diff options
| author |  glondu <glondu@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2009-09-17 15:58:14 +0000 |
|---|---|---|
| committer | glondu <glondu@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2009-09-17 15:58:14 +0000 |
| commit | 61ccbc81a2f3b4662ed4a2bad9d07d2003dda3a2 (patch) | |
| tree | 961cc88c714aa91a0276ea9fbf8bc53b2b9d5c28 /theories/ZArith/auxiliary.v | |
| parent | 6d3fbdf36c6a47b49c2a4b16f498972c93c07574 (diff) | |
Delete trailing whitespaces in all *.{v,ml*} files
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12337 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/ZArith/auxiliary.v')
| -rw-r--r-- | theories/ZArith/auxiliary.v | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/theories/ZArith/auxiliary.v b/theories/ZArith/auxiliary.v index 5edf68013..6ebdcb50a 100644 --- a/theories/ZArith/auxiliary.v +++ b/theories/ZArith/auxiliary.v @@ -25,7 +25,7 @@ Open Local Scope Z_scope. Theorem Zne_left : forall n m:Z, Zne n m -> Zne (n + - m) 0. Proof. intros x y; unfold Zne in |- *; unfold not in |- *; intros H1 H2; apply H1; - apply Zplus_reg_l with (- y); rewrite Zplus_opp_l; + apply Zplus_reg_l with (- y); rewrite Zplus_opp_l; rewrite Zplus_comm; trivial with arith. Qed. @@ -97,7 +97,7 @@ Proof. intros x y z H1 H2 H3; apply Zle_trans with (m := y * x); [ apply Zmult_gt_0_le_0_compat; assumption | pattern (y * x) at 1 in |- *; rewrite <- Zplus_0_r; - apply Zplus_le_compat_l; apply Zlt_le_weak; apply Zgt_lt; + apply Zplus_le_compat_l; apply Zlt_le_weak; apply Zgt_lt; assumption ]. Qed. |