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Freiman word guards: admissible extension

Proved
Freiman.lower_guard_admissible_extension

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

freimanword-guards

Compose the existing core extension with the new digits at most three, preserving the checked central word. Normalization uses the already symmetric core list.

Preamble
import Definitions.Def_Freiman_lowerWordGuardData

open Freiman
Formal statement
theorem Freiman.lower_guard_admissible_extension (p : LowerPair) (hp : lowerAdmissible p) (l : LowerLabel) (he : lowerGuardExtensionData p l) : lowerAdmissible (lowerChild p l) := by
  sorry
Source
Freiman report, 'The complete boundary table for selected words', Appendix app:selection-words, report/source/staging/parts/word_certificates.tex; global_selection.tex admissibility argument; certificates/word_selection/selection_words_printed.json, word_guards.json and source_bindings.json; verification/families/word_selection/verify_word_guards.py.

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