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gap seed centre

Proved
Freiman.gap_seed_centre

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

freimangaphall-ray

Both marked seeds have central digit4, with exactly the stated left/right outward indexing.

Preamble
import Definitions.Def_Freiman_gapModel
Formal statement
namespace Freiman

theorem gap_seed_centre (a : ℤ → ℕ+) (hs : gapMatch a 0 gapSeedA ∨ gapMatch a 0 gapSeedB) : localValue a 0 = 4 + cfValue (gapLeftTail a) + cfValue (gapRightTail a) := by
  sorry

end Freiman
Source
Freiman Hall ray report, m3_maximum.tex and m3_minimum.tex; marked words

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