proposition: Lemma isColim_weq_subproof2 {C : precategory} (g : graph) (D : diagram g C) (c : C) (cc : cocone D c) (H : ∏ d, isweq (Cocone_by_postcompose D c cc d)) (d : C) (cd : cocone D d) : is_cocone_mor cc cd (invmap (make_weq _ (H d)) cd).
proof: Proof. intro u. rewrite (isColim_weq_subproof1 D c cc d (invmap (make_weq _ (H d)) _) u). set (p := homotweqinvweq (make_weq _ (H d)) cd); simpl in p. now rewrite p. 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