`BookProof.ChapterGaugeShiftExample.shift_gauge_fixing_incomplete` {f : L2Z} (hf : f ≠ 0) {m : ℤ} (hm : m ≠ 0) : shiftOp m f ≠ f

Proved

BookProof.ChapterGaugeShiftExample.shift_gauge_fixing_incomplete

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGaugeShiftExample.

BookProof.ChapterGaugeShiftExample.shift_gauge_fixing_incomplete {f : L2Z} (hf : f ≠ 0) {m : ℤ} (hm : m ≠ 0) : shiftOp m f ≠ f

Formalization note: Lean 4 identifier BookProof.ChapterGaugeShiftExample.shift_gauge_fixing_incomplete.

Preamble

-- Generated from ChapterGaugeShiftExample.lean — theorem BookProof.ChapterGaugeShiftExample.shift_gauge_fixing_incomplete
import Mathlib
import Definitions.Def_ChapterGaugeShiftExample
import Definitions.Def_ChapterContinuityUnitaryInfinite
open BookProof.ChapterContinuityUnitaryInfinite
open BookProof.ChapterGaugeShiftExample


open scoped InnerProductSpace


open BookProof.ChapterContinuityUnitaryInfinite

Formal statement

theorem BookProof.ChapterGaugeShiftExample.shift_gauge_fixing_incomplete {f : L2Z} (hf : f ≠ 0) {m : ℤ} (hm : m ≠ 0) :
    shiftOp m f ≠ f := by sorry

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