∀ (M : Type u_2) [inst : Monoid M] {R : Type u_1} [inst_1 : Semiring R] [inst_2 : MulSemiringAction M R] (x x_1 : R),
  (DistribMulActionHom.id M).toFun (x * x_1) = (DistribMulActionHom.id M).toFun (x * x_1)