∀ {α : Type u_1} [inst : TopologicalSpace α] {γ : Type u_4} [inst_1 : LinearOrder γ] [inst_2 : TopologicalSpace γ]
  [ClosedIciTopology γ] {f : α → γ} {s : Set α},
  IsClosed s → LowerSemicontinuousOn f s = IsClosed {p | p.1 ∈ s ∧ f p.1 ≤ p.2}