Freiman.lowerEarlyTerminal_endpoint_order_equal
ProvedFreiman.lowerEarlyTerminal_endpoint_order_equalhall-raynumber-theory
The two natural/shortened endpoints are ordered in the equal-parity construction.
Preamble
import Definitions.Def_Freiman_lowerEarlyTerminalGeometry open Freiman
Formal statement
theorem Freiman.lowerEarlyTerminal_endpoint_order_equal (p : LowerPair) (hp : p.1.length % 2 = p.2.length % 2) : lowerEndpoint p false ≤ lowerEndpoint p true := 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. Definitions lowerEqualWords; report endpoint construction before the scalar appendices.