{A : Type} `{Is1Cat A, !HasBinaryCoproducts A} {w x y z : A} (f : y $-> x) (g : x $-> w) (h : z $-> w) : cat_bincoprod_rec g h $o fmap10 (fun x y => cat_bincoprod x y) f z $== cat_bincoprod_rec (g $o f) h := @cat_binprod_fmap10_corec A^op _ _ _ _ hasbinaryproducts_op_hasbinarycoproducts _ _ _ _ f g h.
Require Import Basics.Overture Basics.Tactics Basics.Decidable. Require Import Types.Bool. Require Import WildCat.Core WildCat.Equiv WildCat.Forall WildCat.NatTrans