no goals
X : Type u_1
Y : Type u_2
Z : Type ?u.3146
inst✝² : TopologicalSpace X
inst✝¹ : TopologicalSpace Y
inst✝ : TopologicalSpace Z
g : Y → Z
f : X → Y
s : Set X
t : Set Y
⊢ IsLocallyHomeomorph f ↔ IsLocallyHomeomorphOn f Set.univ
simp only [IsLocallyHomeomorph, IsLocallyHomeomorphOn, Set.mem_univ, forall_true_left]