  We prove the eventological $H$-theorem that complements the Boltzmann
H-theorem from statistical mechanics and serves as a mathematical excuse
(mathematically no less convincing than the Boltzmann H-theorem for the second
law of thermodynamics) for what can be called "the second law of eventology",
which justifies the application of Gibbs and "anti-Gibbs" distributions of sets
of events minimizing relative entropy, as statistical models of the behavior of
a rational subject, striving for an equilibrium eventological choice between
perception and activity in various spheres of her/his co-being.
