{"id":"e-d6b6a82f53e784da","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-6a5af5e1168bb679","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":"adf5e0c0388d32f1f6077114d62328213a4ccd77b0ec4dd90b6a14fc58658ee5","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+3*x)^n.","claims":[],"premises":[],"cited_by":[]}