  We prove a uniform version of Varadhan decomposition for shift-invariant
closed uniform forms associated to large scale interacting systems on general
crystal lattices. In particular, this result includes the case of translation
invariant processes on Euclidean lattices $\mathbf{Z}^d$ with finite range. Our
result generalizes the result of arXiv:2009.04699 which was valid for systems
on transferable graphs. In subsequent research, we will use the result of this
article to prove Varadhan's decomposition of closed $L^2$-forms for large scale
interacting systems on general crystal lattices.
