src/ZF/AC.thy
author paulson
Mon, 23 Sep 1996 18:18:18 +0200
changeset 2010 0a22b9d63a18
parent 1478 2b8c2a7547ab
child 2469 b50b8c0eec01
permissions -rw-r--r--
Simplification of definition of synth
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
1478
2b8c2a7547ab expanded tabs
clasohm
parents: 484
diff changeset
     1
(*  Title:      ZF/AC.thy
484
70b789956bd3 Axiom of choice, cardinality results, etc.
lcp
parents:
diff changeset
     2
    ID:         $Id$
1478
2b8c2a7547ab expanded tabs
clasohm
parents: 484
diff changeset
     3
    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
484
70b789956bd3 Axiom of choice, cardinality results, etc.
lcp
parents:
diff changeset
     4
    Copyright   1994  University of Cambridge
70b789956bd3 Axiom of choice, cardinality results, etc.
lcp
parents:
diff changeset
     5
70b789956bd3 Axiom of choice, cardinality results, etc.
lcp
parents:
diff changeset
     6
The Axiom of Choice
70b789956bd3 Axiom of choice, cardinality results, etc.
lcp
parents:
diff changeset
     7
70b789956bd3 Axiom of choice, cardinality results, etc.
lcp
parents:
diff changeset
     8
This definition comes from Halmos (1960), page 59.
70b789956bd3 Axiom of choice, cardinality results, etc.
lcp
parents:
diff changeset
     9
*)
70b789956bd3 Axiom of choice, cardinality results, etc.
lcp
parents:
diff changeset
    10
70b789956bd3 Axiom of choice, cardinality results, etc.
lcp
parents:
diff changeset
    11
AC = ZF + "func" +
70b789956bd3 Axiom of choice, cardinality results, etc.
lcp
parents:
diff changeset
    12
rules
1478
2b8c2a7547ab expanded tabs
clasohm
parents: 484
diff changeset
    13
  AC    "[| a: A;  !!x. x:A ==> (EX y. y:B(x)) |] ==> EX z. z : Pi(A,B)"
484
70b789956bd3 Axiom of choice, cardinality results, etc.
lcp
parents:
diff changeset
    14
end