Exercise 9, § 5

Let H be a $(\mathscr{S}, \mathfrak{T})$-equihypocontinuous set of bilinear mappings from $E \times F$ into G (exerc. 7); show that for every pair of sets $M \in \mathscr{S}$, $N \in \mathfrak{T}$, H is uniformly equicontinuous in $M \times N$.