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Freiman.lowerEarlyTerminal_domain_classes

Proved
Freiman.lowerEarlyTerminal_domain_classes

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

hall-raynumber-theory

Actual admissible early states end on the left in one of the three catalog suffix classes.

Preamble
import Definitions.Def_Freiman_lowerEarlyTerminalGeometry

open Freiman
Formal statement
theorem Freiman.lowerEarlyTerminal_domain_classes (t : ℝ) (p : LowerPair) (hs : lowerState t p) (hd : lowerEarlyDomain p) :
    ∃ i : Fin 3, lowerEnds (lowerNormalize p).1 (lowerEarlyTerminalShortCatalog i).leftContext := by
  sorry
Source
Freiman's Hall ray: Proof report and corrected English text (8 September 2026), pp.120–132, §§ s15:early-residual and s15:terminal-extension; pp.133–139, Proposition l139chain and Appendix app:l139cert.

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