Definition module_kernel_eq {R : ring} {A B : module R} (f : modulefun A B) x : f (submodule_incl (module_kernel f) x) = unel B := (pr2 x).
Require Import UniMath.MoreFoundations.Subtypes. Require Import UniMath.Algebra.RigsAndRings. Require Import UniMath.Algebra.Monoids. Require Import UniMath.Algebra.Groups. Require Import UniMath.Algebra.Modules.Core.