{"id":"e-2d1ac866995adfa8","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-fa2ea18f13501719","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":"aa98b177c806248809d18c14b2efd927bad998974ca35d61c5778987c56e9399","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":11142,"certificate_compressed_size":3114,"conclusion_name":"shift_x_plus_one of veronese_section_2_0 of Triangle read by rows: T(n,k) = binomial(n+4,4) * binomial(n,k), 0 <= k <= n.","claims":[],"premises":[],"cited_by":[]}