S matrix proof of consistency condition derived from mixed anomaly

For a confining quantum field theory with conserved current J and stress tensor T, the left-angle JJJ right-angle and left-angle JTT right-angle anomalies computed in terms of elementary quanta must be precisely equal to the same anomalies computed in terms of the exact physical spectrum if the conservation law corresponding to J is unbroken. These strongly constrain the allowed representations of the low energy spectrum. The authors present a proof of the latter consistency condition based on the proof by Coleman and Grossman of the former consistency condition