{"id":"e-0961180c91a1e61b","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-c44f7114310405ad","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":"6abfa9c4862386a45888dc62d01081f601e69f6887d6bd06795b241f1e0204fa","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":9178,"certificate_compressed_size":2637,"conclusion_name":"Triangle of coefficients in expansion of (3+5x)^n.","claims":[],"premises":[],"cited_by":[]}