  We extend the BRS and anti-BRS symmetry to the two point space of Connes'
non-commutative model building scheme. The constraint relations are derived and
the quantum Lagrangian constructed. We find that the quantum Lagrangian can be
written as a functional of the curvature for symmetric gauges with the BRS,
anti-BRS auxiliary field finding a geometrical interepretation as the extension
of the Higgs scalar.
