added hmysql

[helm.git] / helm / matita / library / logic / connectives.ma

diff --git a/helm/matita/library/logic/connectives.ma b/helm/matita/library/logic/connectives.ma
index 5a1ad1fdd0f3aa8254dd2a8f1093e0d369486813..a8cba2b4a394f15584f779fc7749d713a94ad694 100644 (file)
--- a/helm/matita/library/logic/connectives.ma
+++ b/helm/matita/library/logic/connectives.ma
@@ -26,8 +26,8 @@ default "false" cic:/matita/logic/connectives/False.ind.
 definition Not: Prop \to Prop \def
 \lambda A. (A \to False).
 
+(*CSC: the URI must disappear: there is a bug now *)
 interpretation "logical not" 'not x = (cic:/matita/logic/connectives/Not.con x).
-alias symbol "not" (instance 0) = "logical not".
 
 theorem absurd : \forall A,C:Prop. A \to \lnot A \to C.
 intros. elim (H1 H).
@@ -38,8 +38,8 @@ default "absurd" cic:/matita/logic/connectives/absurd.con.
 inductive And (A,B:Prop) : Prop \def
     conj : A \to B \to (And A B).
 
+(*CSC: the URI must disappear: there is a bug now *)
 interpretation "logical and" 'and x y = (cic:/matita/logic/connectives/And.ind#xpointer(1/1) x y).
-alias symbol "and" (instance 0) = "logical and".
 
 theorem proj1: \forall A,B:Prop. A \land B \to A.
 intros. elim H. assumption.
@@ -53,13 +53,25 @@ inductive Or (A,B:Prop) : Prop \def
      or_introl : A \to (Or A B)
    | or_intror : B \to (Or A B).
 
-interpretation "logical or" 'or x y = (cic:/matita/logic/connectives/Or.ind#xpointer(1/1) x y).
-alias symbol "or" (instance 0) = "logical or".
+(*CSC: the URI must disappear: there is a bug now *)
+interpretation "logical or" 'or x y =
+  (cic:/matita/logic/connectives/Or.ind#xpointer(1/1) x y).
    
-definition decidable : Prop \to Prop \def \lambda A:Prop. A \lor \not A.
+definition decidable : Prop \to Prop \def \lambda A:Prop. A \lor \lnot A.
 
 inductive ex (A:Type) (P:A \to Prop) : Prop \def
     ex_intro: \forall x:A. P x \to ex A P.
 
+(*CSC: the URI must disappear: there is a bug now *)
+interpretation "exists" 'exists \eta.x =
+  (cic:/matita/logic/connectives/ex.ind#xpointer(1/1) _ x).
+
+notation < "hvbox(\exists ident i opt (: ty) break . p)"
+  right associative with precedence 20
+for @{ 'exists ${default
+  @{\lambda ${ident i} : $ty. $p)}
+  @{\lambda ${ident i} . $p}}}.
+
 inductive ex2 (A:Type) (P,Q:A \to Prop) : Prop \def
     ex_intro2: \forall x:A. P x \to Q x \to ex2 A P Q.
+