{"id":"e-7f45bb28020a4c62","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-71965e79e47a4526","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":"0ff45dd2f7b48aabad2e8d902ea8acb366a6ff8fb94b0b50f89ff5e1e725e833","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+2*x)^n.","claims":[],"premises":[],"cited_by":[]}