{"id":"e-604f3f3fba452d16","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-3cc7875cf81a5a84","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":"65d70108ca34508257e197ec5aa6c64fa379a8083a0ac63b687ca128e4faa715","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":4776,"certificate_compressed_size":1475,"conclusion_name":"basis-map coefficients of Square array of binomial coefficients T(n,k) = binomial(n,k), n >= 0, k >= 0, read by downward antidiagonals. shifted by x -> -x + 0","claims":[],"premises":[],"cited_by":[]}