proposition: Lemma Rge_gt_trans : forall r1 r2 r3, r1 >= r2 -> r2 > r3 -> r1 > r3.
proof: Proof. now intros r1 r2 r3 H1%Rge_le H2%Rgt_lt; apply (Rlt_le_trans _ r2). Qed.
imports: RelationClasses Raxioms Rpow_def ZArith ZArithRing RealField