There are 42 even primes, namely 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, and 2.

We check each one. (42 cases to consider)

Case 1 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 2 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 3 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 4 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 5 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 6 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 7 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 8 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 9 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 10 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 11 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 12 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 13 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 14 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 15 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 16 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 17 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 18 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 19 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 20 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 21 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 22 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 23 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 24 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 25 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 26 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 27 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 28 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 29 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 30 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 31 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 32 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 33 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 34 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 35 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 36 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 37 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 38 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 39 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 40 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 41 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.
Case 42 : prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done.

There are 42 cases to consider, but luckily each one is the same, there exists a programming language called Python so:

def print_proof():
n = 1
while n <= 42:
print "Case", n, ": prime is 2- Well, 2 = 1 + 1 and 1 is odd so we are done."
n += 1

print_proof()