# Theory of elementary sets: for two ordinals, \$ | A | nleq | B | \$, Can you conclude \$ | A |> | B | \$?

For two ordinals, $$| A | nleq | B |$$, we can conclude? $$| A |> | B |$$?

Observe the $$<$$ Here they represent the cardinal order.

I was thinking of using the linear order relationship of $$A$$ Y $$B$$ in ordinal, but I'm not sure if it's possible without the AC discussion.