{"id":"e-cd46c8ba2133c8f0","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-47b361d1e904fbeb","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":"bdaaa109a1e86c6d34aaa5c5aeeb45d3baa7f74e56b79377ef96f21abb1e9067","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":18390,"certificate_compressed_size":3770,"conclusion_name":"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":[]}