Nominal proof certificates grouped in dependency order.
Certificates from NominalWPPReplayChunk015Compact001Part007.
noncomputable def
NFChoice.DirectNominalPrf.WPPReplay.gBrlnqordkern
(C R X Y : SemanticCore.Class)
(_dv_C_R : Disjoint C.fv R.fv)
:
Nominal.NPrf
((Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem R Compiler.CompactSourceSyntax.synCvv)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCref C)
(Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCtrans C))
(Compiler.CompactSourceSyntax.synWss R (Compiler.CompactSourceSyntax.synCxp C C)))
(Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem X C) (SemanticCore.Wff.classMem Y C)))).imp
(Compiler.CompactSourceSyntax.synWb
(Compiler.CompactSourceSyntax.synWbr
(Compiler.CompactSourceSyntax.synCec X (Compiler.CompactSourceSyntax.synClnker R))
(Compiler.CompactSourceSyntax.synClnqord R C)
(Compiler.CompactSourceSyntax.synCec Y (Compiler.CompactSourceSyntax.synClnker R)))
(Compiler.CompactSourceSyntax.synWbr X R Y)))
Checked nominal proof certificate identified upstream as g_brlnqordkern.
Equations
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Instances For
noncomputable def
NFChoice.DirectNominalPrf.WPPReplay.gLnqordref
(C R : SemanticCore.Class)
(dv_C_R : Disjoint C.fv R.fv)
:
Nominal.NPrf
((Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem R Compiler.CompactSourceSyntax.synCvv)
(SemanticCore.Wff.classMem C Compiler.CompactSourceSyntax.synCvv))
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCref C)
(Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCtrans C))
(Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCconnex C))
(Compiler.CompactSourceSyntax.synWss R (Compiler.CompactSourceSyntax.synCxp C C)))).imp
(Compiler.CompactSourceSyntax.synWbr (Compiler.CompactSourceSyntax.synClnqord R C)
Compiler.CompactSourceSyntax.synCref (Compiler.CompactSourceSyntax.synClnquo R C)))
Checked nominal proof certificate identified upstream as g_lnqordref.
Equations
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Instances For
Certificates from NominalWPPReplayChunk015Compact001Part008.
noncomputable def
NFChoice.DirectNominalPrf.WPPReplay.gLnqordtrans
(C R : SemanticCore.Class)
(dv_C_R : Disjoint C.fv R.fv)
:
Nominal.NPrf
((Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem R Compiler.CompactSourceSyntax.synCvv)
(SemanticCore.Wff.classMem C Compiler.CompactSourceSyntax.synCvv))
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCref C)
(Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCtrans C))
(Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCconnex C))
(Compiler.CompactSourceSyntax.synWss R (Compiler.CompactSourceSyntax.synCxp C C)))).imp
(Compiler.CompactSourceSyntax.synWbr (Compiler.CompactSourceSyntax.synClnqord R C)
Compiler.CompactSourceSyntax.synCtrans (Compiler.CompactSourceSyntax.synClnquo R C)))
Checked nominal proof certificate identified upstream as g_lnqordtrans.
Equations
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Instances For
Certificates from NominalWPPReplayChunk015Compact001Part009.
noncomputable def
NFChoice.DirectNominalPrf.WPPReplay.gLnqordconnex
(C R : SemanticCore.Class)
(dv_C_R : Disjoint C.fv R.fv)
:
Nominal.NPrf
((Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem R Compiler.CompactSourceSyntax.synCvv)
(SemanticCore.Wff.classMem C Compiler.CompactSourceSyntax.synCvv))
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCref C)
(Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCtrans C))
(Compiler.CompactSourceSyntax.synWbr R Compiler.CompactSourceSyntax.synCconnex C))
(Compiler.CompactSourceSyntax.synWss R (Compiler.CompactSourceSyntax.synCxp C C)))).imp
(Compiler.CompactSourceSyntax.synWbr (Compiler.CompactSourceSyntax.synClnqord R C)
Compiler.CompactSourceSyntax.synCconnex (Compiler.CompactSourceSyntax.synClnquo R C)))
Checked nominal proof certificate identified upstream as g_lnqordconnex.
Equations
- One or more equations did not get rendered due to their size.