Is there a standard way to manage sentences within a sentence? For example:
Using the following definition
Definition 1: A graph G is isomorphic to another graph H if there is an isomorphism f from the vertices of G to the vertices of H. Further, f(v)f(u) is an edge of H if and only if vu is an edge of G.
in the following lemma,
Lemma 2: Let H and G be isomorphic graphs. If there is a set of t vertices that disconnect H then there is a set of t vertices that disconnect G.
we obtain the following theorem
Theorem 3: Suppose H is isomorphic to G. Then the connectivity of H is equal to the connectivity of G.
Is this grammatically correct, or should it be presented in a different way?