{"id":"e-8942b27fb46a4f4a","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-5ed189576f4a96f4","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":"1b9adf667a9b33cccf273222467060dd9cc34a6692bd7c5dc67b3a2de813dc6e","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":9902,"certificate_compressed_size":2714,"conclusion_name":"shift_x_plus_one of veronese_section_2_1 of Even-numbered rows of Pascal's triangle.","claims":[],"premises":[],"cited_by":[]}