∀ {ι : Type u_5} {κ : Type u_6} {σ : ι → Type u_7} {τ : κ → Type u_8} [inst : (i : ι) → TopologicalSpace (σ i)]
  [inst_1 : (k : κ) → TopologicalSpace (τ k)] {f₁ : ι → κ} {f₂ : (i : ι) → σ i → τ (f₁ i)},
  (∀ (i : ι), Continuous (f₂ i)) → Continuous (Sigma.map f₁ f₂)