src/ZF/Trancl.thy
author paulson
Fri, 16 Feb 1996 18:00:47 +0100
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child 2469 b50b8c0eec01
permissions -rw-r--r--
Elimination of fully-functorial style. Type tactic changed to a type abbrevation (from a datatype). Constructor tactic and function apply deleted.
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(*  Title:      ZF/trancl.thy
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    ID:         $Id$
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    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
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    Copyright   1992  University of Cambridge
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Transitive closure of a relation
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*)
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Trancl = Fixedpt + Perm + "mono" + Rel + 
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consts
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    rtrancl :: i=>i  ("(_^*)" [100] 100)  (*refl/transitive closure*)
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    trancl  :: i=>i  ("(_^+)" [100] 100)  (*transitive closure*)
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defs
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    rtrancl_def "r^* == lfp(field(r)*field(r), %s. id(field(r)) Un (r O s))"
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    trancl_def  "r^+ == r O r^*"
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end