{"id":"e-b3c91bcca268a73d","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-17ae8aea8bf71051","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":"c424878479b8f220a67abe3accce6ba6be855db4c86d4077ec46c11fcc14301b","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":27720,"certificate_compressed_size":4920,"conclusion_name":"shift_x_plus_one of basis_map_A013609 of Triangle read by rows: triangle of repeated stepped binomial coefficients.","claims":[],"premises":[],"cited_by":[]}