{"id":"e-6c52688ac73883a7","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-2e0409c0014ec240","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":"8a8cf78c7ff5900a65db9a1d5145ceefdb345602174b9b5df1637e550ea01e2f","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":9178,"certificate_compressed_size":2631,"conclusion_name":"Triangle of coefficients in expansion of (1+4x)^n.","claims":[],"premises":[],"cited_by":[]}