Thread: Order relations

A, B are order relations.
I need help in proving that if A, B are linear ordered sets, then AxB is also a linear ordered set
and if A, B are well ordered sets, then AxB is also a well ordered set.

Thanks!

Originally Posted by rebecca

A, B are order relations.
I need help in proving that if A, B are linear ordered sets, then AxB is also a linear ordered set
and if A, B are well ordered sets, then AxB is also a well ordered set.

Thanks!

What order do you think should be defined on ?

Here is a hint: Lexicographic Ordering