(****************************************************************************  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 *)
simpl in |- *; auto with real.
Qed.

Theorem pow_1 : forall e : R, (e ^ 1)%R = e.