(** Sqrt and addition *)

(* Specifications: *)
Lemma sqrt_add_le : forall a b, √(a+b) <= √a + √b.
(** convexity inequality for sqrt: sqrt of middle is above middle of square roots. *)
Lemma add_sqrt_le : forall a b, 0<=a -> 0<=b -> √a + √b <= √(2*(a+b)).
End NZSqrtProp.