as we demonstrated

USAGE SUMMARY

The phrase "as we demonstrated" is correct and usable in written English.
It can be used when referring to a previous explanation or example that illustrates a point or concept. Example: "The results were consistent with our hypothesis, as we demonstrated in the earlier section of the report."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

As we demonstrated with the Olympic Games, we can deliver these big projects actually sometimes under budget.

The Guardian

Further studies are therefore required to conclusively determine whether this enzyme should also be considered as a minor virulence factor for animals, as we demonstrated here for amoebae.

Nature

However, as we demonstrated here, virome assembly remains complicated and in many cases it yields chimeric contigs, which hide natural microdiversity (Fig. 6).

Nature

As we demonstrated more than five years ago, Rove took Obama's quotes out of context and twisted their meaning in order to build a tendentious case.

The Washington Post

However, this isn't always that case, as we demonstrated in class with Braess's Paradox, which is also explained succinctly on Wikipedia.

Cornell University

That work may not be on television right now, but as we demonstrated in reversing the spread of Ebola, it can save more lives than anything else we can do.

The New York Times

'As we demonstrated with fatty chicken,' Professor Crawford says, 'feed is one factor in this enormous disproportion in the calorific value coming from protein and the calorific value coming from fat.

The Guardian - Lifestyle

Finally, as we demonstrated in Figs 7 and S8, combining the tissue-specific modules with the interactome allowed us to filter out the less relevant disease genes for arthritis and macular degeneration.

Nature

Furthermore, as we demonstrated previously, the IrisPlex eye colour prediction system provides reliable results without the need for knowledge on the bio-geographic ancestry of the sample donor.

Forensic Science International: Genetics

You can say the rest was history, as we demonstrated that there was indeed an important role for an organization such as ACAA to play in reconnecting Asian alumni to Columbia.

Columbia University

Importantly, as we demonstrated in Sect.

The Journal of Mathematical Neuroscience (JMN)

Expert writing Tips

Best practice

When using "as we demonstrated", ensure the reader can easily locate the prior demonstration you're referencing.

Common error

Avoid using "as we demonstrated" excessively in passive constructions. Opt for active voice to make your writing more direct and engaging. For example, instead of "it was demonstrated by us", say "as we demonstrated".

Linguistic Context

The phrase "as we demonstrated" functions as an explicit backward reference, directing the reader to previously presented evidence or examples. As Ludwig AI confirms, it serves to strengthen an argument by grounding it in prior demonstrations.

Expression frequency: Very common

Frequent in

Science

49%

News & Media

28%

Academia

12%

Less common in

Formal & Business

7%

Encyclopedias

2%

Wiki

2%

Ludwig's WRAP-UP

In summary, "as we demonstrated" is a versatile phrase used to reference prior evidence and strengthen arguments across various formal contexts. Ludwig AI indicates that the phrase is grammatically sound and very common. While suitable for academic, scientific, and news reporting, alternatives like "as we showed" or "as our findings indicate" may be more appropriate depending on the specific situation. Remember to ensure clarity by making the referenced demonstration easily accessible to the reader and avoid overuse in passive constructions to maintain a direct and engaging writing style.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

as we have shown

Replaces "demonstrated" with "shown", providing a simpler and more direct alternative while retaining the same meaning.

as our findings indicate

Focuses on the results or data leading to the demonstration, highlighting the investigative aspect.

as the study indicates

Similar to "as our findings indicate" but refers to study.

as the evidence suggests

Emphasizes the role of evidence in supporting the claim, suitable for more formal or scientific contexts.

as we have previously established

Highlights that the demonstration is not new and has been confirmed before. It is similar to saying it is a well-known truth.

as it has been evidenced

Passive voice construction emphasizing the established nature of the evidence.

as has been proven

Emphasizes that something has been definitively proven, indicating a high degree of certainty.

as this illustrates

Shifts the focus to the illustrative power of the example rather than the act of demonstrating.

for example

Introduces a specific instance serving as a demonstration, suitable for less formal contexts.

to illustrate this point

Directly signals the intention to clarify the argument through illustration, suitable for persuasive writing.

FAQs

How can I use "as we demonstrated" in a sentence?

Use "as we demonstrated" to refer back to a point, experiment, or data you've already presented. For instance, "The new method is more efficient, as we demonstrated with our prior case study."

What can I say instead of "as we demonstrated"?

You can use alternatives like "as we showed", "as we illustrated", or "as our findings indicate depending on the specific context.

Is "as we demonstrated" formal or informal?

"As we demonstrated" is generally suitable for formal and semi-formal writing, such as academic papers, reports, and business communications. However, in very informal contexts, simpler phrases might be preferred.

What's the difference between "as we demonstrated" and "as we found"?

"As we demonstrated" implies a deliberate presentation of evidence or proof, while "as we found" suggests a discovery or observation. Use "as we demonstrated" when you've intentionally shown something to be true, and "as we found" when you're reporting a result.