{"id":"e-9288cdb19cf0727b","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-67db2effba549c79","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":"9e96ab175d2a3caa9fd8bca780a38d87c3c9302f03c55a52f7620e29caf39b2f","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":7431,"certificate_compressed_size":2326,"conclusion_name":"basis_map_A007318 of Triangle T(n,k), 0 <= k <= n, read by rows, given by [1,0,-1,0,0,0,0,0,0,...] DELTA [3,-2,-1,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938.","claims":[],"premises":[],"cited_by":[]}