Freiman repeated-three proof: width formula

Proved

Freiman.lowerJ_width_formula

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

certificatesfreimanlower-construction

Actual outward-word full width formula, reused throughout the report width proof.

Preamble

import Definitions.Def_Freiman_lowerJData
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Push
import Mathlib.Tactic.FinCases

open Freiman

Formal statement

theorem Freiman.lowerJ_width_formula : ∀ w : List ℕ+, lowerWidth w = (lowerBeta-lowerAlpha)/((((lowerCD w).1:ℝ)*lowerAlpha+(lowerCD w).2)*(((lowerCD w).1:ℝ)*lowerBeta+(lowerCD w).2)) := by
  sorry

Source

Freiman report j_family.tex and j_certificates.tex, equal-three-width and lower-j3-uniform; exact source width-criterion route.

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