Nominal proof certificates grouped in dependency order.

Certificates from NAR4C063C001Part004.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb063SplitAlpha0000 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb063AlphaDummy022, nb063AlphaDummy025 r a), (nb063AlphaDummy021, nb063AlphaDummy024 r a), (nb063AlphaDummy020, nb063AlphaDummy023 r a), (nb063AlphaDummy018, nb063AlphaDummy019 r a), (nb063AlphaDummy014, nb063AlphaDummy016 r a), (nb063AlphaDummy015, nb063AlphaDummy017 r a), (nb063AlphaDummy007, nb063AlphaDummy009 r a), (nb063AlphaDummy006, nb063AlphaDummy008 r a), (nb063AlphaDummy012, nb063AlphaDummy013 r a), (nb063AlphaDummy010, nb063AlphaDummy011 r a), (nb063AlphaDummy000, a), (nb063AlphaDummy001, r), (nb063AlphaDummy004, nb063AlphaDummy005 x y r a)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb063AlphaDummy021) (SemanticCore.Class.cv nb063AlphaDummy022)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb063AlphaDummy020) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb063AlphaDummy021) (SemanticCore.Class.cv nb063AlphaDummy022))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb063AlphaDummy024 r a)) (SemanticCore.Class.cv (nb063AlphaDummy025 r a))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb063AlphaDummy023 r a)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb063AlphaDummy024 r a)) (SemanticCore.Class.cv (nb063AlphaDummy025 r a)))).neg)

Checked nominal proof certificate identified upstream as nb063_split_alpha_0000.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb063SplitAlpha0001 (x y r a : SemanticCore.Var) (dv_a_r : a ≠ r) : Nominal.TAlphaWff [(nb063AlphaDummy007, nb063AlphaDummy009 r a), (nb063AlphaDummy006, nb063AlphaDummy008 r a), (nb063AlphaDummy012, nb063AlphaDummy013 r a), (nb063AlphaDummy010, nb063AlphaDummy011 r a), (nb063AlphaDummy000, a), (nb063AlphaDummy001, r), (nb063AlphaDummy004, nb063AlphaDummy005 x y r a)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb063AlphaDummy007) (SemanticCore.Class.cv nb063AlphaDummy001)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb063AlphaDummy006) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb063AlphaDummy007))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb063AlphaDummy009 r a)) (SemanticCore.Class.cv r)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb063AlphaDummy008 r a)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb063AlphaDummy009 r a)))).neg)

Checked nominal proof certificate identified upstream as nb063_split_alpha_0001.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb063SplitAlpha0002 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb063AlphaDummy022, nb063AlphaDummy025 r a), (nb063AlphaDummy021, nb063AlphaDummy024 r a), (nb063AlphaDummy020, nb063AlphaDummy023 r a), (nb063AlphaDummy018, nb063AlphaDummy019 r a), (nb063AlphaDummy014, nb063AlphaDummy016 r a), (nb063AlphaDummy015, nb063AlphaDummy017 r a), (nb063AlphaDummy040, nb063AlphaDummy041 r a), (nb063AlphaDummy038, nb063AlphaDummy039 r a), (nb063AlphaDummy007, nb063AlphaDummy009 r a), (nb063AlphaDummy006, nb063AlphaDummy008 r a), (nb063AlphaDummy036, nb063AlphaDummy037 r a), (nb063AlphaDummy010, nb063AlphaDummy011 r a), (nb063AlphaDummy000, a), (nb063AlphaDummy001, r), (nb063AlphaDummy004, nb063AlphaDummy005 x y r a)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb063AlphaDummy021) (SemanticCore.Class.cv nb063AlphaDummy022)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb063AlphaDummy020) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb063AlphaDummy021) (SemanticCore.Class.cv nb063AlphaDummy022))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb063AlphaDummy024 r a)) (SemanticCore.Class.cv (nb063AlphaDummy025 r a))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb063AlphaDummy023 r a)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb063AlphaDummy024 r a)) (SemanticCore.Class.cv (nb063AlphaDummy025 r a)))).neg)

Checked nominal proof certificate identified upstream as nb063_split_alpha_0002.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb063SplitAlpha0003 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb063AlphaDummy040, nb063AlphaDummy041 r a), (nb063AlphaDummy038, nb063AlphaDummy039 r a), (nb063AlphaDummy007, nb063AlphaDummy009 r a), (nb063AlphaDummy006, nb063AlphaDummy008 r a), (nb063AlphaDummy036, nb063AlphaDummy037 r a), (nb063AlphaDummy010, nb063AlphaDummy011 r a), (nb063AlphaDummy000, a), (nb063AlphaDummy001, r), (nb063AlphaDummy004, nb063AlphaDummy005 x y r a)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb063AlphaDummy040) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb063AlphaDummy007))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb063AlphaDummy040) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb063AlphaDummy007))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb063AlphaDummy041 r a)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb063AlphaDummy009 r a)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb063AlphaDummy041 r a)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb063AlphaDummy009 r a)))).neg)

Checked nominal proof certificate identified upstream as nb063_split_alpha_0003.

Equations

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

Certificates from NAR4C063C001Part005.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb063PairOccurrence (x y r a : SemanticCore.Var) : Nominal.TAlphaClass [(nb063AlphaDummy000, a), (nb063AlphaDummy001, r), (nb063AlphaDummy004, nb063AlphaDummy005 x y r a)] (SemanticCore.Class.cv nb063AlphaDummy004) (SemanticCore.Class.cv (nb063AlphaDummy005 x y r a))

Checked nominal proof certificate identified upstream as nb063_pair_occurrence.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb063SplitAlpha0004 (x y r a : SemanticCore.Var) (dv_a_r : a ≠ r) : Nominal.TAlphaWff [(nb063AlphaDummy000, a), (nb063AlphaDummy001, r), (nb063AlphaDummy004, nb063AlphaDummy005 x y r a)] (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb063AlphaDummy004) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv nb063AlphaDummy001) (SemanticCore.Class.cv nb063AlphaDummy000))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb063AlphaDummy005 x y r a)) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv r) (SemanticCore.Class.cv a)))

Checked nominal proof certificate identified upstream as nb063_split_alpha_0004.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb063SplitAlpha0005 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb063AlphaDummy058, nb063AlphaDummy061 x y), (nb063AlphaDummy057, nb063AlphaDummy060 x y), (nb063AlphaDummy056, nb063AlphaDummy059 x y), (nb063AlphaDummy054, nb063AlphaDummy055 x y), (nb063AlphaDummy050, nb063AlphaDummy052 x y), (nb063AlphaDummy051, nb063AlphaDummy053 x y), (nb063AlphaDummy043, nb063AlphaDummy045 x y), (nb063AlphaDummy042, nb063AlphaDummy044 x y), (nb063AlphaDummy048, nb063AlphaDummy049 x y), (nb063AlphaDummy046, nb063AlphaDummy047 x y), (nb063AlphaDummy003, y), (nb063AlphaDummy002, x), (nb063AlphaDummy000, a), (nb063AlphaDummy001, r), (nb063AlphaDummy004, nb063AlphaDummy005 x y r a)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb063AlphaDummy057) (SemanticCore.Class.cv nb063AlphaDummy058)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb063AlphaDummy056) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb063AlphaDummy057) (SemanticCore.Class.cv nb063AlphaDummy058))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb063AlphaDummy060 x y)) (SemanticCore.Class.cv (nb063AlphaDummy061 x y))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb063AlphaDummy059 x y)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb063AlphaDummy060 x y)) (SemanticCore.Class.cv (nb063AlphaDummy061 x y)))).neg)

Checked nominal proof certificate identified upstream as nb063_split_alpha_0005.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb063SplitAlpha0006 (x y r a : SemanticCore.Var) (dv_x_y : x ≠ y) : Nominal.TAlphaWff [(nb063AlphaDummy043, nb063AlphaDummy045 x y), (nb063AlphaDummy042, nb063AlphaDummy044 x y), (nb063AlphaDummy048, nb063AlphaDummy049 x y), (nb063AlphaDummy046, nb063AlphaDummy047 x y), (nb063AlphaDummy003, y), (nb063AlphaDummy002, x), (nb063AlphaDummy000, a), (nb063AlphaDummy001, r), (nb063AlphaDummy004, nb063AlphaDummy005 x y r a)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb063AlphaDummy043) (SemanticCore.Class.cv nb063AlphaDummy002)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb063AlphaDummy042) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb063AlphaDummy043))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb063AlphaDummy045 x y)) (SemanticCore.Class.cv x)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb063AlphaDummy044 x y)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb063AlphaDummy045 x y)))).neg)

Checked nominal proof certificate identified upstream as nb063_split_alpha_0006.

Equations

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

Certificates from NAR4C063C001Part006.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb063SplitAlpha0007 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb063AlphaDummy058, nb063AlphaDummy061 x y), (nb063AlphaDummy057, nb063AlphaDummy060 x y), (nb063AlphaDummy056, nb063AlphaDummy059 x y), (nb063AlphaDummy054, nb063AlphaDummy055 x y), (nb063AlphaDummy050, nb063AlphaDummy052 x y), (nb063AlphaDummy051, nb063AlphaDummy053 x y), (nb063AlphaDummy076, nb063AlphaDummy077 x y), (nb063AlphaDummy074, nb063AlphaDummy075 x y), (nb063AlphaDummy043, nb063AlphaDummy045 x y), (nb063AlphaDummy042, nb063AlphaDummy044 x y), (nb063AlphaDummy072, nb063AlphaDummy073 x y), (nb063AlphaDummy046, nb063AlphaDummy047 x y), (nb063AlphaDummy003, y), (nb063AlphaDummy002, x), (nb063AlphaDummy000, a), (nb063AlphaDummy001, r), (nb063AlphaDummy004, nb063AlphaDummy005 x y r a)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb063AlphaDummy057) (SemanticCore.Class.cv nb063AlphaDummy058)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb063AlphaDummy056) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb063AlphaDummy057) (SemanticCore.Class.cv nb063AlphaDummy058))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb063AlphaDummy060 x y)) (SemanticCore.Class.cv (nb063AlphaDummy061 x y))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb063AlphaDummy059 x y)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb063AlphaDummy060 x y)) (SemanticCore.Class.cv (nb063AlphaDummy061 x y)))).neg)

Checked nominal proof certificate identified upstream as nb063_split_alpha_0007.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb063SplitAlpha0008 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb063AlphaDummy051, nb063AlphaDummy053 x y), (nb063AlphaDummy076, nb063AlphaDummy077 x y), (nb063AlphaDummy074, nb063AlphaDummy075 x y), (nb063AlphaDummy043, nb063AlphaDummy045 x y), (nb063AlphaDummy042, nb063AlphaDummy044 x y), (nb063AlphaDummy072, nb063AlphaDummy073 x y), (nb063AlphaDummy046, nb063AlphaDummy047 x y), (nb063AlphaDummy003, y), (nb063AlphaDummy002, x), (nb063AlphaDummy000, a), (nb063AlphaDummy001, r), (nb063AlphaDummy004, nb063AlphaDummy005 x y r a)] (SemanticCore.Wff.all nb063AlphaDummy050 (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb063AlphaDummy050) (SemanticCore.Class.cv nb063AlphaDummy043)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb063AlphaDummy051) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb063AlphaDummy050) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb063AlphaDummy050) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv nb063AlphaDummy050)))).neg) (SemanticCore.Wff.all (nb063AlphaDummy052 x y) (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb063AlphaDummy052 x y)) (SemanticCore.Class.cv (nb063AlphaDummy045 x y))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb063AlphaDummy053 x y)) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb063AlphaDummy052 x y)) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb063AlphaDummy052 x y)) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv (nb063AlphaDummy052 x y))))).neg)

Checked nominal proof certificate identified upstream as nb063_split_alpha_0008.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb063SplitAlpha0009 (x y r a : SemanticCore.Var) (dv_x_y : x ≠ y) : Nominal.TAlphaWff [(nb063AlphaDummy046, nb063AlphaDummy047 x y), (nb063AlphaDummy003, y), (nb063AlphaDummy002, x), (nb063AlphaDummy000, a), (nb063AlphaDummy001, r), (nb063AlphaDummy004, nb063AlphaDummy005 x y r a)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb063AlphaDummy046) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb063AlphaDummy042 (Compiler.CompactSourceSyntax.synWrex nb063AlphaDummy043 (SemanticCore.Class.cv nb063AlphaDummy002) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb063AlphaDummy042) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb063AlphaDummy043))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb063AlphaDummy046) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb063AlphaDummy042 (Compiler.CompactSourceSyntax.synWrex nb063AlphaDummy043 (SemanticCore.Class.cv nb063AlphaDummy003) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb063AlphaDummy042) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb063AlphaDummy043)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb063AlphaDummy047 x y)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb063AlphaDummy044 x y) (Compiler.CompactSourceSyntax.synWrex (nb063AlphaDummy045 x y) (SemanticCore.Class.cv x) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb063AlphaDummy044 x y)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb063AlphaDummy045 x y)))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb063AlphaDummy047 x y)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb063AlphaDummy044 x y) (Compiler.CompactSourceSyntax.synWrex (nb063AlphaDummy045 x y) (SemanticCore.Class.cv y) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb063AlphaDummy044 x y)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb063AlphaDummy045 x y))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))).neg)

Checked nominal proof certificate identified upstream as nb063_split_alpha_0009.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb063SplitAlpha0010 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb063AlphaDummy094, nb063AlphaDummy097 x y), (nb063AlphaDummy093, nb063AlphaDummy096 x y), (nb063AlphaDummy092, nb063AlphaDummy095 x y), (nb063AlphaDummy090, nb063AlphaDummy091 x y), (nb063AlphaDummy086, nb063AlphaDummy088 x y), (nb063AlphaDummy087, nb063AlphaDummy089 x y), (nb063AlphaDummy079, nb063AlphaDummy081 x y), (nb063AlphaDummy078, nb063AlphaDummy080 x y), (nb063AlphaDummy084, nb063AlphaDummy085 x y), (nb063AlphaDummy082, nb063AlphaDummy083 x y), (nb063AlphaDummy003, y), (nb063AlphaDummy002, x), (nb063AlphaDummy000, a), (nb063AlphaDummy001, r), (nb063AlphaDummy004, nb063AlphaDummy005 x y r a)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb063AlphaDummy093) (SemanticCore.Class.cv nb063AlphaDummy094)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb063AlphaDummy092) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb063AlphaDummy093) (SemanticCore.Class.cv nb063AlphaDummy094))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb063AlphaDummy096 x y)) (SemanticCore.Class.cv (nb063AlphaDummy097 x y))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb063AlphaDummy095 x y)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb063AlphaDummy096 x y)) (SemanticCore.Class.cv (nb063AlphaDummy097 x y)))).neg)

Checked nominal proof certificate identified upstream as nb063_split_alpha_0010.

Equations

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

Certificates from NAR4C063C001Part007.

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb063SplitAlpha0011 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb063AlphaDummy079, nb063AlphaDummy081 x y), (nb063AlphaDummy078, nb063AlphaDummy080 x y), (nb063AlphaDummy084, nb063AlphaDummy085 x y), (nb063AlphaDummy082, nb063AlphaDummy083 x y), (nb063AlphaDummy003, y), (nb063AlphaDummy002, x), (nb063AlphaDummy000, a), (nb063AlphaDummy001, r), (nb063AlphaDummy004, nb063AlphaDummy005 x y r a)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb063AlphaDummy079) (SemanticCore.Class.cv nb063AlphaDummy003)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb063AlphaDummy078) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb063AlphaDummy079))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb063AlphaDummy081 x y)) (SemanticCore.Class.cv y)).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb063AlphaDummy080 x y)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb063AlphaDummy081 x y)))).neg)

Checked nominal proof certificate identified upstream as nb063_split_alpha_0011.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb063SplitAlpha0012 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb063AlphaDummy094, nb063AlphaDummy097 x y), (nb063AlphaDummy093, nb063AlphaDummy096 x y), (nb063AlphaDummy092, nb063AlphaDummy095 x y), (nb063AlphaDummy090, nb063AlphaDummy091 x y), (nb063AlphaDummy086, nb063AlphaDummy088 x y), (nb063AlphaDummy087, nb063AlphaDummy089 x y), (nb063AlphaDummy112, nb063AlphaDummy113 x y), (nb063AlphaDummy110, nb063AlphaDummy111 x y), (nb063AlphaDummy079, nb063AlphaDummy081 x y), (nb063AlphaDummy078, nb063AlphaDummy080 x y), (nb063AlphaDummy108, nb063AlphaDummy109 x y), (nb063AlphaDummy082, nb063AlphaDummy083 x y), (nb063AlphaDummy003, y), (nb063AlphaDummy002, x), (nb063AlphaDummy000, a), (nb063AlphaDummy001, r), (nb063AlphaDummy004, nb063AlphaDummy005 x y r a)] ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv nb063AlphaDummy093) (SemanticCore.Class.cv nb063AlphaDummy094)) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb063AlphaDummy092) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv nb063AlphaDummy093) (SemanticCore.Class.cv nb063AlphaDummy094))).neg) ((SemanticCore.Wff.classEq (Compiler.CompactSourceSyntax.synCin (SemanticCore.Class.cv (nb063AlphaDummy096 x y)) (SemanticCore.Class.cv (nb063AlphaDummy097 x y))) Compiler.CompactSourceSyntax.synC0).imp (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb063AlphaDummy095 x y)) (Compiler.CompactSourceSyntax.synCun (SemanticCore.Class.cv (nb063AlphaDummy096 x y)) (SemanticCore.Class.cv (nb063AlphaDummy097 x y)))).neg)

Checked nominal proof certificate identified upstream as nb063_split_alpha_0012.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb063SplitAlpha0013 (x y r a : SemanticCore.Var) : Nominal.TAlphaWff [(nb063AlphaDummy087, nb063AlphaDummy089 x y), (nb063AlphaDummy112, nb063AlphaDummy113 x y), (nb063AlphaDummy110, nb063AlphaDummy111 x y), (nb063AlphaDummy079, nb063AlphaDummy081 x y), (nb063AlphaDummy078, nb063AlphaDummy080 x y), (nb063AlphaDummy108, nb063AlphaDummy109 x y), (nb063AlphaDummy082, nb063AlphaDummy083 x y), (nb063AlphaDummy003, y), (nb063AlphaDummy002, x), (nb063AlphaDummy000, a), (nb063AlphaDummy001, r), (nb063AlphaDummy004, nb063AlphaDummy005 x y r a)] (SemanticCore.Wff.all nb063AlphaDummy086 (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb063AlphaDummy086) (SemanticCore.Class.cv nb063AlphaDummy079)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb063AlphaDummy087) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb063AlphaDummy086) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb063AlphaDummy086) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv nb063AlphaDummy086)))).neg) (SemanticCore.Wff.all (nb063AlphaDummy088 x y) (Compiler.CompactSourceSyntax.synWa (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb063AlphaDummy088 x y)) (SemanticCore.Class.cv (nb063AlphaDummy081 x y))) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb063AlphaDummy089 x y)) (Compiler.CompactSourceSyntax.synCif (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb063AlphaDummy088 x y)) Compiler.CompactSourceSyntax.synCnnc) (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb063AlphaDummy088 x y)) Compiler.CompactSourceSyntax.synC1c) (SemanticCore.Class.cv (nb063AlphaDummy088 x y))))).neg)

Checked nominal proof certificate identified upstream as nb063_split_alpha_0013.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb063SplitAlpha0014 (x y r a : SemanticCore.Var) (dv_x_y : x ≠ y) : Nominal.TAlphaWff [(nb063AlphaDummy082, nb063AlphaDummy083 x y), (nb063AlphaDummy003, y), (nb063AlphaDummy002, x), (nb063AlphaDummy000, a), (nb063AlphaDummy001, r), (nb063AlphaDummy004, nb063AlphaDummy005 x y r a)] (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb063AlphaDummy082) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb063AlphaDummy078 (Compiler.CompactSourceSyntax.synWrex nb063AlphaDummy079 (SemanticCore.Class.cv nb063AlphaDummy002) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb063AlphaDummy078) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb063AlphaDummy079)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))))) (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb063AlphaDummy083 x y)) (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb063AlphaDummy080 x y) (Compiler.CompactSourceSyntax.synWrex (nb063AlphaDummy081 x y) (SemanticCore.Class.cv x) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb063AlphaDummy080 x y)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb063AlphaDummy081 x y))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))))

Checked nominal proof certificate identified upstream as nb063_split_alpha_0014.

Equations

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

noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nominalDfConnex (x y r a : SemanticCore.Var) (dv_a_r : a ≠ r) (dv_a_x : a ≠ x) (dv_a_y : a ≠ y) (dv_r_x : r ≠ x) (dv_r_y : r ≠ y) (dv_x_y : x ≠ y) : Nominal.NPrf (SemanticCore.Wff.classEq Compiler.CompactSourceSyntax.synCconnex (Compiler.CompactSourceSyntax.synCopab r a (Compiler.CompactSourceSyntax.synWral x (SemanticCore.Class.cv a) (Compiler.CompactSourceSyntax.synWral y (SemanticCore.Class.cv a) (Compiler.CompactSourceSyntax.synWo (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv x) (SemanticCore.Class.cv r) (SemanticCore.Class.cv y)) (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv y) (SemanticCore.Class.cv r) (SemanticCore.Class.cv x)))))))

Checked nominal proof certificate identified upstream as nominal_df_connex.

Equations

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