{"id":"e-e25e6410c4c2c162","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-e7ab1f11d81b9cb5","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":"8b729da3b3ae853a99cecb599f17bd3b0dd57e98842a32971d4c12ae60330236","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":11355,"certificate_compressed_size":3154,"conclusion_name":"shift_x_plus_one of veronese_section_2_1 of Triangle read by rows: T(n,k) = C(n+3,3) * C(n,k), 0 <= k <= n.","claims":[],"premises":[],"cited_by":[]}