{A} {D : A -> Type} `{DHasEquivs A D} {a b : A} {f : a $<~> b} {a' : D a} {b' : D b} (f' : DCatEquiv f a' b') : DGpdHom (cate_issect f) (dcate_fun f'^-1$' $o' f') (DId a'). Proof. refine (_ $@' ' f'). refine (_ $@R' (dcate_fun f')). apply dcate_buildequiv_fun. Defined.
Require Import Basics.Overture. Require Import Basics.Tactics. Require Import Basics.Equivalences. Require Import Types.Sigma. Require Import WildCat.Core. Require Import WildCat.Displayed. Require Import WildCat.Equiv.