{"id":"e-9cb3ec373d16ebdc","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-208323846157519b","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":"a1bdbdffd109aca361d7815e7a183a86cce85b21206818f3d05b7b622768abda","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":27940,"certificate_compressed_size":4963,"conclusion_name":"shift_x_plus_one of basis_map_A013611 of Triangle read by rows: T(n,k) = binomial(2n+1, 2k+1).","claims":[],"premises":[],"cited_by":[]}