∀ {𝕜₁ : Type u_6} {𝕜₂ : Type u_4} {𝕜₃ : Type u_5} [inst : NormedField 𝕜₁] [inst_1 : NormedField 𝕜₂]
  [inst_2 : NormedField 𝕜₃] {σ : 𝕜₁ →+* 𝕜₂} {τ : 𝕜₂ →+* 𝕜₃} {ρ : 𝕜₁ →+* 𝕜₃} [inst_3 : RingHomCompTriple σ τ ρ]
  {E : Type u_3} {F : Type u_1} (G : Type u_2) [inst_4 : AddCommGroup E] [inst_5 : Module 𝕜₁ E]
  [inst_6 : AddCommGroup F] [inst_7 : Module 𝕜₂ F] [inst_8 : AddCommGroup G] [inst_9 : Module 𝕜₃ G]
  [inst_10 : TopologicalSpace E] [inst_11 : TopologicalSpace F] [inst_12 : TopologicalSpace G] (𝔖 : Set (Set E))
  (𝔗 : Set (Set F)) [inst_13 : IsTopologicalAddGroup G] (L : E →SL[σ] F),
  Set.MapsTo (fun x => ⇑L '' x) 𝔖 𝔗 → Continuous fun f => ContinuousLinearMap.comp f L