THEOREM
Every horse has an infinite number of legs.
PROOF
At the back a horse has two legs, and at the front a horse has fore legs.
So the total number of legs on any horse is two plus fore = six, an even
number. But six is an odd number of legs for a horse to have! Hence we
have shown that a horse has a number of legs that is both even and odd.
The only number that is both even and odd is infinity, therefore a horse
must have an infinite number of legs. End of proof.

Every horse has an infinite number of legs.
PROOF
At the back a horse has two legs, and at the front a horse has fore legs.
So the total number of legs on any horse is two plus fore = six, an even
number. But six is an odd number of legs for a horse to have! Hence we
have shown that a horse has a number of legs that is both even and odd.
The only number that is both even and odd is infinity, therefore a horse
must have an infinite number of legs. End of proof.