diff options
| author |  glondu <glondu@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2009-09-17 15:58:14 +0000 |
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| committer | glondu <glondu@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2009-09-17 15:58:14 +0000 |
| commit | 61ccbc81a2f3b4662ed4a2bad9d07d2003dda3a2 (patch) | |
| tree | 961cc88c714aa91a0276ea9fbf8bc53b2b9d5c28 /theories/ZArith/Zminmax.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/Zminmax.v')
| -rw-r--r-- | theories/ZArith/Zminmax.v | 12 |
1 files changed, 6 insertions, 6 deletions
diff --git a/theories/ZArith/Zminmax.v b/theories/ZArith/Zminmax.v index 6ea02a483..83dceb84b 100644 --- a/theories/ZArith/Zminmax.v +++ b/theories/ZArith/Zminmax.v @@ -18,32 +18,32 @@ Open Local Scope Z_scope. Lemma Zmin_max_absorption_r_r : forall n m, Zmax n (Zmin n m) = n. Proof. - intros; apply Zmin_case_strong; intro; apply Zmax_case_strong; intro; + intros; apply Zmin_case_strong; intro; apply Zmax_case_strong; intro; reflexivity || apply Zle_antisym; trivial. Qed. Lemma Zmax_min_absorption_r_r : forall n m, Zmin n (Zmax n m) = n. Proof. - intros; apply Zmax_case_strong; intro; apply Zmin_case_strong; intro; + intros; apply Zmax_case_strong; intro; apply Zmin_case_strong; intro; reflexivity || apply Zle_antisym; trivial. Qed. (** Distributivity *) -Lemma Zmax_min_distr_r : +Lemma Zmax_min_distr_r : forall n m p, Zmax n (Zmin m p) = Zmin (Zmax n m) (Zmax n p). Proof. intros. - repeat apply Zmax_case_strong; repeat apply Zmin_case_strong; intros; + repeat apply Zmax_case_strong; repeat apply Zmin_case_strong; intros; reflexivity || apply Zle_antisym; (assumption || eapply Zle_trans; eassumption). Qed. -Lemma Zmin_max_distr_r : +Lemma Zmin_max_distr_r : forall n m p, Zmin n (Zmax m p) = Zmax (Zmin n m) (Zmin n p). Proof. intros. - repeat apply Zmax_case_strong; repeat apply Zmin_case_strong; intros; + repeat apply Zmax_case_strong; repeat apply Zmin_case_strong; intros; reflexivity || apply Zle_antisym; (assumption || eapply Zle_trans; eassumption). Qed. |