src/ZF/Trancl.thy
author lcp
Tue, 29 Nov 1994 00:31:31 +0100
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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