{"id":"e-8d5faac942c17aea","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-7967b266138e041c","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":"2d4b9ebed6a3efd473d4898e88487ac53eeb5ac75beeea9627b86b7128c9987b","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":19996,"certificate_compressed_size":3785,"conclusion_name":"shift_x_plus_one of basis_map_A007318 of Triangle read by rows: T(n,k) number of tilings of a 2n X 3 grid by dominoes, 2k of which are in a vertical position (0<=k<=n).","claims":[],"premises":[],"cited_by":[]}