∀ {R : Type u_1} [inst : Semiring R] {M : Type u_2} [inst_1 : TopologicalSpace M] [inst_2 : AddCommMonoid M]
  [inst_3 : Module R M] {M₂ : Type u_3} [inst_4 : TopologicalSpace M₂] [inst_5 : AddCommMonoid M₂]
  [inst_6 : Module R M₂] {ι : Type u_4} {φ : ι → Type u_5} [inst_7 : (i : ι) → TopologicalSpace (φ i)]
  [inst_8 : (i : ι) → AddCommMonoid (φ i)] [inst_9 : (i : ι) → Module R (φ i)] (f : (i : ι) → M →L[R] φ i)
  (g : M₂ →L[R] M), (ContinuousLinearMap.pi f).comp g = ContinuousLinearMap.pi fun i => (f i).comp g