(c : CouplingCertificate) : c.lo ≤ c.hi

Proved

BookProof.SirkGapTable.CouplingCertificate.lo_le_hi

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

sirkspectral-theorytimepiece

Lean 4 theorem BookProof.SirkGapTable.CouplingCertificate.lo_le_hi (module BookProof.SirkGapTable), source chapter BookProof/ChapterSirkGapTable.lean.

Preamble

-- Generated from ChapterSirkGapTable.lean — theorem BookProof.SirkGapTable.CouplingCertificate.lo_le_hi
import Mathlib
import Definitions.Def_ChapterSirkGapTable
open BookProof.SirkGapTable
open BookProof.SirkGapTable.CouplingCertificate









noncomputable section


open BookProof.SirkCertifiedGap



variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℂ E]

Formal statement

theorem BookProof.SirkGapTable.CouplingCertificate.lo_le_hi (c : CouplingCertificate) : c.lo ≤ c.hi := by sorry

Source

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

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