no goals
α : Type u_3
β : Type u_1
γ : Type u_2
δ : Type ?u.3864
inst✝³ : TopologicalSpace α
inst✝² : TopologicalSpace β
inst✝¹ : TopologicalSpace γ
inst✝ : TopologicalSpace δ
f : α → β
g : β → γ
hg : Inducing g
⊢ Continuous f ↔ Continuous (g ∘ f)
simp_rw [continuous_iff_continuousAt, hg.continuousAt_iff]