Prove2Me

`BookProof.ChapterGaugeComprehensiveFixing.shift_movesEveryPointOfSpectrum` : MovesEveryPointOfSpectrum (Multiplicative ℤ) ℝ

Proved
BookProof.ChapterGaugeComprehensiveFixing.shift_movesEveryPointOfSpectrum

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGaugeComprehensiveFixing.

BookProof.ChapterGaugeComprehensiveFixing.shift_movesEveryPointOfSpectrum : MovesEveryPointOfSpectrum (Multiplicative ℤ) ℝ

Formalization note: Lean 4 identifier BookProof.ChapterGaugeComprehensiveFixing.shift_movesEveryPointOfSpectrum.

Preamble
-- Generated from ChapterGaugeComprehensiveFixing.lean — theorem BookProof.ChapterGaugeComprehensiveFixing.shift_movesEveryPointOfSpectrum
import Mathlib
import Definitions.Def_ChapterGaugeComprehensiveFixing
import Definitions.Def_ChapterGaugeIncompleteFixing
open BookProof.ChapterGaugeIncompleteFixing
open BookProof.ChapterGaugeComprehensiveFixing



open BookProof.ChapterGaugeIncompleteFixing

variable {X : Type*} (G : Type*) [Group G] [MulAction G X]
variable {X : Type*} {G : Type*} [Group G] [MulAction G X] {S : Set X}
variable {X : Type*} [TopologicalSpace X] {G : Type*} [Group G] [MulAction G X]
variable (X : Type*) (G : Type*) [Group G] [MulAction G X]
Formal statement
theorem BookProof.ChapterGaugeComprehensiveFixing.shift_movesEveryPointOfSpectrum :
    MovesEveryPointOfSpectrum (Multiplicative ℤ) ℝ := by sorry

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