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Math Help - help with proof techniques

  1. #1
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    help with proof techniques

    have no idea about this question
    Last edited by lemon721; February 8th 2010 at 02:24 PM.
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  2. #2
    MHF Contributor
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    I don't know what proof techniques you discussed in class, but one can prove (a), for example. The thing is that every formula that one wants to prove has some form: A and B; A or B; A implies B; for every x, A(x); S is a subset of S', etc. There is a way to prove formulas of each of those forms. E.g., to prove "for every x, A(x)" you fix an arbitrary x and prove that A(x) is true for this x.

    The claim you need to prove in (a) has the form "for every f, {O}(f) is a subset of \Gamma(f). If you now what it means to prove a formula of each form, you can gradually rewrite the claim and then see what you can do about it. Start with: "Fix some arbitrary f\in\mathcal{F}. Need to prove: {O}(f)\subseteq\Gamma(f)."
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