  We examine in detail the process of resolving 't Hooft anomalies by extending
the symmetry of a theory. Specifically, we interpret the ingredients of
existing prescriptions for anomaly resolution as the addition of topological
operators with designated mixed anomalies, which can be interpreted as coupling
our original field theory to a topological one. We show that, upon gauging, the
presence of such mixed anomalies leads to a modified version of the original
symmetry which now acts on the newly introduced operators, allowing for an
overall anomaly-free action. We also show that the original, anomalous symmetry
remains present in the theory. This analysis is applied to anomaly-resolving
extensions by both ordinary and higher-form symmetries, leading to related but
qualitatively distinct stories.
