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Induction to demonstrate n-1 is a natural number

  1. Sep 5, 2012 #1
    The question is as follows: Using an induction argument if n > 1 is a natural number then n-1 is a natural number.

    P(n)=n-1 such that n-1 is a natural number

    Following the steps:

    Base case: n=2, P(2)=1 which is a natural number.

    We fix a natural number n and assume that P(n)=n-1 is true.

    So P(n+1)=(n+1)-1=n. We choose n to be a natural number, therefore this is true.

    Is this proof complete? It seems rather...light.
  2. jcsd
  3. Sep 5, 2012 #2
    Seems pretty solid to me ;-)
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