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 /test-suite/micromega/square.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 'test-suite/micromega/square.v')
-rw-r--r-- | test-suite/micromega/square.v | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/test-suite/micromega/square.v b/test-suite/micromega/square.v index b78bba25c..4c00ffe4a 100644 --- a/test-suite/micromega/square.v +++ b/test-suite/micromega/square.v @@ -20,7 +20,7 @@ Proof. intros [n [p [Heq Hnz]]]; pose (n' := Zabs n); pose (p':=Zabs p). assert (facts : 0 <= Zabs n /\ 0 <= Zabs p /\ Zabs n^2=n^2 /\ Zabs p^2 = p^2) by auto. -assert (H : (0 < n' /\ 0 <= p' /\ n' ^2 = 2* p' ^2)) by +assert (H : (0 < n' /\ 0 <= p' /\ n' ^2 = 2* p' ^2)) by (destruct facts as [Hf1 [Hf2 [Hf3 Hf4]]]; unfold n', p' ; psatz Z 2). generalize p' H; elim n' using (well_founded_ind (Zwf_well_founded 0)); clear. intros n IHn p [Hn [Hp Heq]]. @@ -55,7 +55,7 @@ Theorem sqrt2_not_rational : ~exists x:Q, x^2==2#1. Proof. unfold Qeq; intros [x]; simpl (Qden (2#1)); rewrite Zmult_1_r. intros HQeq. - assert (Heq : (Qnum x ^ 2 = 2 * ' Qden x ^ 2%Q)%Z) by + assert (Heq : (Qnum x ^ 2 = 2 * ' Qden x ^ 2%Q)%Z) by (rewrite QnumZpower in HQeq ; rewrite QdenZpower in HQeq ; auto). assert (Hnx : (Qnum x <> 0)%Z) by (intros Hx; simpl in HQeq; rewrite Hx in HQeq; discriminate HQeq). |