Eviction with cause in Colorado

[Chris Hertig]

We need some advice.  The tenant has violated multiple terms of the lease right at the end of May.  Before we could post a 3-day notice to quit with cause, he paid partial rent for June.

Can we still go ahead with the 3 day notice to quit with cause for subletting, having a dog and changing the locks even though we accepted partial rent?  He may smoking marijuana as well, which is also not allowed in the lease.