{"id":"e-79dfc179bcde4672","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-3c441f1bcfbf2753","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":"d5eef0f76cd31d2213a932984d0e8c550bb6f7d1b449b8de3ad66c71fbd10705","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":16530,"certificate_compressed_size":4356,"conclusion_name":"basis_map_A007318 of Pascal-(1,6,1) array.","claims":[],"premises":[],"cited_by":[]}