proposition: Lemma Cocone_postcompose {C : precategory} {g : graph} {d : diagram g C} {c : C} (cc : cocone d c) (x : C) (f : C⟦c,x⟧) : ∏ u v (e : edge u v), dmor d e · (coconeIn cc v · f) = coconeIn cc u · f.
proof: Proof. now intros u v e; rewrite assoc, coconeInCommutes. 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