trunk nonempty from specs

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Freiman.trunk_nonempty_from_specs

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

algebracontinued-fractionsformalization

Each listed child nonemptiness comparison supplies the closed interval endpoint order; both common parities give the same physical nonempty cover.

Preamble

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

open Freiman

Formal statement

theorem Freiman.trunk_nonempty_from_specs (p : LowerPair) (k : Fin 16) (pi par : ℕ) (hm : TrunkMode p k pi par)
    (hs : ∀ sp ∈ trunkSpecs (trunkPlanAt (trunkCatalog.states k) pi), trunkSpecHolds p sp) :
    ∀ l ∈ (trunkPlanAt (trunkCatalog.states k) pi).labels, (lowerCover (lowerChild p l)).Nonempty := 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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