{"id":"e-6e1e59d586c4c010","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-2d5c09b3ab5c188a","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":"ade5b658e551c4679ed925de2c1cee54d98fddaa71142d4ad1c8426d7ca6ad8d","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":8461,"certificate_compressed_size":2412,"conclusion_name":"shift_x_plus_one of hadamard_factor parent of Triangle read by rows: t(n,m) = binomial(2*n,2*m) * binomial(n,m).","claims":[],"premises":[],"cited_by":[]}