(T : F →L[ℂ] F) (hne1 : (minmaxSet T 1).Nonempty) : 0 ≤ minmaxGap T

Proved

BookProof.RitzPerturbation.minmaxGap_nonneg

by leonardopedro · Sep 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

Lean 4 theorem BookProof.RitzPerturbation.minmaxGap_nonneg (module BookProof.RitzPerturbation), source chapter BookProof/ChapterRitzPerturbation.lean.

Preamble

-- Generated from ChapterSirkRitzPerturbation.lean — theorem BookProof.RitzPerturbation.minmaxGap_nonneg
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]

Formal statement

theorem BookProof.RitzPerturbation.minmaxGap_nonneg (T : F →L[ℂ] F) (hne1 : (minmaxSet T 1).Nonempty) :
    0 ≤ minmaxGap T := by sorry

Source

https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterRitzPerturbation.lean

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