“…By the same calculation, we can prove an analog of Schwarz lemma for a function that admits a realization formula. Such examples are the nc Schur-Agler class in the Ball, Marx, and Vinnikov framework[8], the operator NC Schur-Agler class studied by Augat and McCarthy[7], the Schur-Agler class[1,5] (note that this class is nothing but the "level 1" of the nc Schur-Agler class; see[3, Theorem 8.19]), and the contractive multipliers of an irreducible complete Pick Hilbert function space[2]. In the last case, we have to calculate the zeros of the injection b in [2, Theorem 8.2].…”