`BookProof.ChapterShannonSampling.sinc_neg` (u : ℝ) : sinc (-u) = sinc u

Proved

BookProof.ChapterShannonSampling.sinc_neg

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterShannonSampling.

BookProof.ChapterShannonSampling.sinc_neg (u : ℝ) : sinc (-u) = sinc u

Formalization note: Lean 4 identifier BookProof.ChapterShannonSampling.sinc_neg.

Preamble

-- Generated from ChapterShannonSampling.lean — theorem BookProof.ChapterShannonSampling.sinc_neg
import Mathlib
import Definitions.Def_ChapterShannonSampling
open BookProof.ChapterShannonSampling



open MeasureTheory Complex AddCircle intervalIntegral Set
open scoped Real ComplexConjugate

Formal statement

theorem BookProof.ChapterShannonSampling.sinc_neg (u : ℝ) : sinc (-u) = sinc u := by sorry

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