Section Comp.
Context {V : CompleteNormedModule R_AbsRing}.
(* Notation consistent version of the lemmas used in is_RInt_comp *)

Lemma IVT_gen_consistent (f : R -> R) (a b y : R) :
(forall x, continuous f x)
-> Rmin (f a) (f b) <= y <= Rmax (f a) (f b)
-> { x : R | Rmin a b <= x <= Rmax a b /\ f x = y }.