fact: Definition i_validTM (x0 : R) (X : interval) (M : rpa) (xf : R -> ExtendedR) := [/\ forall x : R, contains X (Xreal x) -> xf x = Xnan -> I.convert (error M) = IInan, X = IInan -> I.convert (error M) = IInan, contains (I.convert (error M)) (Xreal 0), contains X (Xreal x0) & exists2 Q, approx M >:: Q & forall x, contains X (Xreal x) -> error M >: proj_val (xf x) - Q.[x - x0]].
imports: Coq(ZArith Psatz Reals) Flocq(Raux) Coquelicot(Coquelicot) mathcomp.ssreflect(ssreflect ssrfun ssrbool eqtype ssrnat seq fintype bigop) Stdlib MathComp Coquelicot Xreal Interval Basic Xreal_derive Interval_compl Datatypes Taylor_poly Basic_rec Bound