  The Dodgson/Muir Identity is an identity on determinants of matrix minors
that generalizes the Dodgson Identity. Using the matrix tree theorem, we create
an equivalent forest identity on ordered sets of $k$ forests. We then prove the
generalized Forest Identity, and by extension the Dodgson/Muir Identity, using
an edge-swapping involution. This algorithm is a generalization of the Red Hot
Potato algorithm, developed by the author in 2021 to prove the Dodgson
Identity.
