`BookProof.ChapterCoherentOverlapComplex.norm_coherentOverlapC_le_one` (q k : EuclideanSpace ℂ (Fin n)) : ‖coherentOverlapC q k‖ ≤ 1

Proved

BookProof.ChapterCoherentOverlapComplex.norm_coherentOverlapC_le_one

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterCoherentOverlapComplex.

BookProof.ChapterCoherentOverlapComplex.norm_coherentOverlapC_le_one (q k : EuclideanSpace ℂ (Fin n)) : ‖coherentOverlapC q k‖ ≤ 1

Formalization note: Lean 4 identifier BookProof.ChapterCoherentOverlapComplex.norm_coherentOverlapC_le_one.

Preamble

-- Generated from ChapterCoherentOverlapComplex.lean — theorem BookProof.ChapterCoherentOverlapComplex.norm_coherentOverlapC_le_one
import Mathlib
import Definitions.Def_ChapterCoherentOverlapComplex
open BookProof.ChapterCoherentOverlapComplex


open scoped BigOperators

noncomputable section


variable {n m : ℕ}

Formal statement

theorem BookProof.ChapterCoherentOverlapComplex.norm_coherentOverlapC_le_one (q k : EuclideanSpace ℂ (Fin n)) :
    ‖coherentOverlapC q k‖ ≤ 1 := by sorry

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