{"id":"e-8f4e693782942de7","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-34a4e524e6a5040f","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":"e23b2a45cf21248227d276e1d7696d1bf804bc602abe525de48e97700ca27d1d","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":11043,"certificate_compressed_size":2879,"conclusion_name":"shift_x_plus_one of basis_map_A013609 of Triangle of coefficients of (x+1)*(x+3)*(x+6)*...*(x+n(n+1)/2).","claims":[],"premises":[],"cited_by":[]}