Thread: one-to-one function

I need to prove that there exist a one-to-one function:
where should i start?

thanks in advanced!

try picking a function that maps an element a to (a,___) (i'll leave it to you to decide what might go in the blank).

do i just need to provide an example of a function that goes from ?
(like or ...)

im not sure what exactly do i need to prove here...

Originally Posted by Stormey

do i just need to provide an example of a function that goes from ?
(like or ...)

im not sure what exactly do i need to prove here...

'Fix' a . Then define by .

Now prove is one-to-one.

And note that the original claim is false when B is empty but A is not.

Thanks guys.
appreciate it!