`BookProof.ChapterFreeFieldBornSignFiber.signFlip_one` (x : EuclideanSpace ℝ (Fin n)) : signFlip (fun _ => 1) x = x

Proved

BookProof.ChapterFreeFieldBornSignFiber.signFlip_one

by leonardopedro · Oct 5, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterFreeFieldBornSignFiber.

BookProof.ChapterFreeFieldBornSignFiber.signFlip_one (x : EuclideanSpace ℝ (Fin n)) : signFlip (fun _ => 1) x = x

Formalization note: Lean 4 identifier BookProof.ChapterFreeFieldBornSignFiber.signFlip_one.

Preamble

-- Generated from ChapterFreeFieldBornSignFiber.lean — theorem BookProof.ChapterFreeFieldBornSignFiber.signFlip_one
import Definitions.Def_ChapterFreeFieldBorn
import Definitions.Def_ChapterFreeFieldBornSignGauge
import Mathlib
import Definitions.Def_ChapterFreeFieldBornSignFiber
open BookProof.ChapterFreeFieldBornSignFiber

variable {n : ℕ}


open MeasureTheory
open BookProof.ChapterFreeFieldBorn BookProof.ChapterFreeFieldBornSignGauge

Formal statement

theorem BookProof.ChapterFreeFieldBornSignFiber.signFlip_one (x : EuclideanSpace ℝ (Fin n)) :
    signFlip (fun _ => 1) x = x := by sorry

View graph