{"id":"e-bcff8b0d5152db5b","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-8f771bf2253bfc98","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":"91e50d79e30b46c9ecfaea8770b901780441e0deef0a6705a87e4a793c582b1e","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":11812,"certificate_compressed_size":3252,"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 upward antidiagonals.","claims":[],"premises":[],"cited_by":[]}