Setoids, setoids1, sets, and the like. The mess begins.

[helm.git] / helm / software / matita / nlibrary / logic / connectives.ma

diff --git a/helm/software/matita/nlibrary/logic/connectives.ma b/helm/software/matita/nlibrary/logic/connectives.ma
index aca4af44980890a67df317318d6c653c240a652c..026e9216951c9224737b6493953317effd635369 100644 (file)
--- a/helm/software/matita/nlibrary/logic/connectives.ma
+++ b/helm/software/matita/nlibrary/logic/connectives.ma
@@ -35,8 +35,22 @@ ninductive Or (A,B:CProp) : CProp ≝
 
 interpretation "logical or" 'or x y = (Or x y).
 
-(* BUG HERE: WHY IS IT ACCEPTED??? *)
-inductive Ex (A:Type[1]) (P:A \to CProp[1]) : CProp[0] \def
-    ex_intro: \forall x:A. P x \to Ex A P.
+ninductive Ex (A:Type) (P:A → CProp) : CProp ≝
+    ex_intro: ∀x:A. P x → Ex A P.
 
-interpretation "exists" 'exists x = (Ex ? x).
\ No newline at end of file
+interpretation "exists" 'exists x = (Ex ? x).
+
+nrecord iff (A,B: CProp) : CProp ≝
+ { if: A → B;
+   fi: B → A
+ }.
+
+notation > "hvbox(a break \liff b)"
+  left associative with precedence 25
+for @{ 'iff $a $b }.
+
+notation "hvbox(a break \leftrightarrow b)"
+  left associative with precedence 25
+for @{ 'iff $a $b }.
+
+interpretation "logical iff" 'iff x y = (iff x y).