def HierarchySpec.isJustified (hs : HierarchySpec M) (spec : OrderedSpectrum M)
(γ : ℝ) : Prop :=
∀ i : Fin hs.numGaps,
γ < spec.gap ⟨hs.gapPositions i, by have := hs.hgapBound i; omega⟩
(hs.hgapBound i)Endogenous Hierarchy: Why N Levels?