- #1
S&S
- 12
- 0
Let A and B be sets and Let f:A---->B be a function. Define a function G: Power set (B)------->Power (A) by declaring that, for C is part of B or equal to B:
G(C)={x is element of A: f(x) is element of C}
Show that G is 1-1 if and only if f is onto.
Can anyone teach me this problem? Hopefully I can get some feelings about set theory. I just don't feel right.
Thank you so much for your good tips.
G(C)={x is element of A: f(x) is element of C}
Show that G is 1-1 if and only if f is onto.
Can anyone teach me this problem? Hopefully I can get some feelings about set theory. I just don't feel right.
Thank you so much for your good tips.