no goals
α : Type u_3
β : Type u_1
γ : Type u_2
δ : Type ?u.137449
inst✝³ : TopologicalSpace α
inst✝² : TopologicalSpace β
inst✝¹ : TopologicalSpace γ
inst✝ : TopologicalSpace δ
g : β → γ
f : α → β
hg : QuotientMap g
hf : QuotientMap f
⊢ inst✝¹ = coinduced (g ∘ f) inst✝³
rw [hg.right, hf.right, coinduced_compose]