Continuity of coefficient extraction

In ${{\mathcal{V}}_{\Sigma }}^{[3]}$, extraction of a fixed $\hslash$-coefficient is a coordinate projection. Evaluation at the zero configuration then extracts its field-independent coefficient. Both maps are continuous.

This does not recreate the normal-topology contradiction: the missing hypothesis is convergence of unchanged regular approximants to the admitted sharp element, which Theorem thm:IX1 explicitly excludes.