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.
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 $\displaystyle A\times B$?