{z : A} {f g : cat_coprod I x $-> z} : (forall i, f $o cat_in i $== g $o cat_in i) -> f $== g := cat_prod_pr_eta I (A:=A^op) (x:=x).
Require Import Basics.Overture Basics.Tactics Basics.Decidable. Require Import Types.Bool. Require Import WildCat.Core WildCat.Equiv WildCat.Forall WildCat.NatTrans