{"id":"e-fc5eed90805fc122","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-bfcec383f3588ef6","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":"1106dc973ead529fe1dfb21770b2dc6c66158f86e2ed711d89d04ffa4791ef47","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":28096,"certificate_compressed_size":5013,"conclusion_name":"shift_x_plus_one of Triangle T(n,k), 0 <= k <= n, read by rows given by [0, 1, 0, 0, 0, 0, ...] DELTA [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, ...] where DELTA is the operator defined in A084938.","claims":[],"premises":[],"cited_by":[]}