  We propose a mixed finite element method for Stokes flow with one degree of
freedom per element and facet of simplicial grids. The method is derived by
considering the vorticity-velocity-pressure formulation and eliminating the
vorticity locally through the use of a quadrature rule. The discrete solution
is pointwise divergence-free and the method is pressure robust. The
theoretically derived convergence rates are confirmed by numerical experiments.
