{"id":"e-55e05e8a65d57e46","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-913437c43d2bcfce","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":"5af21ff3bda438c69d20af0a9dc375bf8fe77de58e80a3a94240309f849436ac","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":29190,"certificate_compressed_size":5210,"conclusion_name":"shift_x_plus_one of basis_map_A007318 of Triangle read by rows: T(n,k) is the number of k-matchings of the corona K'(n) of the complete graph K(n) and the complete graph K(1); in other words, K'(n) is the graph constructed from K(n) by adding for each vertex v a new vertex v' and the edge vv'.","claims":[],"premises":[],"cited_by":[]}