proposition: Lemma module_mult_0_to_0 {R : ring} {M : module R} (x : M) : ringunel1 * x = @unel M.
proof: Proof. unfold module_mult. cbn. assert (pr2module M ringunel1 = @ringunel1 (ringofendabgr M)). - exact (rigfun_to_unel_rigaddmonoid (pr2module M)). - rewrite X. reflexivity. Defined.
imports: UniMath.MoreFoundations.Tactics UniMath.Algebra.RigsAndRings UniMath.Algebra.Groups UniMath.Algebra.Monoids