{M N : Monoid} : MonoidHomomorphism (mnd_prod M N) N. Proof. snrapply Build_MonoidHomomorphism. 1: exact snd. split; hnf; reflexivity. Defined.
Require Import Basics.Overture Basics.Tactics Basics.Equivalences Basics.Trunc. Require Import Types.Sigma Types.Forall Types.Prod. Require Import WildCat.Core WildCat.Induced WildCat.Equiv WildCat.Universe Require Import (notations) Classes.interfaces.canonical_names.