{"id":"e-c81b83be35fe8f46","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-9957432edab6d129","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":"b09d60d7da9918db4cad7f958aacb8372bf91564ee5e81af2bba486c5428eb91","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":28192,"certificate_compressed_size":5055,"conclusion_name":"shift_x_plus_one of gamma_polynomial of Pascal-(1,9,1) array.","claims":[],"premises":[],"cited_by":[]}