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Math Help - Natural Numbers - help needed

  1. #1
    Junior Member
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    Natural Numbers - help needed

    At first I apologize my horrible English; it's not my native language.

    I need little help with these exercises:
    1. Let m and n be natural numbers such that m < n. Show that there exists natural number p, that n =m + p+

    2. Let n be a natural number and let f:n+ -> w (omega) be function. Prove that set ran(f) has the largest member.

    (p+ means the follower of the number p; n+ means the follower of the number n)
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  2. #2
    MHF Contributor
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    What is the context of this problem? Is this a set theory course? What is the definition of < ? What kind of proofs you are looking for: the ones that strictly follow from ZF axioms or proofs in naive set theory?
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