What is the name of tool used to file hoof down after removing metal shoe?

The tool used to file hoof down after removing a metal shoe is called a hoof rasp.

Here's why:

* Rasp: This refers to a coarse file with a rough surface, ideal for shaping and smoothing hard materials like hooves.

* Hoof: This is the hard, outer covering of a horse's foot.

Therefore, a hoof rasp is a specific type of file designed for the particular task of shaping and smoothing the hoof after removing a shoe.