src/ZF/Finite.thy
author paulson
Fri, 16 Feb 1996 18:00:47 +0100
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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/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