--- a/src/ZF/OrderArith.thy Mon Feb 05 21:33:14 1996 +0100
+++ b/src/ZF/OrderArith.thy Tue Feb 06 12:27:17 1996 +0100
@@ -1,6 +1,6 @@
-(* Title: ZF/OrderArith.thy
+(* Title: ZF/OrderArith.thy
ID: $Id$
- Author: Lawrence C Paulson, Cambridge University Computer Laboratory
+ Author: Lawrence C Paulson, Cambridge University Computer Laboratory
Copyright 1994 University of Cambridge
Towards ordinal arithmetic
@@ -15,14 +15,14 @@
(*disjoint sum of two relations; underlies ordinal addition*)
radd_def "radd(A,r,B,s) ==
{z: (A+B) * (A+B).
- (EX x y. z = <Inl(x), Inr(y)>) |
- (EX x' x. z = <Inl(x'), Inl(x)> & <x',x>:r) |
+ (EX x y. z = <Inl(x), Inr(y)>) |
+ (EX x' x. z = <Inl(x'), Inl(x)> & <x',x>:r) |
(EX y' y. z = <Inr(y'), Inr(y)> & <y',y>:s)}"
(*lexicographic product of two relations; underlies ordinal multiplication*)
rmult_def "rmult(A,r,B,s) ==
{z: (A*B) * (A*B).
- EX x' y' x y. z = <<x',y'>, <x,y>> &
+ EX x' y' x y. z = <<x',y'>, <x,y>> &
(<x',x>: r | (x'=x & <y',y>: s))}"
(*inverse image of a relation*)