Definition type_equiv_weq_iso (A B : ob type_precat) : (A ≃ B) ≃ iso A B. Proof. exists (type_precat_equiv_iso A B). apply type_equiv_iso_is_equiv. Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Monics. Require Import UniMath.CategoryTheory.Epis. Require Import UniMath.CategoryTheory.Categories.Type.Core.