∀ {R : Type u_1} {M : Type u_2} {N : Type u_3} (A : Type u_4) [inst : CommSemiring R] [inst_1 : CommSemiring A]
  [inst_2 : Algebra R A] [inst_3 : AddCommMonoid M] [inst_4 : AddCommMonoid N] [inst_5 : Module R M]
  [inst_6 : Module R N] [inst_7 : Module A N] [inst_8 : IsScalarTower R A N] (l l_1 : M →ₗ[R] N),
  l = l_1 → LinearMap.liftBaseChange A l = LinearMap.liftBaseChange A l_1