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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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2469
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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
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