src/ZF/OrdQuant.thy

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/ZF/OrdQuant.thy	Fri Jan 03 15:01:55 1997 +0100
@@ -0,0 +1,38 @@
+(*  Title:      ZF/AC/OrdQuant.thy
+    ID:         $Id$
+    Authors:    Krzysztof Grabczewski and L C Paulson
+
+Quantifiers and union operator for ordinals. 
+*)
+
+OrdQuant = Ordinal +
+
+consts
+  
+  (* Ordinal Quantifiers *)
+  oall, oex   :: [i, i => o] => o
+
+  (* Ordinal Union *)
+  OUnion      :: [i, i => i] => i
+  
+syntax
+  
+  "@oall"     :: [idt, i, o] => o        ("(3ALL _<_./ _)" 10)
+  "@oex"      :: [idt, i, o] => o        ("(3EX _<_./ _)" 10)
+  "@OUNION"   :: [idt, i, i] => i        ("(3UN _<_./ _)" 10)
+
+translations
+  
+  "ALL x<a. P"  == "oall(a, %x. P)"
+  "EX x<a. P"   == "oex(a, %x. P)"
+  "UN x<a. B"   == "OUnion(a, %x. B)"
+
+defs
+  
+  (* Ordinal Quantifiers *)
+  oall_def      "oall(A, P) == ALL x. x<A --> P(x)"
+  oex_def       "oex(A, P) == EX x. x<A & P(x)"
+
+  OUnion_def     "OUnion(i,B) == {z: UN x:i. B(x). Ord(i)}"
+  
+end