Definition RRle_abs := Rle_abs.

(* Specifications: *)
Lemma Rabs_le : forall a b, -b <= a <= b -> Rabs a <= b.
Lemma Rabs_pos_eq : forall x:R, 0 <= x -> Rabs x = x.
Lemma Rabs_Rabsolu : forall x:R, Rabs (Rabs x) = Rabs x.
Lemma Rabs_pos_lt : forall x:R, x <> 0 -> 0 < Rabs x.
Lemma Rabs_minus_sym : forall x y:R, Rabs (x - y) = Rabs (y - x).
Lemma Rabs_mult : forall x y:R, Rabs (x * y) = Rabs x * Rabs y.
Lemma Rabs_inv r : Rabs (/ r) = / Rabs r.
Lemma Rabs_Rinv_depr : forall r, r <> 0 -> Rabs (/ r) = / Rabs r.