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author | 2009-11-24 17:22:52 +0000 | |
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committer | 2009-11-24 17:22:52 +0000 | |
commit | 6f91dbd3218761e3ecc2ef634121ab643cefff57 (patch) | |
tree | 389fefd09a817aef40db5495da9c1409dc1dc126 /theories/Logic/JMeq.v | |
parent | cc0d671fa1f73e8984d9116b855e1c4a08cae6af (diff) |
Small extra result on JMeq vs eq_dep.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12540 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Logic/JMeq.v')
-rw-r--r-- | theories/Logic/JMeq.v | 14 |
1 files changed, 14 insertions, 0 deletions
diff --git a/theories/Logic/JMeq.v b/theories/Logic/JMeq.v index 83edf434e..fc4555a4a 100644 --- a/theories/Logic/JMeq.v +++ b/theories/Logic/JMeq.v @@ -125,6 +125,20 @@ assert (true=false) by (destruct H; reflexivity). discriminate. Qed. +(** However, when the dependencies are equal, [JMeq (P p) x (P q) y] + is as strong as [eq_dep U P p x q y] (this uses [JMeq_eq]) *) + +Lemma JMeq_eq_dep : + forall U (P:U->Prop) p q (x:P p) (y:P q), + p = q -> JMeq x y -> eq_dep U P p x q y. +Proof. +intros. +destruct H. +apply JMeq_eq in H0 as ->. +reflexivity. +Qed. + + (* Compatibility *) Notation sym_JMeq := JMeq_sym (only parsing). Notation trans_JMeq := JMeq_trans (only parsing). |