  General estimates from below of holomorphic and subharmonic functions play
one of the key roles in the theory of growth of holomorphic and subharmonic
functions and in general in the theory of potential. At the same time, the most
diverse technical apparatus was often used for this. In one of our recent
papers, we showed in fairly general cases that in fact such a wide set of tools
is not required. The classic Harnack distance is almost always enough. In this
article, we will illustrate how this works in the cases of the unit disc in the
complex plane.
