∀ {R : Type u_1} (S : Type u_3) {M : Type u_4} {M₁ : Type u_5} {M₂ : Type u_6} [inst : Semiring R] [inst_1 : Semiring S]
  [inst_2 : AddCommMonoid M] [inst_3 : AddCommMonoid M₁] [inst_4 : AddCommMonoid M₂] [inst_5 : Module R M]
  [inst_6 : Module R M₁] [inst_7 : Module R M₂] [inst_8 : Module S M₁] [inst_9 : Module S M₂]
  [inst_10 : SMulCommClass R S M₁] [inst_11 : SMulCommClass R S M₂] [inst_12 : LinearMap.CompatibleSMul M₁ M₂ S R]
  (f f_1 : M₁ →ₗ[R] M₂), f = f_1 → LinearMap.compRight S f = LinearMap.compRight S f_1