{"id":"e-fd72fe527dfd313f","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-c1716beb5dbd6d37","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":"aa29a0b4861a349203e28d24b333b1368eaf28b5c3d7ed74542cae5c8597b010","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":13971,"certificate_compressed_size":3356,"conclusion_name":"basis_map_A007318 of Triangle read by rows: T(n, k) = binomial(2n, 2k).","claims":[],"premises":[],"cited_by":[]}