src/ZF/Finite.thy
author clasohm
Thu Jun 22 17:13:05 1995 +0200 (1995-06-22)
changeset 1155 928a16e02f9f
parent 806 6330ca0a3ac5
child 1401 0c439768f45c
permissions -rw-r--r--
removed \...\ inside strings
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(*  Title: 	ZF/Finite.thy
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    ID:         $Id$
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    Author: 	Lawrence C Paulson, Cambridge University Computer Laboratory
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    Copyright   1994  University of Cambridge
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Finite powerset operator
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*)
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Finite = Arith + Inductive +
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consts
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  Fin 	    :: "i=>i"
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  FiniteFun :: "[i,i]=>i"		("(_ -||>/ _)" [61, 60] 60)
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inductive
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  domains   "Fin(A)" <= "Pow(A)"
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  intrs
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    emptyI  "0 : Fin(A)"
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    consI   "[| a: A;  b: Fin(A) |] ==> cons(a,b) : Fin(A)"
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  type_intrs "[empty_subsetI, cons_subsetI, PowI]"
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  type_elims "[make_elim PowD]"
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inductive
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  domains   "FiniteFun(A,B)" <= "Fin(A*B)"
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  intrs
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    emptyI  "0 : A -||> B"
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    consI   "[| a: A;  b: B;  h: A -||> B;  a ~: domain(h)   
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	     |] ==> cons(<a,b>,h) : A -||> B"
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  type_intrs "Fin.intrs"
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end