ZF/equalities/Sigma_cons: new
ZF/equalities/cons_eq: new
ZF/equalities.thy: added final newline
(* 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" + Rel +
consts
rtrancl :: "i=>i" ("(_^*)" [100] 100) (*refl/transitive closure*)
trancl :: "i=>i" ("(_^+)" [100] 100) (*transitive closure*)
rules
rtrancl_def "r^* == lfp(field(r)*field(r), %s. id(field(r)) Un (r O s))"
trancl_def "r^+ == r O r^*"
end