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(*  Title:      ZF/Update.thy
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    ID:         $Id$
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    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
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    Copyright   1998  University of Cambridge
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Function updates: like theory Map, but for ordinary functions
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*)
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Update = func +
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consts
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  update  :: "[i,i,i] => i"
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nonterminals
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  updbinds  updbind
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syntax
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  (* Let expressions *)
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  "_updbind"       :: [i, i] => updbind             ("(2_ :=/ _)")
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  ""               :: updbind => updbinds             ("_")
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  "_updbinds"      :: [updbind, updbinds] => updbinds ("_,/ _")
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  "_Update"        :: [i, updbinds] => i            ("_/'((_)')" [900,0] 900)
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translations
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  "_Update (f, _updbinds(b,bs))"  == "_Update (_Update(f,b), bs)"
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  "f(x:=y)"                     == "update(f,x,y)"
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defs
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  update_def "f(a:=b) == lam x: cons(a, domain(f)). if(x=a, b, f`x)"
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end
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