In Part 1, we built a boolean algebra using Church Encoding. In this post, we are going to reuse some of the previous work to build a similar algebra, this time for numerals.

## Church numerals

In the algebra we built in the previous post, Church booleans were encoded using higher-order functions. The way Church numerals are represented is similar: given a number `n`

and a function `f`

, the Church numeral of `n`

is the