--- a/src/ZF/trancl.thy Sat Apr 05 16:18:58 2003 +0200
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,21 +0,0 @@
-(* 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 + "mono" +
-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