{"id":"e-b3ad603fc54c352a","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-e9d5ee5f07302b44","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":"30d0499108a99898f686e0b4006fd135758b90c2078dc0b883ee382b7347b57c","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":27973,"certificate_compressed_size":4963,"conclusion_name":"shift_x_plus_one of gamma_polynomial of Triangle T(n, k) is coefficient of z^n*w^k in 1/(1 - 2*z - 2*w - 2*z*w) read by rows in order 00, 10, 01, 20, 11, 02, ...","claims":[],"premises":[],"cited_by":[]}