{"id":"e-a4e03b989ac4b509","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-9e788b258df52f7d","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":"61bb92750d8a862ab1087baf2e5dec09b15fa0e723e85f051343025d4abfe5b6","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":27952,"certificate_compressed_size":4933,"conclusion_name":"shift_x_plus_one of T(n,k) = 2^k*binomial(n,2k+1), where 0 <= k <= floor((n-1)/2), n >= 1.","claims":[],"premises":[],"cited_by":[]}