Definition isofhlevel_equifier_help {n : nat} {X Y : UU} (HX : isofhlevel n X) (HY : isofhlevel (S(S n)) Y) {f g : X → Y} (p₁ p₂ : f ~ g) : isofhlevel n (equifier_type p₁ p₂). Proof. use isofhleveltotal2. - exact HX. - intro. apply HY. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Examples.OneTypes. Require Import UniMath.Bicategories.Limits.Final. Require Import UniMath.Bicategories.Limits.Products. Require Import UniMath.Bicategories.Limits.Pullbacks. Require Import UniMath.Bicategories.Limits.Inserters. Require Import UniMath.Bicategories.Limits.Equifiers.