{"id":"e-87ce49be7a0dde6c","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-6fea5aff4f44fa54","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":"ab1bfadd73bd9cfad4695845f42f05eede1cfc3ae582b30702e8a39a0ad47333","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":4774,"certificate_compressed_size":1478,"conclusion_name":"a(n) = 1 if n is of the form m(m+3)/2, otherwise 0.","claims":[],"premises":[],"cited_by":[]}