`BookProof.ChapterSphericalPlancherel.oddSchwartz_odd` (x : ℝ) : oddSchwartz (-x) = -oddSchwartz x

Proved

BookProof.ChapterSphericalPlancherel.oddSchwartz_odd

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSphericalPlancherel.

BookProof.ChapterSphericalPlancherel.oddSchwartz_odd (x : ℝ) : oddSchwartz (-x) = -oddSchwartz x

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

Preamble

-- Generated from ChapterSphericalPlancherel.lean — theorem BookProof.ChapterSphericalPlancherel.oddSchwartz_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.oddSchwartz_odd (x : ℝ) : oddSchwartz (-x) = -oddSchwartz x := by sorry

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