src/ZF/Trancl.thy

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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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−
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−Transitive closure of a relation
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−*)
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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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−
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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