{"id":"e-9288ac896b9000e4","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-0d55e0bb3c384646","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":"8be6c1649d86be581a6237945cf2a81f00fd046f047a037eaefcc2539e34df96","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":6730,"certificate_compressed_size":2047,"conclusion_name":"Triangle read by rows, formed from antidiagonals of the antidiagonals (A011973) of Pascal's triangle (A007318).","claims":[],"premises":[],"cited_by":[]}