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(** *                     Definition of  Rpower                   *)
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Definition Rpower (x y:R) := exp (y * ln x).

Theorem limit1_ext : forall (f g:R -> R) (D:R -> Prop) (l x:R), (forall x:R, D x -> f x = g x) -> limit1_in f D l x -> limit1_in g D l x.