Lemma iter_chain_mor_is_point (i : nat) (A : C) : iter_chain_mor i A = σ ((F ^ i) A). Proof. apply pathsinv0. induction i. - exact (idpath _). - exact (well_pointed_pointwise F_well_pointed ((F ^ i) A) @ maponpaths (#F) IHi). Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.Limits.Graphs.Colimits. Require Import UniMath.CategoryTheory.Chains.Chains. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.whiskering.