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