The phrase "an example proving" is correct and usable in written English.
It can be used when you want to present a specific instance that demonstrates or supports a particular point or argument.
Example: "The study provided an example proving the effectiveness of the new teaching method."
Alternatives: "an instance demonstrating" or "a case illustrating".
The influence of the truncated coefficients will be considered and its effects will be demonstrated by an example proving the robustness of the transformed function.
At some point Popper, pressed to give an example proving his claim that there were valid moral rules, said something like, "Thou shalt not threaten a visiting lecturer with a poker".
As an example proving this argument, Germany has emerged as a hegemonic power in the wake of the Eurozone crisis (Bulmer, 2014; Streeck, 2015), and this hegemonic position immediately triggered national sentiments in the Mediterranean members (Hedlund and Aline Regina Alves, 2017).
Finally, an example proves the feasibility and effectiveness of the method.
Most of his research combines a theoretical component (for example, proving the soundness of an analysis technique) and a practical component, which often involves the implementation and measurement of advanced program analysis algorithms.
It is in our hands to become a successful green business example, proving that sustainable palm oil can help protect the rainforest while remaining profitable.
Finally, an illustrative example proves that the proposed consensus method is feasible and effective, and a detailed comparison and analysis highlights the advantages and characteristics of this method.
Finally, an illustrative example proves that the proposed consensus model is feasible and effective, and a detailed discussion highlights the advantages of this model for managing large-group emergency decision-making problems.
A numerical example proves that this procedure reduces the model and assures the stability, controllability and observability of the final reduced order model (FROM).
Enron's collapse, for example, proved a fantastic buying opportunity because the agencies, fearful of more scandal, slashed corporate-bond ratings.
"Instant Karma," for example, proves a perfect comment on the fracas caused by Lennon's 1966 remark that the Beatles were bigger than Jesus; nothing in the Beatles' songbook captures quite the same feeling.
