proposition: Lemma ϕo_id : ϕ∙ i (id _ ) = id _ .
proof: Proof. apply id_identity2'. apply (pr2 (pr2 i)). apply I_func_I. Qed.
imports: UniMath.Folds.UnicodeNotations UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.Foundations.UnivalenceAxiom UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.Folds.folds_precat UniMath.Folds.from_precats_to_folds_and_back