How to delete stored procedures from a database project and have that reflect on the server?

I have a Visual Studio database project with several stored procedures. I deleted one of them and then published the project. But the SP was still present on the published database and I had to delete manually. I would want the VS project to be the point of truth for the database. But at the same time, I'm publishing to a production database that has data. Is there a way to delete files in a VS database project so that those changes reflect on the published database?