The phrase "as this example demonstrates" is correct and usable in written English.
You can use it to refer to a specific example that illustrates a point or concept you are discussing.
Example: "The results of the study were conclusive, as this example demonstrates the effectiveness of the new method."
Alternatives: "as shown in this example" or "as illustrated by this example."
As this example demonstrates, if carefully managed, disagreements and diplomatic negotiations can lead to better results than you might expect.
As this example demonstrates, many of the classes and functions in multiprocessing are analogous to those in threading.
As this example demonstrates, highly motivated people in computing-starved communities make great use of the first few machines they get.
As this example demonstrates, in light of the principal purpose underlying the kind of privacy provisions here at issue, it is most reasonable to conclude that a state's privacy statute should be interpreted to apply to a telephone call in which one or more of the parties to the call are located within the state.
As this example demonstrates, a company can mitigate negative impacts to its reputation by actively managing the favorable ethical reputation of other aspects of the company.
As this example demonstrates, response shift cannot be considered merely a statistical artifact.
As that example demonstrates, taken to its logical conclusion, bracketing aesthetics as subjective ends with being unable to criticize racism at all.
As the Japanese example demonstrates, this sort of stagnation can last for a long time.
This as an initial example demonstrates a waveguide with low propagation loss of 0.03 dB/mm at 105 GHz.
For real multiple admixture situations, this classification framework could be extended to a more complex inferential setting (such as ABC), but this simple example demonstrates the potential for reconstructing complex admixture scenarios from the full wavelet variance profile.
