{"id":"e-dfb7962499f04eaa","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-ae7910bbe46f8a41","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":"a1ff49d29a81b3fa93cfbd10a92d20316d27d00e63c8d5561d9cdca93fab5703","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":4774,"certificate_compressed_size":1479,"conclusion_name":"Infinite lower triangular matrix with 2^k in the right diagonal and the rest zeros. Triangle, T(n,k), n zeros followed by the term 2^k. Triangle by columns, (2^k, 0, 0, 0, ...).","claims":[],"premises":[],"cited_by":[]}