∀ {Y : Type u_2} [inst : TopologicalSpace Y] [NormalSpace Y] {s : Set Y} (f : C(↑s, ℝ)) {t : Set ℝ} [t.OrdConnected],
  (∀ (x : ↑s), f x ∈ t) → t.Nonempty → IsClosed s → ∃ g, (∀ (y : Y), g y ∈ t) ∧ ContinuousMap.restrict s g = f