∀ {A : Type u_1} [inst : NonUnitalRing A] [inst_1 : PartialOrder A] [inst_2 : StarRing A] [StarOrderedRing A]
  [inst_4 : TopologicalSpace A] [inst_5 : Module ℝ A] [inst_6 : IsScalarTower ℝ A A] [inst_7 : SMulCommClass ℝ A A]
  [NonUnitalContinuousFunctionalCalculus ℝ A IsSelfAdjoint] [NonnegSpectrumClass ℝ A] {a : A},
  (0 ≤ a) = (IsSelfAdjoint a ∧ QuasispectrumRestricts a ⇑ContinuousMap.realToNNReal)