Prove2Me

Freiman.lowerHistory_catalog_H

Proved
Freiman.lowerHistory_catalog_H

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

hall-raynumber-theory

Exact finite grammar coverage for the H catalog; initial H is separate from the four generic birth catalogs.

Preamble
import Definitions.Def_Freiman_lowerHistoryVerification
import Mathlib.Tactic

open Freiman
Formal statement
theorem Freiman.lowerHistory_catalog_H :
    (lowerHistoryGeneratedKeys .initial).toFinset = (lowerHistoryCatalogKeys .initial).toFinset := by
  sorry
Source
Freiman's Hall ray: Proof report and corrected English text (8 September 2026); global_selection.tex, lem:global-suffix-targets; history_certificates.tex, app:all-suffix-histories; verification/families/target_selection/verify_suffix_targets_independent.py; certificates/target_selection/all_suffix_histories_printed.json; role: source independent history enumeration

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