{"id":"e-017913195b484d15","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-599a15b7e3066985","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":"9c83016e332695a4f2f744da8ed7192f7ede4e720330e7a11f7caa39e35c6cdd","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":28123,"certificate_compressed_size":4977,"conclusion_name":"shift_x_plus_one of Triangle read by rows, T(n,k) = C(n,k)*C(k,n-k).","claims":[],"premises":[],"cited_by":[]}