{"id":"e-5b5f75940e0ba52f","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-370e6d9b4c185cdc","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":"44d13f4d1fb28bae3790166ad0f5ff51a18b7d3d5a79af7854ba147c7f9002ff","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":8254,"certificate_compressed_size":2404,"conclusion_name":"shift_x_plus_one of veronese parent of Binomial coefficients C(n,k) with n-k even, read by rows.","claims":[],"premises":[],"cited_by":[]}