{"id":"e-9061d9e71b9fb393","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-40465177841ad1ac","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":"71e55a1c26af948f13241106fd5aa13590126b16ef3107233d3a9ec6ddafc7bc","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":19899,"certificate_compressed_size":3991,"conclusion_name":"shift_x_plus_one of basis_map_A013609 of Square array of binomial coefficients T(n,k) = binomial(n,k), n >= 0, k >= 0, read by downward antidiagonals.","claims":[],"premises":[],"cited_by":[]}