trunk state from tree

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Freiman.trunk_state_from_tree

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

algebracontinued-fractionsformalization

For an actual source plan and parent mode, complete record coverage excludes every failed nonautomatic endpoint comparison; componentwise branches need no polynomial record.

Preamble

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

open Freiman

Formal statement

theorem Freiman.trunk_state_from_tree (C : TrunkCatalog) (k : Fin 16)
    (hb : (∀ g ∈ (C.states k).groups, trunkGroupValid C k g) ∧ trunkCoverage C k)
    (ht : TrunkTreeSound C) :
    trunkStateSound C k := 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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