Prove2Me

`BookProof.ChapterGaugeUnconstrainedSpectrum.shiftPerm_movesEveryPoint` (m : Multiplicative ℤ) (hm : m ≠ 1) (k : ℤ) : shiftPerm m k ≠ k

Proved
BookProof.ChapterGaugeUnconstrainedSpectrum.shiftPerm_movesEveryPoint

by leonardopedro · Oct 8, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGaugeUnconstrainedSpectrum.

BookProof.ChapterGaugeUnconstrainedSpectrum.shiftPerm_movesEveryPoint (m : Multiplicative ℤ) (hm : m ≠ 1) (k : ℤ) : shiftPerm m k ≠ k

Formalization note: Lean 4 identifier BookProof.ChapterGaugeUnconstrainedSpectrum.shiftPerm_movesEveryPoint.

Preamble
-- Generated from ChapterGaugeUnconstrainedSpectrum.lean — theorem BookProof.ChapterGaugeUnconstrainedSpectrum.shiftPerm_movesEveryPoint
import Mathlib
import Definitions.Def_ChapterGaugeUnconstrainedSpectrum
open BookProof.ChapterGaugeUnconstrainedSpectrum



variable {X : Type*}

variable {G : Type*} [Group G]
Formal statement
theorem BookProof.ChapterGaugeUnconstrainedSpectrum.shiftPerm_movesEveryPoint (m : Multiplicative ℤ) (hm : m ≠ 1) (k : ℤ) :
    shiftPerm m k ≠ k := by sorry

View graph