{"id":"e-2f88f7aaf3297889","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-d8a20bc01f7e3b27","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":"dd686cb5d924358717324d980424921eb66d10f71ab13b27e06391121120a2d9","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":10653,"certificate_compressed_size":3022,"conclusion_name":"shift_x_plus_one of gamma_polynomial of Triangle read by rows: T(n, k) = binomial(2n, 2k).","claims":[],"premises":[],"cited_by":[]}