{"id":"e-ab734cd6d3e371af","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-5e277f929045261e","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":"40dba9a990a04c71e36ece33fef572b6165674c205ca14d76f07ed1e8df9f675","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":8580,"certificate_compressed_size":2654,"conclusion_name":"shift_x_plus_one of basis_map_A007318 of Triangle of Sulanke numbers: T(n,k) = T(n,k-1) + a(n-1,k) for n+k even and a(n,k) = a(n,k-1) + 2*a(n-1,k) for n+k odd.","claims":[],"premises":[],"cited_by":[]}