no goals
X : Type u_1
Y : Type ?u.69573
Z : Type ?u.69576
α : Type ?u.69579
ι : Type ?u.69582
π : ι → Type ?u.69587
inst✝³ : TopologicalSpace X
inst✝² : TopologicalSpace Y
inst✝¹ : TopologicalSpace Z
inst✝ : (i : ι) → TopologicalSpace (π i)
x y z : X
s : Set X
f : X → Y
t : Set (SeparationQuotient X)
⊢ Filter.map mk (𝓝ˢ s) = 𝓝ˢ (mk '' s)
rw [← comap_mk_nhdsSet_image, map_comap_of_surjective surjective_mk]