{"id":"e-8757fa737c6fdb5c","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-0d4f187a7cfebed3","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":"18f55c923231bb5cb99ba97e246ae659ab769deef774d797cccf860f2e8218c2","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":10264,"certificate_compressed_size":2861,"conclusion_name":"shift_x_plus_one of veronese_section_2_0 of Twice Pascal's triangle A007318: T(n,k) = 2*C(n,k).","claims":[],"premises":[],"cited_by":[]}