{R : Ring} {M N : RightModule R} (f : RightModuleHomomorphism M N) : forall m r, f (ract m r) = ract (f m) r := fun m r => lm_homo_lact (R:=rng_op R) M N f r m.
Require Import WildCat. Require Import Spaces.Nat.Core. Require Import Classes.interfaces.canonical_names. Require Import Algebra.Groups.Kernel Algebra.Groups.Image Algebra.Groups.QuotientGroup. Require Import Algebra.AbGroups.AbelianGroup Algebra.AbGroups.Biproduct. Require Import Rings.Ring.