{"id":"e-ec2b4f4a19835fe0","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-b13531ad79e7c629","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":"02bb39662017b4df187f7c8d394ea81cbe854b827a1dae83e0095ab9ad8e6855","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":16050,"certificate_compressed_size":3622,"conclusion_name":"Square the entries of Pascal's triangle.","claims":[],"premises":[],"cited_by":[]}