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gap centered membership

Proved
Freiman.gap_centered_membership

by tp · Sep 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

freimangaphall-ray

An attained global height satisfies both clauses of the existing symbolic Markov-spectrum definition.

Preamble
import Definitions.Def_Freiman_gapModel
Formal statement
namespace Freiman

theorem gap_centered_membership (a : ℤ → ℕ+) (t : ℝ) (hmax : ∀ i, localValue a i ≤ t) (h0 : localValue a 0 = t) : t ∈ symbolicMarkovSpectrum := by
  sorry

end Freiman
Source
Freiman Hall ray report, m3.tex; thm:m3:gap

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