no goals
X : Type u_1
Y : Type u_2
Z : Type ?u.32496
α : Type ?u.32499
ι : Type ?u.32502
π : ι → Type ?u.32507
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
hf : Inducing f
⊢ (f x ~ᵢ f y) ↔ (x ~ᵢ y)
simp only [inseparable_iff_specializes_and, hf.specializes_iff]