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{g₁ g₂ : ℝ} (h0 : 0 ≤ g₁) (h : g₁ < g₂) : strongCoupling g₁ < strongCoupling g₂

Proved
BookProof.SirkGapTable.strongCoupling_lt

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

sirkspectral-theorytimepiece

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

Preamble
-- Generated from ChapterSirkGapTable.lean — theorem BookProof.SirkGapTable.strongCoupling_lt
import Mathlib
import Definitions.Def_ChapterSirkGapTable
open BookProof.SirkGapTable









noncomputable section


open BookProof.SirkCertifiedGap



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










variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℂ E]
Formal statement
theorem BookProof.SirkGapTable.strongCoupling_lt {g₁ g₂ : ℝ} (h0 : 0 ≤ g₁) (h : g₁ < g₂) :
    strongCoupling g₁ < strongCoupling g₂ := by sorry
Source
https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterSirkGapTable.lean

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