{"id":"e-aca1e71c58a7aa9f","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-5f6cf92c5fbb97a3","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":"d7e86bb548113a27c7b3d34d6432b424eae79e01349c501598571e30ac830cfa","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":28176,"certificate_compressed_size":5048,"conclusion_name":"shift_x_plus_one of gamma_polynomial of Pascal-(1,7,1) array.","claims":[],"premises":[],"cited_by":[]}