff.classEq
(Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb056AlphaDummy181 f))
(SemanticCore.Class.cv (nb056AlphaDummy182 f)))
Compiler.CompactSourceSyntax.synC0).imp
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy180 f))
(Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb056AlphaDummy181 f))
(SemanticCore.Class.cv (nb056AlphaDummy182 f)))).neg)
Checked nominal proof certificate identified upstream as nb056_split_alpha_0023.
Equations
- One or more equations did not get rendered due to their size.
Instances For
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0024
(f : SemanticCore.Var)
:
Nominal.TAlphaWff
[(nb056AlphaDummy171, nb056AlphaDummy173 f), (nb056AlphaDummy172, nb056AlphaDummy174 f), (nb056AlphaDummy197, nb056AlphaDummy198 f), (nb056AlphaDummy195, nb056AlphaDummy196 f), (nb056AlphaDummy164, nb056AlphaDummy166 f), (nb056AlphaDummy163, nb056AlphaDummy165 f), (nb056AlphaDummy193, nb056AlphaDummy194 f), (nb056AlphaDummy167, nb056AlphaDummy168 f), (nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy003, nb056AlphaDummy004 f), (nb056AlphaDummy001, nb056AlphaDummy002 f), (nb056AlphaDummy000, f)]
((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy171) (SemanticCore.Class.cv nb056AlphaDummy164)).imp
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy172)
(Compiler.CompactSourceSyntax.synCif
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy171) Compiler.CompactSourceSyntax.synCnnc)
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb056AlphaDummy171)
Compiler.CompactSourceSyntax.synC1c)
(SemanticCore.Class.cv nb056AlphaDummy171))).neg)
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy173 f))
(SemanticCore.Class.cv (nb056AlphaDummy166 f))).imp
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy174 f))
(Compiler.CompactSourceSyntax.synCif
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy173 f))
Compiler.CompactSourceSyntax.synCnnc)
(Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb056AlphaDummy173 f))
Compiler.CompactSourceSyntax.synC1c)
(SemanticCore.Class.cv (nb056AlphaDummy173 f)))).neg)
Checked nominal proof certificate identified upstream as nb056_split_alpha_0024.
Equations
- One or more equations did not get rendered due to their size.
Instances For
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0025
(f : SemanticCore.Var)
:
Nominal.TAlphaWff
[(nb056AlphaDummy193, nb056AlphaDummy194 f), (nb056AlphaDummy167, nb056AlphaDummy168 f), (nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy003, nb056AlphaDummy004 f), (nb056AlphaDummy001, nb056AlphaDummy002 f), (nb056AlphaDummy000, f)]
((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy193)
(SemanticCore.Class.cab nb056AlphaDummy163
(Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy164 (SemanticCore.Class.cv nb056AlphaDummy006)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy163)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy164))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy193)
(SemanticCore.Class.cab nb056AlphaDummy163
(Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy164 (SemanticCore.Class.cv nb056AlphaDummy006)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy163)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy164))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).neg)
((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy194 f))
(SemanticCore.Class.cab (nb056AlphaDummy165 f)
(Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy166 f) (SemanticCore.Class.cv (nb056AlphaDummy009 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy165 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy166 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).imp
(SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb056AlphaDummy194 f))
(SemanticCore.Class.cab (nb056AlphaDummy165 f)
(Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy166 f) (SemanticCore.Class.cv (nb056AlphaDummy009 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy165 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy166 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).neg)
Checked nominal proof certificate identified upstream as nb056_split_alpha_0025.
Equations
- One or more equations did not get rendered due to their size.
Instances For
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056ComposeVariableOccurrence
(f : SemanticCore.Var)
:
Nominal.TAlphaClass
[(nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy003, nb056AlphaDummy004 f), (nb056AlphaDummy001, nb056AlphaDummy002 f), (nb056AlphaDummy000, f)]
(SemanticCore.Class.cv nb056AlphaDummy000) (SemanticCore.Class.cv f)
Checked nominal proof certificate identified upstream as
nb056_compose_variable_occurrence.
Equations
- One or more equations did not get rendered due to their size.
Instances For
noncomputable def
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056SplitAlpha0026
(f : SemanticCore.Var)
:
Nominal.TAlphaWff
[(nb056AlphaDummy007, nb056AlphaDummy010 f), (nb056AlphaDummy006, nb056AlphaDummy009 f), (nb056AlphaDummy005, nb056AlphaDummy008 f), (nb056AlphaDummy011, nb056AlphaDummy012 f), (nb056AlphaDummy003, nb056AlphaDummy004 f), (nb056AlphaDummy001, nb056AlphaDummy002 f), (nb056AlphaDummy000, f)]
((Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb056AlphaDummy005)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb056AlphaDummy000))
(SemanticCore.Class.cv nb056AlphaDummy007)).imp
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb056AlphaDummy007)
(SemanticCore.Class.cv nb056AlphaDummy000) (SemanticCore.Class.cv nb056AlphaDummy006)).neg)
((Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb056AlphaDummy008 f))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))
(SemanticCore.Class.cv (nb056AlphaDummy010 f))).imp
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb056AlphaDummy010 f)) (SemanticCore.Class.cv f)
(SemanticCore.Class.cv (nb056AlphaDummy009 f))).neg)
Checked nominal proof certificate identified upstream as nb056_split_alpha_0026.
Equations
- One or more equations did not get rendered due to their size.