I have a problem with cardinals:
k,j,l are cardinals. 0<k, k=< l
So this, I believe, should be the way to solution:
I need to prove that j^k<=j^l
so, let |a|=j, |b|=k, |c|=l
I need to prove that |a^c| >= |a^b|
( >= means larger or equal)
Now, I understand that I need to create a function from a^b to a^c and show that it is a 1-1 function.
I now that I can say that there is a function that is a 1-1 function (because i know that b<=c ), but I just can't seem to find a way to use it...
please help me with this