Definition: Representation class fixed before the test

The selected class uses the original common space $W$, with $z$ retained. It permits:

1. named tensor products, submersion pullbacks, differential operators, and support-proper pushforwards of the existing tree kernels;

2. individual regular conormal or canonical-relation charts, with their orders and amplitudes specified;

3. a composition across intersecting relation charts only after its matching and uniform amplitude hypotheses have been proved.

A wavefront inclusion, a union of relation charts, or an exact distributional tensor-product formula does not by itself supply the amplitude theorem in (iii).

There is no common product phase and no identification with XIV-F's excluded matching. The two gravitational-response legs are kept separate until their own kernel relations have been written.