{"id":"e-ab89b07ec2e2ca00","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-7b1a2203ac9e3633","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":"f2d2cb670c5da822db5bb91a8882feece67958c3b355b5f2622f1789e5593204","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":30891,"certificate_compressed_size":5902,"conclusion_name":"shift_x_plus_one of basis_map_A007318 of Pascal-(1,3,1) array.","claims":[],"premises":[],"cited_by":[]}