I'm reading Syntactic Analysis by Nicholas Sobin, which has a concise chapter on binding theory. The Wikipedia article on the matter is similarly concise, which is fine, as I do not want to go down a rabbit hole. But there is an evident inconsistency which I hope someone can assist with.
Principle B is said to state that a pronominal/pronoun must not be bound locally. So
*John(i) loves him(i).
The question is: how is an exception allowed for a genitive pronoun in the subsequent noun phrase? I.e.
John(i) loves his(i) wife.
"John" and "his" are surely bound here, violating principle B, yet the sentence is grammatical. Is there more to the definition of principle B than the book and Wikipedia are letting on?