{"id":"e-3b43508d22a3c256","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-66e2c3448245b0b7","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":"9a5e07ad5285fa7b2774b5eabbd1f915354d406d07c50d86fd854c267f0be59b","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":20258,"certificate_compressed_size":3767,"conclusion_name":"Triangle read by rows: T(n, k) is the number of diagonal dissections of a convex n-gon into k+1 regions.","claims":[],"premises":[],"cited_by":[]}