{"id":"e-c00c60332ef216a6","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-2b6c5dd961f03a94","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":"de1ba82079a8308a01dea768de9158fc0a263982ee9b6c062ffb6958769e98ed","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":27875,"certificate_compressed_size":4923,"conclusion_name":"shift_x_plus_one of basis_map_A013609 of Triangle read by rows: T(n,k) = binomial(2n+1, 2k+1).","claims":[],"premises":[],"cited_by":[]}