database theory – RDF | If something is a rdfs:subClassOf of :P can you infer it is also rdf:type :P?

Given:

:P rdfs:subClassOf :Q

Can you infer the following?:

:P rdf:type :Q

I do not think you can, but I am not fully sure. Whatever the answer is, could you briefly explain why?

(I am not sure if I should be asking this question here as there are no rdf or rdfs tags, but it is to do with my CompSci course :})