{"id":"e-30145a7ad20344a7","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-b4a66ef190cb2745","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":"82c62982e8a79153b62918a92bed7e5e18b4e962ba8d457031b2e92f624061f6","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":26702,"certificate_compressed_size":4624,"conclusion_name":"shift_x_plus_one of Triangle read by rows: triangle of repeated stepped binomial coefficients.","claims":[],"premises":[],"cited_by":[]}