I'm studying the Axiom of Choice. But it is so hard for me to apply the exercise.
The question is:
Let $A$ be any set with more than one element. Prove that there exists a bijective function $f : A\to A$ such that $f(x)\neq x\text{ }\forall x \in A$.
I don't feel sure that the question is only for applying axiom of choice. I learned the Zorn's lemma but I dont feel certain to apply the Zorn's lemma.
Please help me.
