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(* Title: ZF/Coind/Map.thy
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ID: $Id$
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Author: Jacob Frost, Cambridge University Computer Laboratory
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Copyright 1995 University of Cambridge
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*)
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Map = QUniv +
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consts
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TMap :: "[i,i] => i"
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PMap :: "[i,i] => i"
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defs
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TMap_def "TMap(A,B) == {m:Pow(A*Union(B)).ALL a:A.m``{a}:B}"
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PMap_def "PMap(A,B) == TMap(A,cons(0,B))"
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(* Note: 0:B ==> TMap(A,B) = PMap(A,B) *)
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consts
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map_emp :: "i"
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map_owr :: "[i,i,i]=>i"
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map_app :: "[i,i]=>i"
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defs
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map_emp_def "map_emp == 0"
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map_owr_def "map_owr(m,a,b) == SUM x:{a} Un domain(m).if(x=a,b,m``{x})"
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map_app_def "map_app(m,a) == m``{a}"
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end
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