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{T : E →ₗ[ℂ] E} (P : E →ₗ[ℂ] E) (s : ℝ) (hT : T.IsSymmetric) : BddBelow (sectorRayleighSet T P s)

Proved
BookProof.SirkCertifiedGap.sectorRayleighSet_bddBelow

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

sirkspectral-theorytimepiece

Lean 4 theorem BookProof.SirkCertifiedGap.sectorRayleighSet_bddBelow (module BookProof.SirkCertifiedGap), source chapter BookProof/ChapterSirkCertifiedGap.lean.

Preamble
-- Generated from ChapterSirkCertifiedGap.lean — theorem BookProof.SirkCertifiedGap.sectorRayleighSet_bddBelow
import Mathlib
import Definitions.Def_ChapterSirkCertifiedGap
open BookProof.SirkCertifiedGap










noncomputable section


open scoped InnerProductSpace
open Finset Filter Topology
open BookProof.SirkFinitePrecision

variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℂ E] [FiniteDimensional ℂ E]
Formal statement
theorem BookProof.SirkCertifiedGap.sectorRayleighSet_bddBelow {T : E →ₗ[ℂ] E} (P : E →ₗ[ℂ] E) (s : ℝ)
    (hT : T.IsSymmetric) : BddBelow (sectorRayleighSet T P s) := by sorry
Source
https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterSirkCertifiedGap.lean

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