My Little Pony: Friendship is Magic - Bronies need to learn that Bronies in general are related to furries.

Furries are fans of anthropomorphic animals.

Bronies are fans of MLP. MLP is a show that has somewhat anthropomorphous animals. We have humanization and all that, so bronies are not a subset of the furries.

We're tangently related. There's overlap in our fandoms, but the definition of brony and furry is only distantly related by a definition.