right exact functor as additive functor

Let \(\mathcal{A}, \mathcal{B}\) be additive categories and \(\mathcal{F}: \mathcal{A} \rightarrow \mathcal{B}\) be a right exact functor Then \(\mathcal{F}\) is an additive functor

corollary of:

• additive functor and biproduct
• biproduct as finite categorical product