{"id":"e-0c09459c06924f45","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-97deebd28987ca5a","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":"a92c79ff2cf97a9c22e281a3ba3aaf5ce4f6deb798bfa5993241d20b16d024dc","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":11349,"certificate_compressed_size":3185,"conclusion_name":"shift_x_plus_one of veronese_section_2_0 of Triangle read by rows: T(n,k) = C(n+3,3) * C(n,k), 0 <= k <= n.","claims":[],"premises":[],"cited_by":[]}