Rights are expectations that you have from a just society. There's no real division into positive and negative rights. Due process, for instance, could be phrased either way but it is the same right nonetheless. One phrasing would emphasize freedom from extralegal persecution, the other would emphasize that all sorts of people (e.g. lawyers, juries, judges) are compelled to provide you certain services.

You can't have rights without guaranteeing action. My right not to be tortured requires all sorts of individual and societal interventions in order to fulfill. There's no classification of rights into positive/negative and certainly no difference in validity between the two.

I could not have said it better myself. I actually thought of that a little while after I wrote that.