trunk boundary q control

Proved

Freiman.trunk_boundary_q_control

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

algebracontinued-fractionsformalization

The two actual weak H11 lower and H0 upper premises, with their positive source denominators, give the nonpositive cross polynomial.

Preamble

import Definitions.Def_Freiman_trunkGeometry
import Mathlib.Tactic.FinCases
import Mathlib.Tactic.Linarith

open Freiman

Formal statement

theorem Freiman.trunk_boundary_q_control (hc : trunkBoundaryCertificateValid) (R : CertRectangle) (bs : List CertBound)
    (hb : trunkBoundaryBound R bs) (r s q : ℝ) (hm : certRectangleMem R r s) (h : trunkHolds bs r s q) :
    certPolyEval trunkBoundaryPolynomial r s ≤ 0 := by
  sorry

Source

Report Proposition4.1 s15:trunk, printed report p28; original source pp120–126. Complete sixteen-state trunk certificate,58230 records,90 case plans, with three explicitly unfilled interfaces.

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