∀ {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] {p₁ p₂ : P}, p₂ ∈ AffineSubspace.perpBisector p₁ p₂ ↔ p₁ = p₂