Prove2Me

`BookProof.ChapterGaugeComprehensiveFixing.unitCell_indicator_not_isPhysicalObservable` : ¬ IsPhysicalObservable (Multiplicative ℤ) (unitCell.indicator (fun _ => (1 : ℝ)))

Proved
BookProof.ChapterGaugeComprehensiveFixing.unitCell_indicator_not_isPhysicalObservable

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGaugeComprehensiveFixing.

BookProof.ChapterGaugeComprehensiveFixing.unitCell_indicator_not_isPhysicalObservable : ¬ IsPhysicalObservable (Multiplicative ℤ) (unitCell.indicator (fun _ => (1 : ℝ)))

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

Preamble
-- Generated from ChapterGaugeComprehensiveFixing.lean — theorem BookProof.ChapterGaugeComprehensiveFixing.unitCell_indicator_not_isPhysicalObservable
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.unitCell_indicator_not_isPhysicalObservable :
    ¬ IsPhysicalObservable (Multiplicative ℤ)
        (unitCell.indicator (fun _ => (1 : ℝ))) := by sorry

View graph