$\"\"$

Given: $\"\"$

Prove: $\"\"$

Indirect Proof:

Let us assume that $\"\"$ . That is, $\"\"$ . $\"\"$

Make a table with several possibilies for $\"\"$ given that $\"\"$ .

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

\ $\"\"$ \	\ $\"\"$ \
\ 0 \	\ $\"\"$ \
\ $\"\"$ \	\ $\"\"$ \
\ $\"\"$ \	\ $\"\"$ \
\ $\"\"$ \	\ $\"\"$ \

This is contradiction because when $\"\"$ , $\"\"$ . $\"\"$

In both cases, the assumption leads to the contradiction of a known fact. Therefore, the assumption that $\"\"$ must be false, which means that $\"\"$ is must be true. $\"\"$

The given theorem was proved that is $\"\"$ .