CAP_project/CartesianCategories/gap/SymmetricCartesianCategoriesDerivedMethods.gi at 8b5ad6b8eb15c655b15fc3847ba8893d8ef1c920 · mohamed-barakat/CAP_project · GitHub

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# SPDX-License-Identifier: GPL-2.0-or-later
# CartesianCategories: Cartesian and cocartesian categories and various subdoctrines
#
# Implementations
#
# THIS FILE WAS AUTOMATICALLY GENERATED


##
AddDerivationToCAP( CartesianBraiding,
                    "CartesianBraiding using CartesianBraidingInverse",
                    [ [ CartesianBraidingInverse, 1 ] ],

  function( cat, object_1, object_2 )

    return CartesianBraidingInverse( cat,
                            object_2, object_1 );

end : CategoryFilter := IsCartesianCategory );

##
AddDerivationToCAP( CartesianBraidingInverse,
                    "CartesianBraidingInverse using CartesianBraiding",
                    [ [ CartesianBraiding, 1 ] ],

  function( cat, object_1, object_2 )

    return CartesianBraiding( cat,
                     object_2, object_1 );

end : CategoryFilter := IsCartesianCategory );

##
AddDerivationToCAP( CartesianBraidingWithGivenDirectProducts,
                    "CartesianBraidingWithGivenDirectProducts using CartesianBraidingInverseWithGivenDirectProducts",
                    [ [ CartesianBraidingInverseWithGivenDirectProducts, 1 ] ],

  function( cat, object_1_x_object_2, object_1, object_2, object_2_x_object_1 )

    return CartesianBraidingInverseWithGivenDirectProducts( cat,
                            object_1_x_object_2,
                            object_2, object_1,
                            object_2_x_object_1 );

end : CategoryFilter := IsCartesianCategory );

##
AddDerivationToCAP( CartesianBraidingInverseWithGivenDirectProducts,
                    "CartesianBraidingInverseWithGivenDirectProducts using CartesianBraidingWithGivenDirectProducts",
                    [ [ CartesianBraidingWithGivenDirectProducts, 1 ] ],

  function( cat, object_2_x_object_1, object_1, object_2, object_1_x_object_2 )

    return CartesianBraidingWithGivenDirectProducts( cat,
                     object_2_x_object_1,
                     object_2, object_1,
                     object_1_x_object_2 );

end : CategoryFilter := IsCartesianCategory );