{A} {D : A -> Type} `{DHasEquivs A D} {a b : A} {e : a $<~> b} {a' : D a} {b' : D b} (e' : DCatEquiv e a' b') : DGpdHom (cate_inv_V e) (dcate_fun (e'^-1$')^-1$') (dcate_fun e'). Proof. apply dcate_moveR_V1. apply dgpd_rev. apply dcate_issect. 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.