{"id":"e-5f4dd1a01db3cc9b","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-1c11ffc3c4cd47ed","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":"8ae532c04509dc9dce53e6acd7652881ef26f72706cb0573139cf98995ca8a5e","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":8767,"certificate_compressed_size":2534,"conclusion_name":"Infinitesimal Pascal matrix: generator (lower triangular matrix representation) of the Pascal matrix, the classical operator xDx, iterated Laguerre transforms, associated matrices of the list partition transform and general Euler transformation for sequences.","claims":[],"premises":[],"cited_by":[]}