Proposition is_minimal_is_prop (C : homotopical_category) : isaprop (is_minimal C). Proof. unfold is_minimal. apply impred ; intro. apply impred ; intro. apply impred ; intro. apply isaprop_is_iso. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Monics. Require Import UniMath.CategoryTheory.Epis. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos.