{"id":"e-d6989cf2be9b8f87","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-da91753b522836dd","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":"0bd81c73608137b51f05947147618e68b9b68813673f27137112edad34db0afd","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":28035,"certificate_compressed_size":4970,"conclusion_name":"shift_x_plus_one of Triangle of odd-numbered terms in rows of Pascal's triangle.","claims":[],"premises":[],"cited_by":[]}