Definition isofhlevel_inserter_help {n : nat} {X Y : UU} (HX : isofhlevel n X) (HY : isofhlevel (S n) Y) (f g : X → Y) : isofhlevel n (inserter_type f g). 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.