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`BookProof.ChapterSphericalPlancherel.sineTransform_odd` (G : ℝ → ℂ) (w : ℝ) : sineTransform G (-w) = -sineTransform G w

Proved
BookProof.ChapterSphericalPlancherel.sineTransform_odd

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSphericalPlancherel.

BookProof.ChapterSphericalPlancherel.sineTransform_odd (G : ℝ → ℂ) (w : ℝ) : sineTransform G (-w) = -sineTransform G w

Formalization note: Lean 4 identifier BookProof.ChapterSphericalPlancherel.sineTransform_odd.

Preamble
-- Generated from ChapterSphericalPlancherel.lean — theorem BookProof.ChapterSphericalPlancherel.sineTransform_odd
import Definitions.Def_ChapterSphericalBessel
import Mathlib
import Definitions.Def_ChapterSphericalPlancherel
open BookProof.ChapterSphericalPlancherel



open MeasureTheory Set Real SchwartzMap
open scoped FourierTransform ContDiff
open BookProof.ChapterSphericalBessel
Formal statement
theorem BookProof.ChapterSphericalPlancherel.sineTransform_odd (G : ℝ → ℂ) (w : ℝ) :
    sineTransform G (-w) = -sineTransform G w := by sorry

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