As an immediate corollary of this inequality we get that the growth rate does not depend on the choice of generating set.
An immediate corollary is that loop-erased random walk is symmetric in its start and end points.
Often, theorems are stated in terms of the quantum relative entropy, which lead to immediate corollaries concerning the other quantities.
Note that an immediate corollary of (2) is that the coefficients in (1) are unique for each .
An immediate corollary is that an injective cellular automaton must be surjective.
An immediate corollary is the Gauss equation.
There are a number of generalizations as immediate corollaries, which are of some interest for the sake of applications.
As an immediate corollary we obtain a result you might have stumbled on in your researches into Problem 3.
Two immediate corollaries are the composition identity (or nesting property specifying a semigroup)
As an immediate corollary, we have:
