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Div2 is an inverse operation of double operation

We want to prove
( M  : Nat  ) div2(2 * M) = M .
We use induction on M to prove this goal. For this, we use the induction scheme based on the signature { 0, s } for Nat. Induction requires that we do the following:
  1. Base case: prove the assertion for M = 0 .
  2. Induction case: assume the assertion for M = N0 , and then prove it for M = s N0 .

And thus the main goal is proved.

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       This page was generated by Kumo on Tue Feb 13 19:36:02 PST 2001.