{"id":"e-ae8ca04dd20b1f4f","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-f73887acc725d564","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":"244934d91d11b09dc84fd6e0dad3ed7cb2639911e4701f6318f2a838ef556533","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":28067,"certificate_compressed_size":4986,"conclusion_name":"shift_x_plus_one of basis_map_A013611 of Square the entries of Pascal's triangle.","claims":[],"premises":[],"cited_by":[]}