src/ZF/Finite.thy
changeset 1478 2b8c2a7547ab
parent 1401 0c439768f45c
child 6053 8a1059aa01f0
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1477:4c51ab632cda 1478:2b8c2a7547ab
     1 (*  Title: 	ZF/Finite.thy
     1 (*  Title:      ZF/Finite.thy
     2     ID:         $Id$
     2     ID:         $Id$
     3     Author: 	Lawrence C Paulson, Cambridge University Computer Laboratory
     3     Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
     4     Copyright   1994  University of Cambridge
     4     Copyright   1994  University of Cambridge
     5 
     5 
     6 Finite powerset operator
     6 Finite powerset operator
     7 *)
     7 *)
     8 
     8 
     9 Finite = Arith + Inductive +
     9 Finite = Arith + Inductive +
    10 consts
    10 consts
    11   Fin 	    :: i=>i
    11   Fin       :: i=>i
    12   FiniteFun :: [i,i]=>i		("(_ -||>/ _)" [61, 60] 60)
    12   FiniteFun :: [i,i]=>i         ("(_ -||>/ _)" [61, 60] 60)
    13 
    13 
    14 inductive
    14 inductive
    15   domains   "Fin(A)" <= "Pow(A)"
    15   domains   "Fin(A)" <= "Pow(A)"
    16   intrs
    16   intrs
    17     emptyI  "0 : Fin(A)"
    17     emptyI  "0 : Fin(A)"
    22 inductive
    22 inductive
    23   domains   "FiniteFun(A,B)" <= "Fin(A*B)"
    23   domains   "FiniteFun(A,B)" <= "Fin(A*B)"
    24   intrs
    24   intrs
    25     emptyI  "0 : A -||> B"
    25     emptyI  "0 : A -||> B"
    26     consI   "[| a: A;  b: B;  h: A -||> B;  a ~: domain(h)   
    26     consI   "[| a: A;  b: B;  h: A -||> B;  a ~: domain(h)   
    27 	     |] ==> cons(<a,b>,h) : A -||> B"
    27              |] ==> cons(<a,b>,h) : A -||> B"
    28   type_intrs "Fin.intrs"
    28   type_intrs "Fin.intrs"
    29 end
    29 end