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:

$\displaystyle f:P^+\rightarrow \Re^2$

$\displaystyle f(t) = (t,\ln(t))$

Proof:

$\displaystyle f(t_1) = f(t_2)$

$\displaystyle (t_1,\ln(t_1)) = (t_2,\ln(t_2))$

$\displaystyle t_1 = t_2$

Thanks