∀ (R : Type u_1) (A : Type u_2) (M : Type u_4) (N : Type u_5) [inst : CommSemiring R] [inst_1 : Semiring A]
  [inst_2 : Algebra R A] [inst_3 : AddCommMonoid M] [inst_4 : AddCommMonoid N] [inst_5 : Module R M]
  [inst_6 : Module R N] (f : M →ₗ[R] N), (LinearMap.baseChangeHom R A M N) f = LinearMap.baseChange A f