∀ {M : Type u_1} [inst : Monoid M] {N : Type u_2} [inst_1 : Monoid N] {φ : M →* N} {R : Type u_10} [inst_2 : Semiring R]
  [inst_3 : MulSemiringAction M R] {S : Type u_12} [inst_4 : Semiring S] [inst_5 : MulSemiringAction N S]
  (self : R →ₑ+*[φ] S), self.toFun 1 = 1