Updated evidence about the inherited definition

The original XVI-D reasoning must not be read as saying that XI-B defines its Green symbols only on compact-interior sources.

The supplied XVI-F-v3 explicitly reports a preceding XI-B sine-integral definition for smooth sources, with nondecaying sources interpreted locally by finite propagation. It uses that wider defining quantifier to identify the advanced operator on its boundary-flat source class. This is separate from the narrower inversion theorem lem:Green XVIFvThree.

Accordingly:

• failure of the compact-interior hypothesis is proved;

• absence of every wider inherited definition is not proved and is not asserted;

• the remaining retarded-coordinate check is whether the inherited completion uses the reported smooth-source prescription on the required family, with the stated smoothness and zero initial data.

Under that verified wider reading, the following comparison settles the field identity. No further uniqueness premise is needed.