Kankuru is a great and FREE monitoring tool for SQL Server developed here in France. Aside from its monitoring capabilities, it also has a DB compare tool that is easy and simple to use.
It will not only show you if your stored procedures, tables, indexes, types, etc. exist on two servers, but also what those differences are between those two servers.
Here is another compare screen
It's very easy to use and as mentioned before, won't cost you a dime.
To setup Kankuru
Create an empty database in some SQL Server called Kankuru. The kankuru database just stores configuration information and some history and its very compact.
Start Kankuru and from the Home Menu select Configuration
- Configure kankuru to use the server\instance and database that you just created.
There is documentation, but its in French. Google translate will be able to get you through one way or another.