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other22 context cover

Proved
Freiman.other22_context_cover

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

algebracontinued-fractionsformalization

Actual admissible equal-parity birth words belong to one of the six source suffix contexts, with right suffix31. Both common parities are allowed.

Preamble
import Definitions.Def_Freiman_other22Verification
import Mathlib.Tactic.FinCases
import Mathlib.Tactic.SplitIfs

open Freiman
Formal statement
theorem Freiman.other22_context_cover (Z B R S : LowerPair) (h : LowerOther22Geometry Z B R S) :
    ∃ k : Fin 6, lowerHistoryContextFits Z (other22Context k) := by
  sorry
Source
Report §7.3, Lemma 7.4 (lem:old23-other22-target), printed p.43; other22_target.tex and Appendix other22_certificates.tex; original 144-obligation exact certificate.

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