trunk parameter state

Open

Freiman.trunk_parameter_state

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

algebracontinued-fractionsformalization

Admissible equal-parity parent suffixes choose one of1,2,3,31 on each side, with31 overriding1; the actual denominator ratios lie in that source rectangle.

Preamble

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

open Freiman

Formal statement

theorem Freiman.trunk_parameter_state (t : ℝ) (p : LowerPair) (hs : lowerState t p) (he : ¬ lowerMixed p) :
    ∃ k : Fin 16, lowerHistoryContextFits (lowerNormalize p) (trunkCatalog.states k).context ∧
    certRectangleMem (trunkCatalog.states k).rectangle (lowerRatio (lowerNormalize p).1) (lowerRatio (lowerNormalize p).2) := 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.

View graph