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

Theorem pow_NR0 : forall (e : R) (n : nat), e <> 0%R -> (e ^ n)%R <> 0%R.