I am currently using the shaded environment from the framed package for large calculation digressions in my papers.

\usepackage{framed}

Unfortunately, when I try to include a figure within such a digression, I get the error ! LaTeX Error: Float(s) lost.

I'm using tikz right now, but ideally I'd like it to be in a wrapfigure since it's such a small figure..

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Since figures are floating in nature, you can't use them inside a static environment. But the reverse can be done as in:

\documentclass{article}
\usepackage{framed,graphicx,xcolor}

\begin{document}