Exactly. Inside a black hole is generally considered to be inside the event horizon.
Another thing: Although none has ever been found, it is possible to have a black hole with an event horizon on the scale of meters, centimeters, millimeters, or smaller.
None of these, nor regular sized black holes, have an infinite gravitational force anywhere, except on the surface of the singularity, which, as someone pointed out, is 'not very big'
Derek