{"id":"e-e39da4d07a6a0855","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-341e950870cf37d4","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":"0818f277bbe6dc8f927f4014235e57d3fd3002d307296f7c70c212ea645f87bf","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":28195,"certificate_compressed_size":5049,"conclusion_name":"shift_x_plus_one of gamma_polynomial of Pascal-(1,8,1) array.","claims":[],"premises":[],"cited_by":[]}