{"id":"e-a80a2aa54b0af22d","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-9fa98aec39d32ffa","premise_count":0,"theorem":"all-index identity Q_n = P_n certified by exact Ore-algebra division and identifying rows (polytool preserver-image certificate of the identity map)","lean_route":null,"lean_declarations":[],"certificate_hash":"14e3f6bc87a4ae42255dce3bc80a4bd7dbcb406bbd91928086e710dbff9198af","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":7837,"certificate_compressed_size":2282,"conclusion_name":"Triangle, read by rows, of pairwise sums of trinomial coefficients (A027907).","claims":[],"premises":[],"cited_by":[]}