fact: Definition p_right_identity_of_coherent_inverse_for_rewrite x y f : p_right_identity_of_coherent_inverse_for_rewrite_type x y f := ap (fun i => @morphism_inverse _ _ _ _ (@isisomorphism_isomorphic _ _ _ i)) (@p_right_identity_of_coherent_iso_for_rewrite x y f).
imports: Category.Core Functor.Core NaturalTransformation.Core Category.Morphisms FunctorCategory.Morphisms Functor.Composition.Core NaturalTransformation.Composition.Core NaturalTransformation.Composition.Laws NaturalTransformation.Isomorphisms NaturalTransformation.Paths FunctorCategory.Core Pseudofunctor.Core HoTT.Tactics