Infinite Distributivity in the Lattice of Varieties of m-groups

We construct an example showing that in the lattice of varieties of m-groups, the equality VViUi=ViVUi\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{V}\left(\underset{i}{\mathrm{V}}{\mathcal{U}}_i\right)=\underset{i}{\mathrm{V}}\left(\mathcal{V}{\mathcal{U}}_i\right) $$\end{document} does not always hold for an infinite set of indices.