∀ {V : Type u_2} {P : Type u_4} [inst : SeminormedAddCommGroup V] [inst_1 : NormedSpace ℝ V]
  [inst_2 : PseudoMetricSpace P] [inst_3 : NormedAddTorsor V P] {s : AffineSubspace ℝ P} {x : P},
  x ∉ s → (↑s).Nonempty → IsConnected {y | s.SSameSide x y}