∀ {ι : Type u_1} {R : Type u_2} {M : Type u_3} [Finite ι] [inst : Semiring R] [inst_1 : TopologicalSpace R]
  [inst_2 : AddCommMonoid M] [inst_3 : Module R M] [inst_4 : TopologicalSpace M] [ContinuousAdd M] [ContinuousSMul R M]
  (f : (ι → R) →ₗ[R] M), Continuous ⇑f