simp only [setOf_forall, MapsTo]
U : Set ℂ
Q : Set ℂ → Set ℂ
ι : Type u_1
l : Filter ι
hU : IsOpen U
hQ : ∀ K ∈ compacts U, IsCompact (Q K)
⊢ IsClosed {a | ∀ K ∈ compacts U, MapsTo a K (Q K)}
U : Set ℂ
Q : Set ℂ → Set ℂ
ι : Type u_1
l : Filter ι
hU : IsOpen U
hQ : ∀ K ∈ compacts U, IsCompact (Q K)
⊢ IsClosed (⋂ i ∈ compacts U, ⋂ i_1 ∈ i, {x | x i_1 ∈ Q i})