Prove2Me

`BookProof.ChapterGaugeComprehensiveFixing.orbitRepresentatives_isComprehensiveGaugeFixing` : IsComprehensiveGaugeFixing G (orbitRepresentatives (X := X) G)

Proved
BookProof.ChapterGaugeComprehensiveFixing.orbitRepresentatives_isComprehensiveGaugeFixing

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGaugeComprehensiveFixing.

BookProof.ChapterGaugeComprehensiveFixing.orbitRepresentatives_isComprehensiveGaugeFixing : IsComprehensiveGaugeFixing G (orbitRepresentatives (X := X) G)

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

Preamble
-- Generated from ChapterGaugeComprehensiveFixing.lean — theorem BookProof.ChapterGaugeComprehensiveFixing.orbitRepresentatives_isComprehensiveGaugeFixing
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]
Formal statement
theorem BookProof.ChapterGaugeComprehensiveFixing.orbitRepresentatives_isComprehensiveGaugeFixing :
    IsComprehensiveGaugeFixing G (orbitRepresentatives (X := X) G) := by sorry

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