# Math Help - Easy Proof of Injection?

1. ## Easy Proof of Injection?

Hi all, I'm doing this problem and it just seems too easy. Please tell me if what I'm doing is wrong. Thank I might have to go back and redo some other problems =)
Prove the function is injective:
$f:P^+\rightarrow \Re^2$
$f(t) = (t,\ln(t))$

Proof:
$f(t_1) = f(t_2)$
$(t_1,\ln(t_1)) = (t_2,\ln(t_2))$
$t_1 = t_2$

Thanks

2. That works.