{"id":"e-d3b7ddfd0f1aef36","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-75ccd0453a9b6cec","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":"724f411d2412f21e1f7ef9faef3714d401b088da4d43ee9677389fe0a45c3fc0","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":6708,"certificate_compressed_size":2036,"conclusion_name":"Irregular triangle read by rows: T(n,k) = binomial(n-k, k), n >= 0, 0 <= k <= floor(n/2); or, coefficients of (one version of) Fibonacci polynomials.","claims":[],"premises":[],"cited_by":[]}