fact: Definition OuO (f : A -> R * R -> R^o) (g : R * R -> R^o) := (fun x => f x.1 x.2) =O_ (filter_prod [set setT]%classic (within P (nbhs (0%R:R^o,0%R:R^o)) )) (fun x => g x.2).
imports: Reals Coq(ssreflect ssrfun ssrbool) mathcomp(ssrnat eqtype choice fintype bigop order ssralg ssrnum) mathcomp(boolp reals Rstruct ereal) mathcomp(classical_sets signed topology normedtype landau)