(****************************************************************************  IEEE754  :  Rpow  Laurent Thery  ***************************************************************************** Definition of an exponential function over relative numbers *)
Require Export Omega.
Require Export Digit.
(* We have already an exponential over natural number, we prove some basic properties for this function *)

Theorem pow_O : forall e : R, (e ^ 0)%R = 1%R.
simpl in |- *; auto with real.