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Require Import Reals.
Require Import Lra.
Open Scope R_scope.
Lemma l1 : forall x y z : R, Rabs (x - z) <= Rabs (x - y) + Rabs (y - z).
intros; split_Rabs; lra.
Qed.
Lemma l2 :
forall x y : R, x < Rabs y -> y < 1 -> x >= 0 -> - y <= 1 -> Rabs x <= 1.
intros.
split_Rabs; lra.
Qed.
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