{"id":"e-e0858ae2787f914b","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-9a0d716b5162dd54","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":"c04b8b43b85169c51f043ab185eac69ab57a1234fcf292b00d39021f0e82794b","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":28141,"certificate_compressed_size":4974,"conclusion_name":"shift_x_plus_one of A Motzkin related triangle.","claims":[],"premises":[],"cited_by":[]}