Lemma isEqualizer'_weq_isEqualizer : isEqualizer f g h H ≃ isEqualizer'. Proof. apply weqimplimpl. - apply isEqualizer_to_isEqualizer'; assumption. - apply isEqualizer'_to_isEqualizer; assumption. - apply isaprop_isEqualizer. - apply isaprop_isEqualizer'. Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Monics. Require Import UniMath.CategoryTheory.Retracts.