**Parity** is the porperty of an Integer of whether it is *even* or *odd*.

## Even

An even number is an integer of the form

where

## Odd

An odd number is an integer of the form

`x`

/ `+`

of odd and even numbers

- even
`+`

even = even: - even
`+`

odd = even: - odd
`+`

odd = even: - even
`x`

even = even: - even
`x`

odd = even: - odd
`x`

odd = odd: