{"id":"e-e62cfe3f46e65c48","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-67d789c805b2e2cd","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":"e30f127c1df34da9d7ed5de098846eecacc2a7ef9fa4882b5ec26c0ae410e30c","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":18147,"certificate_compressed_size":3603,"conclusion_name":"basis_map_A007318 of Triangle read by rows: T(k,s) = ((2*k+1)/(2*s+1))*binomial(k+s,2*s), 0 <= s <= k.","claims":[],"premises":[],"cited_by":[]}