  We study the moduli space of three-dimensional $\mathcal{N}=2$ SQCD with
$SU(N)$ gauge group and $F<N$ massless flavors. In the case of an $SU(2)$
theory with a single massless flavor, we explicitly calculate the quantum
constraint $YM=1$ and generalize the calculation to models with arbitrary $N$
and $F=N-1$ flavors. In theories with $F<N-1$ flavors, we find that analogous
constraints exist in locally defined coordinate charts of the moduli space. The
existence of such constraints allows us to show that the Coulomb branch
superpotential generated by single monopole effects is equivalent to the
superpotential generated by multi-monopole contributions on the mixed
Higgs-Coulomb branch. As a check for our result, we implement the local
constraints as Lagrange multiplier terms in the superpotential and verify that
deformations of a theory by a large holomorphic mass term for the matter fields
results in a flow of the superpotential from the $F$-flavor model to the
superpotential of an $(F-1)$-flavor model.
