# Reference request for Leibniz rule and spectral sequences

Suppose $$A_*$$,$$B_*$$, and $$C_*$$ are chain complexes equipped with filtrations and a map $$m:A_* \otimes B_* \to C_*$$ respecting these filtrations. I am looking for a reference for the fact that the map $$m$$ will induce a map of filtered chain complex spectral sequences which satisfies the Leibniz rule.