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`BookProof.ChapterGaugeIncompleteFixing.exists_physical_extension` {S : Set X} (hS : IsComprehensiveGaugeFixing G S) (h : X → ℝ) (hrem : ∀ s ∈ S, ∀ t ∈ S, ∀ g : G, g • s = t → h s · Prove2Me