fact: Definition right_composition_of : right_morphism_of A A'' ((associator_2 DF' DF F) o ((DF' oL T) o ((associator_1 DF' F' CF) o ((T' oR CF) o (associator_2 F'' CF' CF))))) = (associator_1 G'' DF' DF) o ((right_morphism_of A' A'' T' oR DF) o ((associator_2 CF' G' DF) o ((CF' oL right_morphism_of A A' T) o (associator_1 CF' CF G)))) := ap (@NaturalTransformation.Dual.opposite _ _ _ _) (@left_composition_of _ _ _ _ (DF^op) (DF'^op) _ _ _ (CF^op) (CF'^op) _ _ A^op _ _ A'^op _ _ A''^op T^op T'^op).
imports: Category.Core Functor.Core NaturalTransformation.Core Functor.Identity Functor.Composition.Core NaturalTransformation.Composition.Core NaturalTransformation.Composition.Laws NaturalTransformation.Identity NaturalTransformation.Paths Functor.Dual NaturalTransformation.Dual Adjoint.Core Adjoint.UnitCounit Adjoint.Dual Adjoint.Functorial.Parts HoTT.Tactics Basics.Tactics