{"id":"e-4006d85c148fe7de","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-79d0a909b2a6e62d","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":"c33ed3b865b2569e8610ec700e8a1d66bee0212272a093b49954dd050c8f8332","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":9330,"certificate_compressed_size":2517,"conclusion_name":"shift_x_plus_one of veronese_section_2_0 of Even-numbered rows of Pascal's triangle.","claims":[],"premises":[],"cited_by":[]}