{"id":"e-86f1ffb8c57acefc","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-ee9dc6ac4cfccf4a","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":"b5d7e38ff9d0f6ca339f9a0827c4038381a4f9839fb4ba43bf8f420345237b5d","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":19886,"certificate_compressed_size":3971,"conclusion_name":"shift_x_plus_one of basis_map_A013611 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":[]}