You have constructed a bijection between Z and 2Z, that is f(z)=2z.
Is there a bijection from Z(the set of integers) to A(the set of even integers)?
Ans
I would say yes
Z: ... -3 -2 -1 0 1 2 3 ...
A: ... -6 -4 -2 0 2 4 6 ...
As every element is matched and it is one-one, I say yes.
Just looking for verification