Sentence examples similar to the previously stated theorem from inspiring English sources

However, in this case, the new definition would make it more difficult to state theorems concerning the even numbers.

Part of the previously reported Deficiency Zero Theorem is substantially generalized by the Deficiency One Theorem.

This gives us the version of the theorem stated in the main text.

The equation stated by the theorem may be derived as follows: We are now in a position to state a very general version of the second part of the Likelihood Ratio Convergence Theorem.

Remark 2.6 The linear convergence  (4.3) of η which is stated in Theorem 4.1 (i), is independent of  (2.8) – (2.80).

In this section, we show how we proved the theorems stated in the Results section.

As stated by Theorem 4, it might be the superset of one or more k + 1-clique communities.

The theorem as stated above is a simple corollary of Theorem 3.1.

The details are stated in the next theorem.

To state the theorem, we need to specify the gluing data between three categories of polymodules.

Before stating the theorem, we discuss an example from Aumann & Brandenburger (1995) that illustrates the key ideas.