{"id":"e-63f6e30cb237e510","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-af1d3c6f634a3212","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":"fd42d2c40d75405eca9e665e646eba066f7fea94ce643595ce87f1181f0a7285","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":22066,"certificate_compressed_size":5289,"conclusion_name":"Square array read by antidiagonals: S(p,q) = (p+q+1)!(2p+2q+1)!/((p+1)!(2p+1)!(q+1)!(2q+1)!) (p,q>=0).","claims":[],"premises":[],"cited_by":[]}