{"id":"e-f20366b40a82ef63","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-511a2225fa2191c9","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":"ca4094b604bfacedda686a409a074ce8bdfbb266a7a1c37e2d07463f348fa8a6","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":7336,"certificate_compressed_size":1979,"conclusion_name":"Triangle read by rows: row n consists of n-1 zeros followed by n(n+1)/2.","claims":[],"premises":[],"cited_by":[]}