Nominal proof certificates grouped in dependency order.
Certificates from NominalWPPReplayChunk010Compact001Part023.
noncomputable def
NFChoice.DirectNominalPrf.WPPReplay.gVfinspsslem1
(x z n : SemanticCore.Var)
(_dv_n_x : n ≠ x)
(_dv_n_z : n ≠ z)
(dv_x_z : x ≠ z)
:
Nominal.NPrf
((Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem Compiler.CompactSourceSyntax.synCvv Compiler.CompactSourceSyntax.synCfin)
(SemanticCore.Wff.classMem (Compiler.CompactSourceSyntax.synCtfin (SemanticCore.Class.cv n))
Compiler.CompactSourceSyntax.synCspfin))
(Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem (SemanticCore.Class.cv n) Compiler.CompactSourceSyntax.synCspfin)
(Compiler.CompactSourceSyntax.synWsfin (SemanticCore.Class.cv z)
(Compiler.CompactSourceSyntax.synCtfin (SemanticCore.Class.cv n))))).imp
(Compiler.CompactSourceSyntax.synWrex x Compiler.CompactSourceSyntax.synCspfin
(SemanticCore.Wff.classEq (SemanticCore.Class.cv z)
(Compiler.CompactSourceSyntax.synCtfin (SemanticCore.Class.cv x)))))
Checked nominal proof certificate identified upstream as g_vfinspsslem1.
Equations
- One or more equations did not get rendered due to their size.
Instances For
Certificates from NominalWPPReplayChunk010Compact001Part024.
noncomputable def
NFChoice.DirectNominalPrf.WPPReplay.gVfinspss
(x a : SemanticCore.Var)
(dv_a_x : a ≠ x)
:
Nominal.NPrf
((SemanticCore.Wff.classMem Compiler.CompactSourceSyntax.synCvv Compiler.CompactSourceSyntax.synCfin).imp
(Compiler.CompactSourceSyntax.synWss Compiler.CompactSourceSyntax.synCspfin
(Compiler.CompactSourceSyntax.synCun
(SemanticCore.Class.cab a
(Compiler.CompactSourceSyntax.synWrex x Compiler.CompactSourceSyntax.synCspfin
(SemanticCore.Wff.classEq (SemanticCore.Class.cv a)
(Compiler.CompactSourceSyntax.synCtfin (SemanticCore.Class.cv x)))))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCncfin Compiler.CompactSourceSyntax.synCvv)))))
Checked nominal proof certificate identified upstream as g_vfinspss.
Equations
- One or more equations did not get rendered due to their size.
Instances For
Certificates from NominalWPPReplayChunk010Compact001Part025.
noncomputable def
NFChoice.DirectNominalPrf.WPPReplay.gVfinspclt
(X : SemanticCore.Class)
:
Nominal.NPrf
((Compiler.CompactSourceSyntax.synWa
(SemanticCore.Wff.classMem Compiler.CompactSourceSyntax.synCvv Compiler.CompactSourceSyntax.synCfin)
(SemanticCore.Wff.classMem X Compiler.CompactSourceSyntax.synCspfin)).imp
(SemanticCore.Wff.classMem (Compiler.CompactSourceSyntax.synCtfin X) Compiler.CompactSourceSyntax.synCspfin))
Checked nominal proof certificate identified upstream as g_vfinspclt.
Equations
- One or more equations did not get rendered due to their size.
Instances For
noncomputable def
NFChoice.DirectNominalPrf.WPPReplay.gVfinspeqtncv
(x a : SemanticCore.Var)
(dv_a_x : a ≠ x)
:
Nominal.NPrf
((SemanticCore.Wff.classMem Compiler.CompactSourceSyntax.synCvv Compiler.CompactSourceSyntax.synCfin).imp
(SemanticCore.Wff.classEq Compiler.CompactSourceSyntax.synCspfin
(Compiler.CompactSourceSyntax.synCun
(SemanticCore.Class.cab a
(Compiler.CompactSourceSyntax.synWrex x Compiler.CompactSourceSyntax.synCspfin
(SemanticCore.Wff.classEq (SemanticCore.Class.cv a)
(Compiler.CompactSourceSyntax.synCtfin (SemanticCore.Class.cv x)))))
(Compiler.CompactSourceSyntax.synCsn
(Compiler.CompactSourceSyntax.synCncfin Compiler.CompactSourceSyntax.synCvv)))))
Checked nominal proof certificate identified upstream as g_vfinspeqtncv.
Equations
- One or more equations did not get rendered due to their size.