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`BookProof.ChapterGaugeUnconstrainedSpectrum.shift_isPhysicalFunction_const` {d : ℤ → ℂ} (hd : IsPhysicalFunction shiftPerm d) (k l : ℤ) : d k = d l

Proved
BookProof.ChapterGaugeUnconstrainedSpectrum.shift_isPhysicalFunction_const

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGaugeUnconstrainedSpectrum.

BookProof.ChapterGaugeUnconstrainedSpectrum.shift_isPhysicalFunction_const {d : ℤ → ℂ} (hd : IsPhysicalFunction shiftPerm d) (k l : ℤ) : d k = d l

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

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



variable {X : Type*}

variable {G : Type*} [Group G]
Formal statement
theorem BookProof.ChapterGaugeUnconstrainedSpectrum.shift_isPhysicalFunction_const {d : ℤ → ℂ} (hd : IsPhysicalFunction shiftPerm d)
    (k l : ℤ) : d k = d l := by sorry

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