
diff -r 000000000000 -r a5a9c433f639 src/ZF/Trancl.thy
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/ZF/Trancl.thy	Thu Sep 16 12:20:38 1993 +0200
@@ -0,0 +1,21 @@
+(*  Title: 	ZF/trancl.thy
+    ID:         $Id$
+    Author: 	Lawrence C Paulson, Cambridge University Computer Laboratory
+    Copyright   1992  University of Cambridge
+
+Transitive closure of a relation
+*)
+
+Trancl = Fixedpt + Perm + 
+consts
+    "rtrancl"	:: "i=>i"  ("(_^*)" [100] 100)  (*refl/transitive closure*)
+    "trancl"    :: "i=>i"  ("(_^+)" [100] 100)  (*transitive closure*)
+    "trans"	:: "i=>o"  			(*transitivity predicate*)
+
+rules
+    trans_def   "trans(r) == ALL x y z. <x,y>: r --> <y,z>: r --> <x,z>: r"
+
+    rtrancl_def	"r^* == lfp(field(r)*field(r), %s. id(field(r)) Un (r O s))"
+
+    trancl_def  "r^+ == r O r^*"
+end




