no goals
α : Type u_1
inst✝¹ : TopologicalSpace α
β : Type u_2
inst✝ : Preorder β
f g : α → β
x : α
s t : Set α
y z : β
⊢ UpperSemicontinuousWithinAt f univ x ↔ UpperSemicontinuousAt f x
simp [UpperSemicontinuousWithinAt, UpperSemicontinuousAt, nhdsWithin_univ]