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src/ZF/Finite.thy
author lcp
Tue, 16 Aug 1994 19:03:45 +0200
changeset 534 cd8bec47e175
parent 516 1957113f0d7d
child 578 efc648d29dd0
permissions -rw-r--r--
ZF/Finite: added the finite function space, A-||>B ZF/InfDatatype: added rules for the above

(*  Title: 	ZF/Finite.thy
    ID:         $Id$
    Author: 	Lawrence C Paulson, Cambridge University Computer Laboratory
    Copyright   1994  University of Cambridge

Finite powerset operator
*)

Finite = Arith + 
consts
  Fin 	    :: "i=>i"
  FiniteFun :: "[i,i]=>i"		("(_ -||>/ _)" [61, 60] 60)

inductive
  domains   "Fin(A)" <= "Pow(A)"
  intrs
    emptyI  "0 : Fin(A)"
    consI   "[| a: A;  b: Fin(A) |] ==> cons(a,b) : Fin(A)"
  type_intrs "[empty_subsetI, cons_subsetI, PowI]"
  type_elims "[make_elim PowD]"

inductive
  domains   "FiniteFun(A,B)" <= "Fin(A*B)"
  intrs
    emptyI  "0 : A -||> B"
    consI   "[| a: A;  b: B;  h: A -||> B;  a ~: domain(h)   \
\	     |] ==> cons(<a,b>,h) : A -||> B"
  type_intrs "Fin.intrs"
end
isabelle