{"id":"e-778724515a851c9a","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-81dd46af24cc1515","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":"5214e6a5fc7d6cb1f82689b3d83ea35b79fd86e2e78ce5e34f1eea3d32ba848e","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":10971,"certificate_compressed_size":3093,"conclusion_name":"shift_x_plus_one of veronese_section_2_1 of Cube of lower triangular normalized binomial matrix.","claims":[],"premises":[],"cited_by":[]}