Abstract We revisit the relation between the anomalies in four and six dimensions and the Chern-Simons couplings one dimension below. While the dimensional reduction of chiral theories is well-understood. the question which three and five-dimensional theories can come from a general circle reduction. and are hence liftable. https://www.bekindtopets.com/amazing-find-ChewMax-Chicken-Feet-top-grab/