(* begin hide *)
Notation Rmin_2 := Rmin_glb_lt (only parsing).

Lemma continuous_neq_0 : forall (f:R -> R) (x0:R), continuity_pt f x0 -> f x0 <> 0 -> exists eps : posreal, (forall h:R, Rabs h < eps -> f (x0 + h) <> 0).