{"id":"e-bb97ff5ef4c0e04f","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-d04147815db6454e","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":"918bbe76d9e1eb23d4475ae9390d4208be20e658e772b0f6266d3c176502b1d6","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":31137,"certificate_compressed_size":5918,"conclusion_name":"shift_x_plus_one of basis_map_A013609 of Pascal-(1,3,1) array.","claims":[],"premises":[],"cited_by":[]}