Nominal proof certificates grouped in dependency order.

Certificates from NAR4C077C001Part028.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077SplitAlpha0015 (x : SemanticCore.Var) (F I : SemanticCore.Class) : Nominal.TAlphaWff [(nb077AlphaDummy317 F I, nb077AlphaDummy318 x), (nb077AlphaDummy315 F I, nb077AlphaDummy316 x), (nb077AlphaDummy061 F I, nb077AlphaDummy064 x), (nb077AlphaDummy060 F I, nb077AlphaDummy063 x), (nb077AlphaDummy059 F I, nb077AlphaDummy062 x), (nb077AlphaDummy065 F I, nb077AlphaDummy066 x), (nb077AlphaDummy057 F I, nb077AlphaDummy058 x F), (nb077AlphaDummy055 F I, nb077AlphaDummy056 x F), (nb077AlphaDummy016 F I, nb077AlphaDummy018 x F I), (nb077AlphaDummy015 F I, nb077AlphaDummy017 x F I), (nb077AlphaDummy013 F I, nb077AlphaDummy014 x F I), (nb077AlphaDummy011 F I, nb077AlphaDummy012 x F I), (nb077AlphaDummy001 F I, nb077AlphaDummy002 x F I), (nb077AlphaDummy004 F I, nb077AlphaDummy006 x F I), (nb077AlphaDummy003 F I, nb077AlphaDummy005 x F I)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy317 F I)) (SemanticCore.Class.cab (nb077AlphaDummy311 F I) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy312 F I) (SemanticCore.Class.cv (nb077AlphaDummy061 F I)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy311 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy312 F I))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy317 F I)) (SemanticCore.Class.cab (nb077AlphaDummy311 F I) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy312 F I) (SemanticCore.Class.cv (nb077AlphaDummy061 F I)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy311 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy312 F I))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy318 x)) (SemanticCore.Class.cab (nb077AlphaDummy313 x) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy314 x) (SemanticCore.Class.cv (nb077AlphaDummy064 x)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy313 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy314 x))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy318 x)) (SemanticCore.Class.cab (nb077AlphaDummy313 x) (Compiler.CompactSourceSyntax.synWrex (nb077AlphaDummy314 x) (SemanticCore.Class.cv (nb077AlphaDummy064 x)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb077AlphaDummy313 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy314 x))))))).neg)

Checked nominal proof certificate identified upstream as nb077_split_alpha_0015.

Equations

• One or more equations did not get rendered due to their size.

Certificates from NAR4C077C001Part029.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077SplitAlpha0016 (x : SemanticCore.Var) (F I : SemanticCore.Class) : Nominal.TAlphaWff [(nb077AlphaDummy345 F I, nb077AlphaDummy346 x), (nb077AlphaDummy343 F I, nb077AlphaDummy344 x), (nb077AlphaDummy312 F I, nb077AlphaDummy314 x), (nb077AlphaDummy311 F I, nb077AlphaDummy313 x), (nb077AlphaDummy341 F I, nb077AlphaDummy342 x), (nb077AlphaDummy315 F I, nb077AlphaDummy316 x), (nb077AlphaDummy061 F I, nb077AlphaDummy064 x), (nb077AlphaDummy060 F I, nb077AlphaDummy063 x), (nb077AlphaDummy059 F I, nb077AlphaDummy062 x), (nb077AlphaDummy065 F I, nb077AlphaDummy066 x), (nb077AlphaDummy057 F I, nb077AlphaDummy058 x F), (nb077AlphaDummy055 F I, nb077AlphaDummy056 x F), (nb077AlphaDummy016 F I, nb077AlphaDummy018 x F I), (nb077AlphaDummy015 F I, nb077AlphaDummy017 x F I), (nb077AlphaDummy013 F I, nb077AlphaDummy014 x F I), (nb077AlphaDummy011 F I, nb077AlphaDummy012 x F I), (nb077AlphaDummy001 F I, nb077AlphaDummy002 x F I), (nb077AlphaDummy004 F I, nb077AlphaDummy006 x F I), (nb077AlphaDummy003 F I, nb077AlphaDummy005 x F I)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy345 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy312 F I)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy345 F I)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy312 F I)))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy346 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy314 x)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb077AlphaDummy346 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb077AlphaDummy314 x)))).neg)

Checked nominal proof certificate identified upstream as nb077_split_alpha_0016.

Equations

• One or more equations did not get rendered due to their size.

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0912 (F I : SemanticCore.Class) : nb077AlphaDummy061 F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0913 (x : SemanticCore.Var) : nb077AlphaDummy064 x ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0914 (F I : SemanticCore.Class) : nb077AlphaDummy060 F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0915 (x : SemanticCore.Var) : nb077AlphaDummy063 x ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0916 (F I : SemanticCore.Class) : nb077AlphaDummy059 F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0917 (x : SemanticCore.Var) : nb077AlphaDummy062 x ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0918 (F I : SemanticCore.Class) : nb077AlphaDummy065 F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0919 (x : SemanticCore.Var) : nb077AlphaDummy066 x ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0920 (F I : SemanticCore.Class) : nb077AlphaDummy057 F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

Certificates from NAR4C077C001Part030.

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0921 (x : SemanticCore.Var) (F : SemanticCore.Class) : nb077AlphaDummy058 x F ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0922 (F I : SemanticCore.Class) : nb077AlphaDummy055 F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0923 (x : SemanticCore.Var) (F : SemanticCore.Class) : nb077AlphaDummy056 x F ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0924 (F I : SemanticCore.Class) : nb077AlphaDummy016 F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0925 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy018 x F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0926 (F I : SemanticCore.Class) : nb077AlphaDummy015 F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0927 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy017 x F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0928 (F I : SemanticCore.Class) : nb077AlphaDummy013 F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0929 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy014 x F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0930 (F I : SemanticCore.Class) : nb077AlphaDummy011 F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0931 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy012 x F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0932 (F I : SemanticCore.Class) : nb077AlphaDummy001 F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0933 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy002 x F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0934 (F I : SemanticCore.Class) : nb077AlphaDummy004 F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0935 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy006 x F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0936 (F I : SemanticCore.Class) : nb077AlphaDummy003 F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0937 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy005 x F I ∉ (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_compact_envfresh_0062 (x : SemanticCore.Var) (F I : SemanticCore.Class) : Nominal.TEnvFresh [(nb077AlphaDummy061 F I, nb077AlphaDummy064 x), (nb077AlphaDummy060 F I, nb077AlphaDummy063 x), (nb077AlphaDummy059 F I, nb077AlphaDummy062 x), (nb077AlphaDummy065 F I, nb077AlphaDummy066 x), (nb077AlphaDummy057 F I, nb077AlphaDummy058 x F), (nb077AlphaDummy055 F I, nb077AlphaDummy056 x F), (nb077AlphaDummy016 F I, nb077AlphaDummy018 x F I), (nb077AlphaDummy015 F I, nb077AlphaDummy017 x F I), (nb077AlphaDummy013 F I, nb077AlphaDummy014 x F I), (nb077AlphaDummy011 F I, nb077AlphaDummy012 x F I), (nb077AlphaDummy001 F I, nb077AlphaDummy002 x F I), (nb077AlphaDummy004 F I, nb077AlphaDummy006 x F I), (nb077AlphaDummy003 F I, nb077AlphaDummy005 x F I)] (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077WppRefl0062 (x : SemanticCore.Var) (F I : SemanticCore.Class) : Nominal.TReflOn [(nb077AlphaDummy061 F I, nb077AlphaDummy064 x), (nb077AlphaDummy060 F I, nb077AlphaDummy063 x), (nb077AlphaDummy059 F I, nb077AlphaDummy062 x), (nb077AlphaDummy065 F I, nb077AlphaDummy066 x), (nb077AlphaDummy057 F I, nb077AlphaDummy058 x F), (nb077AlphaDummy055 F I, nb077AlphaDummy056 x F), (nb077AlphaDummy016 F I, nb077AlphaDummy018 x F I), (nb077AlphaDummy015 F I, nb077AlphaDummy017 x F I), (nb077AlphaDummy013 F I, nb077AlphaDummy014 x F I), (nb077AlphaDummy011 F I, nb077AlphaDummy012 x F I), (nb077AlphaDummy001 F I, nb077AlphaDummy002 x F I), (nb077AlphaDummy004 F I, nb077AlphaDummy006 x F I), (nb077AlphaDummy003 F I, nb077AlphaDummy005 x F I)] (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC1st).fv

Checked nominal proof certificate identified upstream as nb077_wpp_refl_0062.

Equations

• NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077WppRefl0062 x F I = ⋯.reflOn

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_focused_notmem_0010 (F I : SemanticCore.Class) : nb077AlphaDummy057 F I ∉ F.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0938 (F I : SemanticCore.Class) : nb077AlphaDummy057 F I ∉ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_focused_notmem_0011 (x : SemanticCore.Var) (F : SemanticCore.Class) : nb077AlphaDummy058 x F ∉ F.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0939 (x : SemanticCore.Var) (F : SemanticCore.Class) : nb077AlphaDummy058 x F ∉ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_focused_notmem_0012 (F I : SemanticCore.Class) : nb077AlphaDummy055 F I ∉ F.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0940 (F I : SemanticCore.Class) : nb077AlphaDummy055 F I ∉ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_focused_notmem_0013 (x : SemanticCore.Var) (F : SemanticCore.Class) : nb077AlphaDummy056 x F ∉ F.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0941 (x : SemanticCore.Var) (F : SemanticCore.Class) : nb077AlphaDummy056 x F ∉ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_focused_notmem_0014 (F I : SemanticCore.Class) : nb077AlphaDummy016 F I ∉ F.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0942 (F I : SemanticCore.Class) : nb077AlphaDummy016 F I ∉ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_focused_notmem_0015 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy018 x F I ∉ F.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0943 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy018 x F I ∉ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_focused_notmem_0016 (F I : SemanticCore.Class) : nb077AlphaDummy015 F I ∉ F.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0944 (F I : SemanticCore.Class) : nb077AlphaDummy015 F I ∉ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_focused_notmem_0017 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy017 x F I ∉ F.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0945 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy017 x F I ∉ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_focused_notmem_0018 (F I : SemanticCore.Class) : nb077AlphaDummy013 F I ∉ F.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0946 (F I : SemanticCore.Class) : nb077AlphaDummy013 F I ∉ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_focused_notmem_0019 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy014 x F I ∉ F.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0947 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy014 x F I ∉ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_focused_notmem_0020 (F I : SemanticCore.Class) : nb077AlphaDummy011 F I ∉ F.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0948 (F I : SemanticCore.Class) : nb077AlphaDummy011 F I ∉ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_focused_notmem_0021 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy012 x F I ∉ F.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0949 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy012 x F I ∉ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_focused_notmem_0022 (F I : SemanticCore.Class) : nb077AlphaDummy001 F I ∉ F.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0950 (F I : SemanticCore.Class) : nb077AlphaDummy001 F I ∉ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_focused_notmem_0023 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy002 x F I ∉ F.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0951 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy002 x F I ∉ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_focused_notmem_0024 (F I : SemanticCore.Class) : nb077AlphaDummy004 F I ∉ F.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0952 (F I : SemanticCore.Class) : nb077AlphaDummy004 F I ∉ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_focused_notmem_0025 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy006 x F I ∉ F.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0953 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy006 x F I ∉ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_focused_notmem_0026 (F I : SemanticCore.Class) : nb077AlphaDummy003 F I ∉ F.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0954 (F I : SemanticCore.Class) : nb077AlphaDummy003 F I ∉ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_focused_notmem_0027 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy005 x F I ∉ F.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_wpp_notmem_0955 (x : SemanticCore.Var) (F I : SemanticCore.Class) : nb077AlphaDummy005 x F I ∉ (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077_compact_envfresh_0063 (x : SemanticCore.Var) (F I : SemanticCore.Class) : Nominal.TEnvFresh [(nb077AlphaDummy057 F I, nb077AlphaDummy058 x F), (nb077AlphaDummy055 F I, nb077AlphaDummy056 x F), (nb077AlphaDummy016 F I, nb077AlphaDummy018 x F I), (nb077AlphaDummy015 F I, nb077AlphaDummy017 x F I), (nb077AlphaDummy013 F I, nb077AlphaDummy014 x F I), (nb077AlphaDummy011 F I, nb077AlphaDummy012 x F I), (nb077AlphaDummy001 F I, nb077AlphaDummy002 x F I), (nb077AlphaDummy004 F I, nb077AlphaDummy006 x F I), (nb077AlphaDummy003 F I, nb077AlphaDummy005 x F I)] (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077WppRefl0063 (x : SemanticCore.Var) (F I : SemanticCore.Class) : Nominal.TReflOn [(nb077AlphaDummy057 F I, nb077AlphaDummy058 x F), (nb077AlphaDummy055 F I, nb077AlphaDummy056 x F), (nb077AlphaDummy016 F I, nb077AlphaDummy018 x F I), (nb077AlphaDummy015 F I, nb077AlphaDummy017 x F I), (nb077AlphaDummy013 F I, nb077AlphaDummy014 x F I), (nb077AlphaDummy011 F I, nb077AlphaDummy012 x F I), (nb077AlphaDummy001 F I, nb077AlphaDummy002 x F I), (nb077AlphaDummy004 F I, nb077AlphaDummy006 x F I), (nb077AlphaDummy003 F I, nb077AlphaDummy005 x F I)] (Compiler.CompactSourceSyntax.synCcom (Compiler.CompactSourceSyntax.synCcnv Compiler.CompactSourceSyntax.synC2nd) (Compiler.CompactSourceSyntax.synCcom F Compiler.CompactSourceSyntax.synC2nd)).fv

Checked nominal proof certificate identified upstream as nb077_wpp_refl_0063.

Equations

• NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb077WppRefl0063 x F I = ⋯.reflOn