{"id":"e-a08c2f082979b173","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-d0986a7acf60271a","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":"c925b87248ebe177ab73b6a5a25106362645623b87a26eba7069d74e9ca1000e","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":21606,"certificate_compressed_size":3857,"conclusion_name":"shift_x_plus_one of Triangle T(n,k), read by rows given by [1,0,1,0,0,0,0,0,0,...] DELTA [0,1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938.","claims":[],"premises":[],"cited_by":[]}