{"id":"e-298470648cd5ddf1","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-44655160843a1362","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":"beca048daacd5c7e81ece9c6e59d6217403c5fb8ce04df305d09e3c13aab8fbc","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":11892,"certificate_compressed_size":3271,"conclusion_name":"shift_x_plus_one of basis_map_A013611 of Square array of binomial coefficients T(n,k) = binomial(n,k), n >= 0, k >= 0, read by upward antidiagonals.","claims":[],"premises":[],"cited_by":[]}