{"id":"e-579b5cde2da46ab8","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-73875e607efb6f6a","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":"2e95f7ae87ab915dffd77457e5bf44eeaf55dc41fef1d67550afc6ce1ec50b6b","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":7656,"certificate_compressed_size":2435,"conclusion_name":"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":[]}