Prove2Me

`BookProof.ChapterGaugeComprehensiveFixing.exists_comprehensive_complete_gaugeFixing` : ∃ S : Set X, IsComprehensiveGaugeFixing G S ∧ IsCompleteGaugeFixing' G S

Proved
BookProof.ChapterGaugeComprehensiveFixing.exists_comprehensive_complete_gaugeFixing

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGaugeComprehensiveFixing.

BookProof.ChapterGaugeComprehensiveFixing.exists_comprehensive_complete_gaugeFixing : ∃ S : Set X, IsComprehensiveGaugeFixing G S ∧ IsCompleteGaugeFixing' G S

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

Preamble
-- Generated from ChapterGaugeComprehensiveFixing.lean — theorem BookProof.ChapterGaugeComprehensiveFixing.exists_comprehensive_complete_gaugeFixing
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.exists_comprehensive_complete_gaugeFixing :
    ∃ S : Set X, IsComprehensiveGaugeFixing G S ∧ IsCompleteGaugeFixing' G S := by sorry

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