{"id":"e-e04d6ef53c0359bc","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-dbc23e13bb290987","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":"efa09676db58b07d9306edd24227b5788e9d63670445104483905c3f370b1aca","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":14947,"certificate_compressed_size":3472,"conclusion_name":"hadamard_factor parent of Triangle read by rows: t(n,m) = binomial(2*n,2*m) * binomial(n,m).","claims":[],"premises":[],"cited_by":[]}