Hide "Add to Cart" in display files

In what files is the "Add to Cart" display button for products listed? I've been looking through the Display menu and so far haven't found it yet, but I'd like to incorporate my own rules for showing the add to cart.

Hi Teonnyn,

You can set your options in the view "Product / add_to_cart_listing", this view is called for the products listing, and then it call the view "product / quantity" which is user for the product pages too.

Thank you! Out of curiosity, is there a Essential->Business upgrade, for if you already purchased Essential?