{"id":"e-2cae63308f2c5e21","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-f5b1888afcf1e05c","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":"894433fcd2d57af47795c34227b2a55894e7b96bb3339824e3e1a9eec17ceec0","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":12673,"certificate_compressed_size":3158,"conclusion_name":"shift_x_plus_one of theta_plus_one of Triangle read by rows: n-th row is n^2 preceded by (n-1) zeros.","claims":[],"premises":[],"cited_by":[]}