{"id":"e-55091369e340a36e","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-ea69de4dd6061116","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":"8389a6d249336fd871566469e54f377f6bb4ebcf1f46ddd559b28f12e2b797b1","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":8193,"certificate_compressed_size":2376,"conclusion_name":"shift_x_plus_one of A triangle of numbers related to triangle A030528; array a(n,m), read by rows (1 <= m <= n).","claims":[],"premises":[],"cited_by":[]}