Lemma modulebinop_runax {R : ring} {M N : module R} (f : R-mod(M, N)) : modulehombinop f (unelmodulefun M N) = f. Proof. use modulefun_paths2. intros x. use (runax N). Qed.
Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.Algebra.RigsAndRings. Require Import UniMath.Algebra.Groups. Require Import UniMath.Algebra.Monoids.