{"id":"e-ad0920940e11c021","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-cca535f6115f5fc0","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":"e4f283481a4aba516ad1aa3dbd9e454718cb9ae84f6ab916a17ed2be8a7c5a36","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":19609,"certificate_compressed_size":4975,"conclusion_name":"basis_map_A007318 of Triangle T(n,k), 0 <= k <= n, read by rows defined by: T(n,k) = (binomial(2*n,2*k) + binomial(2*n+1,2*k))/2.","claims":[],"premises":[],"cited_by":[]}