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Freiman word guards: source mixed

Proved
Freiman.lower_guard_source_mixed

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

freimanword-guards

Match the actual guarded mixed list to its explicit source row. Early and late routes contribute only their displayed candidate subsets; no numerical selection is inferred.

Preamble
import Definitions.Def_Freiman_lowerWordGuardData

open Freiman
Formal statement
theorem Freiman.lower_guard_source_mixed (p : LowerPair) (hp : lowerAdmissible p) (hpar : lowerMixed p)
    (l : LowerLabel) (hl : l ∈ lowerMixedList p) :
    ∃ c ∈ lowerGuardCases, lowerGuardFits c p ∧ l ∈ c.labels := 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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