`BookProof.ChapterFreeFieldBornSignHom.flipVec_injective` : Function.Injective (flipVec : (Fin n → Bool) → (Fin n → ℝ))

Proved

BookProof.ChapterFreeFieldBornSignHom.flipVec_injective

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterFreeFieldBornSignHom.

BookProof.ChapterFreeFieldBornSignHom.flipVec_injective : Function.Injective (flipVec : (Fin n → Bool) → (Fin n → ℝ))

Formalization note: Lean 4 identifier BookProof.ChapterFreeFieldBornSignHom.flipVec_injective.

Preamble

-- Generated from ChapterFreeFieldBornSignHom.lean — theorem BookProof.ChapterFreeFieldBornSignHom.flipVec_injective
import Definitions.Def_ChapterFreeFieldBorn
import Definitions.Def_ChapterFreeFieldBornSignGauge
import Definitions.Def_ChapterFreeFieldBornSignAction
import Mathlib
import Definitions.Def_ChapterFreeFieldBornSignHom
open BookProof.ChapterFreeFieldBornSignHom

variable {n : ℕ}


open MeasureTheory
open BookProof.ChapterFreeFieldBorn
open BookProof.ChapterFreeFieldBornSignGauge
open BookProof.ChapterFreeFieldBornSignAction

Formal statement

theorem BookProof.ChapterFreeFieldBornSignHom.flipVec_injective : Function.Injective (flipVec : (Fin n → Bool) → (Fin n → ℝ)) := by sorry

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