src/ZF/Coind/Map.thy
author paulson
Fri, 16 Feb 1996 18:00:47 +0100
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child 3840 e0baea4d485a
permissions -rw-r--r--
Elimination of fully-functorial style. Type tactic changed to a type abbrevation (from a datatype). Constructor tactic and function apply deleted.
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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