The target and the requirement ledger

The desired chain is

These implications require different theorems.

We retain the restricted gauge domain of Cheung's VII-A CheungVIIA. The boundary non-admission in VII-B, the normal-topology obstruction in VII-C, and the numerical finite part in VII-D concern different requirements CheungVIIB,CheungVIIC,CheungVIID. Their coexistence is not a contradiction.

Relational-coordinate calculations and causal propagator constructions provide comparison methods FrobCorrelation,FrobLima. Equicausal functionals provide uniform control for their admitted functional class HRV; they do not admit a kernel already violating the underlying microcausal exclusion. Off-shell deformation quantization, causal perturbation theory, and renormalized BV theory provide the surrounding frameworks Duetsch,BDF,FRBV,BFR,FrobWard, not an automatic construction for the present sharp insertion.