proposition: Lemma mapcocone_functor_composite {g : graph} {D : diagram g A} {a : A} (cc : cocone D a) : mapcocone (functor_composite F G) _ cc = mapcocone G _ (mapcocone F _ cc).
proof: Proof. apply subtypePath. - intros x. repeat (apply impred_isaprop; intro). apply C. - reflexivity. Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.Propositions UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Adjunctions.Core