{"id":"e-82b3fcfa534d7ca0","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-21cdf036c9ed34ac","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":"a9e3a5df1aac7c9ae4461765f6f86e4d16ed70463949c9810ebb3f42a6241f06","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":28164,"certificate_compressed_size":5071,"conclusion_name":"shift_x_plus_one of basis_map_A013610 of Triangle read by rows: T(n,k) = binomial(n+1-k,k) (n >= 0, 0 <= k <= n).","claims":[],"premises":[],"cited_by":[]}