{"id":"e-cddea33175d38134","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-1074deee959abad5","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":"4b5529e1c14cb5a25de3ce95c6de1aa00c34dce855e2ab32506ff04cbf6df798","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":10633,"certificate_compressed_size":3003,"conclusion_name":"shift_x_plus_one of Triangle T(n,k) of coefficients of Lucas (or Cardan) polynomials.","claims":[],"premises":[],"cited_by":[]}