Nominal proof certificates grouped in dependency order.

Certificates from NAR4C064C001Part003.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb064SplitAlpha0000 (x y z r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb064AlphaDummy023, nb064AlphaDummy026 r a), (nb064AlphaDummy022, nb064AlphaDummy025 r a), (nb064AlphaDummy021, nb064AlphaDummy024 r a), (nb064AlphaDummy019, nb064AlphaDummy020 r a), (nb064AlphaDummy015, nb064AlphaDummy017 r a), (nb064AlphaDummy016, nb064AlphaDummy018 r a), (nb064AlphaDummy008, nb064AlphaDummy010 r a), (nb064AlphaDummy007, nb064AlphaDummy009 r a), (nb064AlphaDummy013, nb064AlphaDummy014 r a), (nb064AlphaDummy011, nb064AlphaDummy012 r a), (nb064AlphaDummy000, a), (nb064AlphaDummy001, r), (nb064AlphaDummy005, nb064AlphaDummy006 x y z r a)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb064AlphaDummy022) (SemanticCore.Class.cv nb064AlphaDummy023)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb064AlphaDummy021) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb064AlphaDummy022) (SemanticCore.Class.cv nb064AlphaDummy023))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb064AlphaDummy025 r a)) (SemanticCore.Class.cv (nb064AlphaDummy026 r a))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb064AlphaDummy024 r a)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb064AlphaDummy025 r a)) (SemanticCore.Class.cv (nb064AlphaDummy026 r a)))).neg)

Checked nominal proof certificate identified upstream as nb064_split_alpha_0000.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb064SplitAlpha0001 (x y z r a : SemanticCore.Var) (dv_a_r : a ≠ r) : Nominal.TAlphaWff [(nb064AlphaDummy008, nb064AlphaDummy010 r a), (nb064AlphaDummy007, nb064AlphaDummy009 r a), (nb064AlphaDummy013, nb064AlphaDummy014 r a), (nb064AlphaDummy011, nb064AlphaDummy012 r a), (nb064AlphaDummy000, a), (nb064AlphaDummy001, r), (nb064AlphaDummy005, nb064AlphaDummy006 x y z r a)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb064AlphaDummy008) (SemanticCore.Class.cv nb064AlphaDummy001)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb064AlphaDummy007) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb064AlphaDummy008))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb064AlphaDummy010 r a)) (SemanticCore.Class.cv r)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb064AlphaDummy009 r a)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb064AlphaDummy010 r a)))).neg)

Checked nominal proof certificate identified upstream as nb064_split_alpha_0001.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb064SplitAlpha0002 (x y z r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb064AlphaDummy023, nb064AlphaDummy026 r a), (nb064AlphaDummy022, nb064AlphaDummy025 r a), (nb064AlphaDummy021, nb064AlphaDummy024 r a), (nb064AlphaDummy019, nb064AlphaDummy020 r a), (nb064AlphaDummy015, nb064AlphaDummy017 r a), (nb064AlphaDummy016, nb064AlphaDummy018 r a), (nb064AlphaDummy041, nb064AlphaDummy042 r a), (nb064AlphaDummy039, nb064AlphaDummy040 r a), (nb064AlphaDummy008, nb064AlphaDummy010 r a), (nb064AlphaDummy007, nb064AlphaDummy009 r a), (nb064AlphaDummy037, nb064AlphaDummy038 r a), (nb064AlphaDummy011, nb064AlphaDummy012 r a), (nb064AlphaDummy000, a), (nb064AlphaDummy001, r), (nb064AlphaDummy005, nb064AlphaDummy006 x y z r a)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb064AlphaDummy022) (SemanticCore.Class.cv nb064AlphaDummy023)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb064AlphaDummy021) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb064AlphaDummy022) (SemanticCore.Class.cv nb064AlphaDummy023))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb064AlphaDummy025 r a)) (SemanticCore.Class.cv (nb064AlphaDummy026 r a))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb064AlphaDummy024 r a)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb064AlphaDummy025 r a)) (SemanticCore.Class.cv (nb064AlphaDummy026 r a)))).neg)

Checked nominal proof certificate identified upstream as nb064_split_alpha_0002.

Equations

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

Certificates from NAR4C064C001Part004.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb064SplitAlpha0003 (x y z r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb064AlphaDummy041, nb064AlphaDummy042 r a), (nb064AlphaDummy039, nb064AlphaDummy040 r a), (nb064AlphaDummy008, nb064AlphaDummy010 r a), (nb064AlphaDummy007, nb064AlphaDummy009 r a), (nb064AlphaDummy037, nb064AlphaDummy038 r a), (nb064AlphaDummy011, nb064AlphaDummy012 r a), (nb064AlphaDummy000, a), (nb064AlphaDummy001, r), (nb064AlphaDummy005, nb064AlphaDummy006 x y z r a)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb064AlphaDummy041) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb064AlphaDummy008))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb064AlphaDummy041) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb064AlphaDummy008))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb064AlphaDummy042 r a)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb064AlphaDummy010 r a)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb064AlphaDummy042 r a)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb064AlphaDummy010 r a)))).neg)

Checked nominal proof certificate identified upstream as nb064_split_alpha_0003.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb064PairOccurrence (x y z r a : SemanticCore.Var) : Nominal.TAlphaClass [(nb064AlphaDummy000, a), (nb064AlphaDummy001, r), (nb064AlphaDummy005, nb064AlphaDummy006 x y z r a)] (SemanticCore.Class.cv nb064AlphaDummy005) (SemanticCore.Class.cv (nb064AlphaDummy006 x y z r a))

Checked nominal proof certificate identified upstream as nb064_pair_occurrence.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb064SplitAlpha0004 (x y z r a : SemanticCore.Var) (dv_a_r : a ≠ r) : Nominal.TAlphaWff [(nb064AlphaDummy000, a), (nb064AlphaDummy001, r), (nb064AlphaDummy005, nb064AlphaDummy006 x y z r a)] (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb064AlphaDummy005) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv nb064AlphaDummy001) (SemanticCore.Class.cv nb064AlphaDummy000))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb064AlphaDummy006 x y z r a)) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv r) (SemanticCore.Class.cv a)))

Checked nominal proof certificate identified upstream as nb064_split_alpha_0004.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb064SplitAlpha0005 (x y z r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb064AlphaDummy063, nb064AlphaDummy066 y z), (nb064AlphaDummy062, nb064AlphaDummy065 y z), (nb064AlphaDummy061, nb064AlphaDummy064 y z), (nb064AlphaDummy059, nb064AlphaDummy060 y z), (nb064AlphaDummy055, nb064AlphaDummy057 y z), (nb064AlphaDummy056, nb064AlphaDummy058 y z), (nb064AlphaDummy048, nb064AlphaDummy050 y z), (nb064AlphaDummy047, nb064AlphaDummy049 y z), (nb064AlphaDummy053, nb064AlphaDummy054 y z), (nb064AlphaDummy051, nb064AlphaDummy052 y z), (nb064AlphaDummy003, y), (nb064AlphaDummy004, z), (nb064AlphaDummy002, x), (nb064AlphaDummy000, a), (nb064AlphaDummy001, r), (nb064AlphaDummy005, nb064AlphaDummy006 x y z r a)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb064AlphaDummy062) (SemanticCore.Class.cv nb064AlphaDummy063)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb064AlphaDummy061) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb064AlphaDummy062) (SemanticCore.Class.cv nb064AlphaDummy063))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb064AlphaDummy065 y z)) (SemanticCore.Class.cv (nb064AlphaDummy066 y z))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb064AlphaDummy064 y z)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb064AlphaDummy065 y z)) (SemanticCore.Class.cv (nb064AlphaDummy066 y z)))).neg)

Checked nominal proof certificate identified upstream as nb064_split_alpha_0005.

Equations

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

Certificates from NAR4C064C001Part005.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb064SplitAlpha0006 (x y z r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb064AlphaDummy048, nb064AlphaDummy050 y z), (nb064AlphaDummy047, nb064AlphaDummy049 y z), (nb064AlphaDummy053, nb064AlphaDummy054 y z), (nb064AlphaDummy051, nb064AlphaDummy052 y z), (nb064AlphaDummy003, y), (nb064AlphaDummy004, z), (nb064AlphaDummy002, x), (nb064AlphaDummy000, a), (nb064AlphaDummy001, r), (nb064AlphaDummy005, nb064AlphaDummy006 x y z r a)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb064AlphaDummy048) (SemanticCore.Class.cv nb064AlphaDummy003)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb064AlphaDummy047) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb064AlphaDummy048))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb064AlphaDummy050 y z)) (SemanticCore.Class.cv y)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb064AlphaDummy049 y z)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb064AlphaDummy050 y z)))).neg)

Checked nominal proof certificate identified upstream as nb064_split_alpha_0006.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb064SplitAlpha0007 (x y z r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb064AlphaDummy063, nb064AlphaDummy066 y z), (nb064AlphaDummy062, nb064AlphaDummy065 y z), (nb064AlphaDummy061, nb064AlphaDummy064 y z), (nb064AlphaDummy059, nb064AlphaDummy060 y z), (nb064AlphaDummy055, nb064AlphaDummy057 y z), (nb064AlphaDummy056, nb064AlphaDummy058 y z), (nb064AlphaDummy081, nb064AlphaDummy082 y z), (nb064AlphaDummy079, nb064AlphaDummy080 y z), (nb064AlphaDummy048, nb064AlphaDummy050 y z), (nb064AlphaDummy047, nb064AlphaDummy049 y z), (nb064AlphaDummy077, nb064AlphaDummy078 y z), (nb064AlphaDummy051, nb064AlphaDummy052 y z), (nb064AlphaDummy003, y), (nb064AlphaDummy004, z), (nb064AlphaDummy002, x), (nb064AlphaDummy000, a), (nb064AlphaDummy001, r), (nb064AlphaDummy005, nb064AlphaDummy006 x y z r a)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb064AlphaDummy062) (SemanticCore.Class.cv nb064AlphaDummy063)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb064AlphaDummy061) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb064AlphaDummy062) (SemanticCore.Class.cv nb064AlphaDummy063))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb064AlphaDummy065 y z)) (SemanticCore.Class.cv (nb064AlphaDummy066 y z))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb064AlphaDummy064 y z)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb064AlphaDummy065 y z)) (SemanticCore.Class.cv (nb064AlphaDummy066 y z)))).neg)

Checked nominal proof certificate identified upstream as nb064_split_alpha_0007.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb064SplitAlpha0008 (x y z r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb064AlphaDummy055, nb064AlphaDummy057 y z), (nb064AlphaDummy056, nb064AlphaDummy058 y z), (nb064AlphaDummy081, nb064AlphaDummy082 y z), (nb064AlphaDummy079, nb064AlphaDummy080 y z), (nb064AlphaDummy048, nb064AlphaDummy050 y z), (nb064AlphaDummy047, nb064AlphaDummy049 y z), (nb064AlphaDummy077, nb064AlphaDummy078 y z), (nb064AlphaDummy051, nb064AlphaDummy052 y z), (nb064AlphaDummy003, y), (nb064AlphaDummy004, z), (nb064AlphaDummy002, x), (nb064AlphaDummy000, a), (nb064AlphaDummy001, r), (nb064AlphaDummy005, nb064AlphaDummy006 x y z r a)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb064AlphaDummy055) (SemanticCore.Class.cv nb064AlphaDummy048)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb064AlphaDummy056) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb064AlphaDummy055) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb064AlphaDummy055) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv nb064AlphaDummy055))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb064AlphaDummy057 y z)) (SemanticCore.Class.cv (nb064AlphaDummy050 y z))).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb064AlphaDummy058 y z)) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb064AlphaDummy057 y z)) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb064AlphaDummy057 y z)) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv (nb064AlphaDummy057 y z)))).neg)

Checked nominal proof certificate identified upstream as nb064_split_alpha_0008.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb064SplitAlpha0009 (x y z r a : SemanticCore.Var) (dv_y_z : y ≠ z) : Nominal.TAlphaWff [(nb064AlphaDummy077, nb064AlphaDummy078 y z), (nb064AlphaDummy051, nb064AlphaDummy052 y z), (nb064AlphaDummy003, y), (nb064AlphaDummy004, z), (nb064AlphaDummy002, x), (nb064AlphaDummy000, a), (nb064AlphaDummy001, r), (nb064AlphaDummy005, nb064AlphaDummy006 x y z r a)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb064AlphaDummy077) (SemanticCore.Class.cab nb064AlphaDummy047 (Compiler.CompactSourceSyntax.synWrex nb064AlphaDummy048 (SemanticCore.Class.cv nb064AlphaDummy004) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb064AlphaDummy047) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb064AlphaDummy048)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb064AlphaDummy077) (SemanticCore.Class.cab nb064AlphaDummy047 (Compiler.CompactSourceSyntax.synWrex nb064AlphaDummy048 (SemanticCore.Class.cv nb064AlphaDummy004) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb064AlphaDummy047) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb064AlphaDummy048)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb064AlphaDummy078 y z)) (SemanticCore.Class.cab (nb064AlphaDummy049 y z) (Compiler.CompactSourceSyntax.synWrex (nb064AlphaDummy050 y z) (SemanticCore.Class.cv z) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb064AlphaDummy049 y z)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb064AlphaDummy050 y z))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb064AlphaDummy078 y z)) (SemanticCore.Class.cab (nb064AlphaDummy049 y z) (Compiler.CompactSourceSyntax.synWrex (nb064AlphaDummy050 y z) (SemanticCore.Class.cv z) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb064AlphaDummy049 y z)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb064AlphaDummy050 y z))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).neg)

Checked nominal proof certificate identified upstream as nb064_split_alpha_0009.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb064SplitAlpha0010 (x y z r a : SemanticCore.Var) (dv_a_r : a ≠ r) (dv_a_x : a ≠ x) (dv_r_x : r ≠ x) (dv_r_y : r ≠ y) (dv_r_z : r ≠ z) (dv_x_y : x ≠ y) (dv_x_z : x ≠ z) (dv_y_z : y ≠ z) : Nominal.TAlphaWff [(nb064AlphaDummy001, r), (nb064AlphaDummy005, nb064AlphaDummy006 x y z r a)] (SemanticCore.Wff.all nb064AlphaDummy000 (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb064AlphaDummy005) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv nb064AlphaDummy001) (SemanticCore.Class.cv nb064AlphaDummy000))) (SemanticCore.Wff.all nb064AlphaDummy002 ((Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWss (SemanticCore.Class.cv nb064AlphaDummy002) (SemanticCore.Class.cv nb064AlphaDummy000)) (Compiler.CompactSourceSyntax.synWne (SemanticCore.Class.cv nb064AlphaDummy002) Compiler.CompactSourceSyntax.synC0)).imp (Compiler.CompactSourceSyntax.synWrex nb064AlphaDummy004 (SemanticCore.Class.cv nb064AlphaDummy002) (Compiler.CompactSourceSyntax.synWral nb064AlphaDummy003 (SemanticCore.Class.cv nb064AlphaDummy002) ((Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb064AlphaDummy003) (SemanticCore.Class.cv nb064AlphaDummy001) (SemanticCore.Class.cv nb064AlphaDummy004)).imp (SemanticCore.Wff.objEq nb064AlphaDummy003 nb064AlphaDummy004))))))).neg) (SemanticCore.Wff.all a (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb064AlphaDummy006 x y z r a)) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv r) (SemanticCore.Class.cv a))) (SemanticCore.Wff.all x ((Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWss (SemanticCore.Class.cv x) (SemanticCore.Class.cv a)) (Compiler.CompactSourceSyntax.synWne (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC0)).imp (Compiler.CompactSourceSyntax.synWrex z (SemanticCore.Class.cv x) (Compiler.CompactSourceSyntax.synWral y (SemanticCore.Class.cv x) ((Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv y) (SemanticCore.Class.cv r) (SemanticCore.Class.cv z)).imp (SemanticCore.Wff.objEq y z))))))).neg)

Checked nominal proof certificate identified upstream as nb064_split_alpha_0010.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nominalDfFound (x y z r a : SemanticCore.Var) (dv_a_r : a ≠ r) (dv_a_x : a ≠ x) (__dv_a_y : a ≠ y) (__dv_a_z : a ≠ z) (dv_r_x : r ≠ x) (dv_r_y : r ≠ y) (dv_r_z : r ≠ z) (dv_x_y : x ≠ y) (dv_x_z : x ≠ z) (dv_y_z : y ≠ z) : Nominal.NPrf (SemanticCore.Wff.classEq Compiler.CompactSourceSyntax.synCfound (Compiler.CompactSourceSyntax.synCopab r a (SemanticCore.Wff.all x ((Compiler.CompactSourceSyntax.synWa (Compiler.CompactSourceSyntax.synWss (SemanticCore.Class.cv x) (SemanticCore.Class.cv a)) (Compiler.CompactSourceSyntax.synWne (SemanticCore.Class.cv x) Compiler.CompactSourceSyntax.synC0)).imp (Compiler.CompactSourceSyntax.synWrex z (SemanticCore.Class.cv x) (Compiler.CompactSourceSyntax.synWral y (SemanticCore.Class.cv x) ((Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv y) (SemanticCore.Class.cv r) (SemanticCore.Class.cv z)).imp (SemanticCore.Wff.objEq y z))))))))

Checked nominal proof certificate identified upstream as nominal_df_found.

Equations

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