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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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806
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Finite = Arith + Inductive +
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534
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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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534
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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
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