∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] [h𝕜 : IsRCLikeNormedField 𝕜] {E : Type u_2}
  [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedSpace ℝ E] {s : Set E} {x : E},
  Convex ℝ s → (interior s).Nonempty → x ∈ closure s → UniqueDiffWithinAt 𝕜 s x