(A B : Type) := natequiv_inverse (join_rec_inv_natequiv A B). Local join_rec_natequiv_check (A B P : Type) : equiv_fun_0gpd ( A B P) = @join_rec A B P := idpath. Global Instance is0functor_join_rec (A B P : Type) : Is0Functor (@join_rec A B P). Proof. change (Is0Functor (equiv_fun_0gpd ( A B P))). exact _. Defined.
Require Import Basics Types. Require Import Cubical.DPath Cubical.PathSquare. Require Import NullHomotopy. Require Import Extensions. Require Import Colimits.Pushout. Require Import Truncations.Core Truncations.Connectedness. Require Import Pointed.Core. Require Import WildCat. Require Import Spaces.Nat.Core.