(T T' : F →L[ℂ] F) (hne0 : (minmaxSet T 0).Nonempty) (hne1 : (minmaxSet T 1).Nonempty) : |minmaxGap T - minmaxGap T'| ≤ 2 * ‖T - T'‖

-- Generated from ChapterSirkRitzPerturbation.lean — theorem BookProof.RitzPerturbation.abs_minmaxGap_sub_le
import Mathlib
import Definitions.Def_ChapterSirkRitzPerturbation
open BookProof.RitzPerturbation








noncomputable section


open BookProof.RitzMinMax BookProof.ChapterSirkRitzSpectrum BookProof.HermiteGalerkin
open Filter Topology

variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F] [CompleteSpace F]

theorem BookProof.RitzPerturbation.abs_minmaxGap_sub_le (T T' : F →L[ℂ] F)
    (hne0 : (minmaxSet T 0).Nonempty) (hne1 : (minmaxSet T 1).Nonempty) :
    |minmaxGap T - minmaxGap T'| ≤ 2 * ‖T - T'‖ := by sorry