trunk normal use valid
ProvedFreiman.trunk_normal_use_validalgebracontinued-fractionsformalization
Reuse the literal source polynomial and all its original coefficient bounds with the actual available premise strictness. Positive margin permits two weak premises; zero margin requires an actual strict premise.
Preamble
import Definitions.Def_Freiman_trunkGeometry import Mathlib.Tactic.FinCases import Mathlib.Tactic.Linarith open Freiman
Formal statement
theorem Freiman.trunk_normal_use_valid (C : TrunkCatalog) (w : TrunkWitness) (hw : trunkWitnessValid C w) (hz : w.diagonal = 0)
(l u : CertBound) (hu : trunkUseBounds C w l u) :
certWitnessValid ⟨l,u,w.rectangle,certBernsteinCoefficients (trunkPolynomial C w) w.rectangle,fun _ _ => w.margin/2⟩ := by
sorrySource
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.