{"id":"e-17e03e7ad1a826ee","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-e086e6a4622a1cba","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":"05d8850830d97cb56dcd419e080db32cb6c6dc0425cfff768e3f8414a55e95d1","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":19933,"certificate_compressed_size":4020,"conclusion_name":"shift_x_plus_one of basis_map_A013610 of Square array of binomial coefficients T(n,k) = binomial(n,k), n >= 0, k >= 0, read by downward antidiagonals.","claims":[],"premises":[],"cited_by":[]}