{"id":"e-3e7135463492203d","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-d7283fa0e9ac22b4","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":"9c412e629a2ced633ccd8816391ae844c4feff7f5e20cdc93e6403fa3ceceba8","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":27917,"certificate_compressed_size":4983,"conclusion_name":"shift_x_plus_one of Table: T(n,k) = n!*binomial(n+1,2*k).","claims":[],"premises":[],"cited_by":[]}