  In this final piecemeal treatment of local Problem of Time facets, and
underlying Background Independence aspects, we first reconsider the ten local
facets and aspects considered so far at the quantum level. This is essential
both to appreciate past conceptualization and naming for these aspects and
facets, and because the quantum Problem of Time is a more advanced goal than
its classical counterpart.
  The case is made that each piecemeal aspect of Background Independence can be
incorporated, i.e. each piecemeal facet of the Problem of Time is resolvable,
in a local classical sense, using just Lie's Mathematics. This case is then
extended in Articles V to XIII to a joint resolution, i.e. successfully
handling the lion's share of the Problem of Time that resides in facet
interferences. Relationalism, Closure, Observables and Constructions are argued
to be super-aspects ordered to form a claw alias 3-star digraph with Closure as
nexus. This is realized twice: faithfully for spacetime and with some
modification in the split-Relationalism canonical case. There is finally a
Wheelerian 2-way route between the two realizations, with Spacetime
Construction from Space in one direction and Refoliation Invariance in the
other.
