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authorGravatar herbelin <herbelin@85f007b7-540e-0410-9357-904b9bb8a0f7>2009-09-27 08:31:45 +0000
committerGravatar herbelin <herbelin@85f007b7-540e-0410-9357-904b9bb8a0f7>2009-09-27 08:31:45 +0000
commit42331c8a1f29b97b6fa3300a667eea57deac86d0 (patch)
tree994af72db1a54108fcab8f5607352f2a77f4ae34 /theories/Reals/DiscrR.v
parent09db4999b6fd09dd33ccdd423f72b86d1eb9fe86 (diff)
Add a few properties about Rmin/Rmax with replication in Zmin/Zmax.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12358 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Reals/DiscrR.v')
-rw-r--r--theories/Reals/DiscrR.v9
1 files changed, 1 insertions, 8 deletions
diff --git a/theories/Reals/DiscrR.v b/theories/Reals/DiscrR.v
index 45e91577e..e037c77b5 100644
--- a/theories/Reals/DiscrR.v
+++ b/theories/Reals/DiscrR.v
@@ -16,14 +16,7 @@ Lemma Rlt_R0_R2 : 0 < 2.
change 2 with (INR 2); apply lt_INR_0; apply lt_O_Sn.
Qed.
-Lemma Rplus_lt_pos : forall x y:R, 0 < x -> 0 < y -> 0 < x + y.
-intros.
-apply Rlt_trans with x.
-assumption.
-pattern x at 1 in |- *; rewrite <- Rplus_0_r.
-apply Rplus_lt_compat_l.
-assumption.
-Qed.
+Notation Rplus_lt_pos := Rplus_lt_0_compat (only parsing).
Lemma IZR_eq : forall z1 z2:Z, z1 = z2 -> IZR z1 = IZR z2.
intros; rewrite H; reflexivity.