`BookProof.ChapterGaugeShiftExample.shiftOp_ne_velocityOp` {m : ℤ} (hm : m ≠ 0) (v : LinfZ) : shiftOp m ≠ velocityOp v

Proved

BookProof.ChapterGaugeShiftExample.shiftOp_ne_velocityOp

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGaugeShiftExample.

BookProof.ChapterGaugeShiftExample.shiftOp_ne_velocityOp {m : ℤ} (hm : m ≠ 0) (v : LinfZ) : shiftOp m ≠ velocityOp v

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

Preamble

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


open scoped InnerProductSpace


open BookProof.ChapterContinuityUnitaryInfinite

Formal statement

theorem BookProof.ChapterGaugeShiftExample.shiftOp_ne_velocityOp {m : ℤ} (hm : m ≠ 0) (v : LinfZ) :
    shiftOp m ≠ velocityOp v := by sorry

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