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Math Help - Proof help: equality of natural numbers

  1. #1
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    Proof help: equality of natural numbers

    Thm 2: Suppose m, n eN are such that n >=m. Then n = m + b if and only if b = n -m.

    THe problem:
    If n, m e N with n >= m and n - m = 0, then n = m.

    I am asked to prove this as a consequence of Thm. 2. Any adivce? THanks.
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by jzellt View Post
    Thm 2: Suppose m, n eN are such that n >=m. Then n = m + b if and only if b = n -m.

    THe problem:
    If n, m e N with n >= m and n - m = 0, then n = m.

    I am asked to prove this as a consequence of Thm. 2. Any adivce? THanks.
    Use theorem 2, but let b=0...
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