proposition: Lemma isCoconeOverAlg n Sn (e : edge n Sn) : dmor Fchain e · an Sn = an n.
proof: Proof. destruct e. induction n as [|n IHn]. - now apply InitialArrowUnique. - simpl; rewrite assoc. apply cancel_postcomposition, pathsinv0. eapply pathscomp0; [|simpl; apply functor_comp]. now apply maponpaths, pathsinv0, IHn. Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.FunctorAlgebras UniMath.CategoryTheory.Chains.Chains