proposition: Lemma postcompWithColimArrow {C : precategory} {g : graph} (D : diagram g C) (CC : ColimCocone D) (c : C) (cc : cocone D c) (d : C) (k : C⟦c,d⟧) : colimArrow CC c cc · k = colimArrow CC d (make_cocone (λ u, coconeIn cc u · k) (Cocone_postcompose cc d k)).
proof: Proof. apply colimArrowUnique. now intro u; rewrite assoc, colimArrowCommutes. 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