{"id":"e-ff5759bcc2b3a8b7","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-c63944481deaae45","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":"4a39387125fcf826b4b01174c9ec79d2cb8d25bb3e1cd166742aa6e01ab85f46","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":9644,"certificate_compressed_size":2595,"conclusion_name":"basis_map_A007318 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":[]}