  We consider the symmetric simple exclusion process in $\mathbb Z^d$ with
quenched bounded dynamic random conductances and prove its hydrodynamic limit
in path space. The main tool is the connection, due to the self-duality of the
process, between the invariance principle for single particles starting from
all points and the macroscopic behavior of the density field. While the
hydrodynamic limit at fixed macroscopic times is obtained via a generalization
to the time-inhomogeneous context of the strategy introduced in
\cite{nagy_symmetric_2002}, in order to prove tightness for the sequence of
empirical density fields we develop a new criterion based on the notion of
uniform conditional stochastic continuity, following
\cite{varadhan_stochasticprocesses_2007}. In conclusion, we show that uniform
elliptic dynamic conductances provide an example of environments in which the
so-called arbitrary starting point invariance principle may be derived from the
invariance principle of a single particle starting from the origin. Therefore,
our hydrodynamics result applies to the examples of quenched environments
considered in, e.g.,\ \cite{andres2014}, \cite{andres_quenched_2018},
\cite{biskup_invariance_2019} in combination with the hypothesis of uniform
ellipticity.
