Azetidines and b-lactams are key part of bioactive molecules, worthy three-dimensional bricks for medicinal chemistry, and reagents for elaborate syntheses (Scheme 1a). Few catalytic methods giving densely functionalized monocyclic products were reported. None could be readily switched to provide either azetidines or b-lactams, and the incorporation of an allylamino fragment, which is a vaunted structural feature, 2 is similarly under-developed.