Freiman repeated-three proof: contact one

Proved

Freiman.lowerJ_contact_one

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

certificatesfreimanlower-construction

The k=1 symmetric-matrix contact factor reduces exactly to the report H1.

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_contact_one (r s : ℝ) : lowerJHK 1 r s = lowerJH1 r s := by
  sorry

Source

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