Question: (10 points) Find a way to express the logical operations and, or, and not in Hilbert's proof system. Show that your functions perform as expected.

  1. (10 points) Find a way to express the logical operations and, or, and not in Hilbert's proof system. Show that your functions perform as expected.
  2. (20 points) Using Hilbert's proof system, prove that the sum of any two even numbers is even.

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