+(**************************************************************************)
+(* ___ *)
+(* ||M|| *)
+(* ||A|| A project by Andrea Asperti *)
+(* ||T|| *)
+(* ||I|| Developers: *)
+(* ||T|| The HELM team. *)
+(* ||A|| http://helm.cs.unibo.it *)
+(* \ / *)
+(* \ / This file is distributed under the terms of the *)
+(* v GNU General Public License Version 2 *)
+(* *)
+(**************************************************************************)
+
+(* Project started Wed Oct 12, 2005 ***************************************)
+(* Project taken over by "formal_topology" and restarted Mon Apr 6, 2009 **)
+
+include "logic/connectives.ma".
+include "datatypes/constructors.ma".
+include "datatypes/bool.ma".
+
+(* notations **************************************************************)
+
+notation < "hvbox(\iforall ident i opt (: ty) break . p)"
+ right associative with precedence 20
+for @{ 'iforall ${ default
+ @{λ ${ident i}: $ty. $p}
+ @{λ ${ident i}. $p}
+}}.
+
+notation > "\iforall list1 ident x sep , opt (: T). term 19 Px"
+ with precedence 20
+for ${ default
+ @{ ${ fold right @{$Px} rec acc @{'iforall (λ ${ident x} :$T . $acc)} } }
+ @{ ${ fold right @{$Px} rec acc @{'iforall (λ ${ident x} . $acc)} } }
+}.
+
+notation < "hvbox(\iexists ident i opt (: ty) break . p)"
+ right associative with precedence 20
+for @{ 'iexists ${ default
+ @{λ ${ident i}: $ty. $p}
+ @{λ ${ident i}. $p}
+}}.
+
+notation > "\iexists list1 ident x sep , opt (: T). term 19 Px"
+ with precedence 20
+for ${ default
+ @{ ${ fold right @{$Px} rec acc @{'iexists (λ ${ident x}: $T. $acc)} } }
+ @{ ${ fold right @{$Px} rec acc @{'iexists (λ ${ident x}. $acc)} } }
+}.