We prove that two Enriques surfaces defined over an algebraically closed field of
characteristic different from 2 are isomorphic if their Kuznetsov components are equivalent.
This improves and completes our previous result joint with Nuer where the same statement
is proved for generic Enriques surfaces.

We prove that two general Enriques surfaces defined over an algebraically closed field of
characteristic different from 2 are isomorphic if their Kuznetsov components are equivalent.
We apply the same techniques to give a new simple proof of a conjecture by Ingalls and
Kuznetsov relating the derived categories of the blow-up of general Artin–Mumford quartic
double solids and of the associated Enriques surfaces.