diff options
author | letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2012-07-05 16:56:37 +0000 |
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committer | letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2012-07-05 16:56:37 +0000 |
commit | ffb64d16132dd80f72ecb619ef87e3eee1fa8bda (patch) | |
tree | 5368562b42af1aeef7e19b4bd897c9fc5655769b /theories/Logic/Classical_Pred_Type.v | |
parent | a46ccd71539257bb55dcddd9ae8510856a5c9a16 (diff) |
Kills the useless tactic annotations "in |- *"
Most of these heavyweight annotations were introduced a long time ago
by the automatic 7.x -> 8.0 translator
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15518 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Logic/Classical_Pred_Type.v')
-rw-r--r-- | theories/Logic/Classical_Pred_Type.v | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/theories/Logic/Classical_Pred_Type.v b/theories/Logic/Classical_Pred_Type.v index 9d57fe88b..8da364a38 100644 --- a/theories/Logic/Classical_Pred_Type.v +++ b/theories/Logic/Classical_Pred_Type.v @@ -42,7 +42,7 @@ Qed. Lemma not_ex_all_not : forall P:U -> Prop, ~ (exists n : U, P n) -> forall n:U, ~ P n. Proof. (* Intuitionistic *) -unfold not in |- *; intros P notex n abs. +unfold not; intros P notex n abs. apply notex. exists n; trivial. Qed. @@ -52,20 +52,20 @@ Lemma not_ex_not_all : Proof. intros P H n. apply NNPP. -red in |- *; intro K; apply H; exists n; trivial. +red; intro K; apply H; exists n; trivial. Qed. Lemma ex_not_not_all : forall P:U -> Prop, (exists n : U, ~ P n) -> ~ (forall n:U, P n). Proof. (* Intuitionistic *) -unfold not in |- *; intros P exnot allP. +unfold not; intros P exnot allP. elim exnot; auto. Qed. Lemma all_not_not_ex : forall P:U -> Prop, (forall n:U, ~ P n) -> ~ (exists n : U, P n). Proof. (* Intuitionistic *) -unfold not in |- *; intros P allnot exP; elim exP; intros n p. +unfold not; intros P allnot exP; elim exP; intros n p. apply allnot with n; auto. Qed. |