∀ {V : Type u_1} {P : Type u_2} [inst : NormedAddCommGroup V] [inst_1 : InnerProductSpace ℝ V] [inst_2 : MetricSpace P]
  [inst_3 : NormedAddTorsor V P] {n : ℕ} (s : Affine.Simplex ℝ P n),
  (s.circumsphere.center ∈ affineSpan ℝ (Set.range s.points) ∧
      Set.range s.points ⊆ Metric.sphere s.circumsphere.center s.circumsphere.radius) ∧
    ∀ (cs : EuclideanGeometry.Sphere P),
      cs.center ∈ affineSpan ℝ (Set.range s.points) ∧ Set.range s.points ⊆ Metric.sphere cs.center cs.radius →
        cs = s.circumsphere