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Math Help - Easy Proof of Injection?

  1. #1
    Junior Member
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    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
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  2. #2
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    That works.
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