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--- Dictionary-orig Sun Feb 10 13:36:00 2002
+++ Dictionary Sun Feb 10 13:43:53 2002
@@ -158236,10 +158236,10 @@
<mathematics> A set with a {total ordering} and no infinite
descending {chain}s. A total ordering "<=" satisfies x <= x;
- x <= y <= z => x <= z; x <= y <= x => x=y; and for all x, y, x
- <= y or y <= x. In addition, if a set W is well-ordered then
- all non-empty subsets A of W have a least element, i.e. there
- exists x in A such that for all y in A, x <= y.
+ x <= y <= z => x <= z; x <= y <= x => x=y; and for all x,
+ y, x <= y or y <= x. In addition, if a set W is well-ordered
+ then all non-empty subsets A of W have a least element, i.e.
+ there exists x in A such that for all y in A, x <= y.
{Ordinal}s are {isomorphism class}es of {well-ordered set}s,
just as {integer}s are {isomorphism class}es of finite sets.
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