{"id":"e-24f0dfd02baa8b41","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-c551333e3802137a","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":"bba46f2c506d0251962ee846d87ab424dd1f6aece4a50663e99e1fd18e4e8e22","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":19862,"certificate_compressed_size":3982,"conclusion_name":"shift_x_plus_one of basis_map_A013610 of Triangle read by rows, T(n,k) = T(n-1,k) + T(n-2,k) + T(n-1,k-1) + T(n-2,k-1) and T(0,0) = 1.","claims":[],"premises":[],"cited_by":[]}