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Freiman late: late checks from endpoint comparison

Proved
Freiman.late_checks_from_endpoint_comparison

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

finite-certificatesfreimanhall-raylate

Finite-list transfer: use a validated active endpoint mode for each comparison, derive tail nonnegativity from the directed bounds, and apply the exact strict/weak comparison law. Membership in the eighteen-label family guarantees both queried additions are nonempty.

Preamble
import Definitions.Def_Freiman_lateGeometry
import Mathlib.Tactic

set_option maxRecDepth 8000
set_option maxHeartbeats 0

open Freiman
Formal statement
theorem Freiman.late_checks_from_endpoint_comparison (he : lateEndpointLaw) (hg : lateGreaterLaw) (hl : ∀ z : CertField, (certFieldLower z : ℝ) ≤ certFieldVal z) : lateChecksLaw := by
  sorry
Source
Freiman report, §15, printed source pages 140–144; active lower_140_144.tex and Appendix Complete finite certificates for printed pages 140–144 (late_certificates.tex); exact late_readable_certificates.json with both original cover_*_certificate.json trees.

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