Used and loved by millions
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
as demonstrated here
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "as demonstrated here" is correct and usable in written English.
It can be used to refer to an example or evidence that has been presented in the current context or document. Example: "The results of the experiment were consistent with our hypothesis, as demonstrated here in the data charts."
✓ Grammatically correct
Science
News & Media
Formal & Business
Alternative expressions(20)
as shown here
as illustrated here
as evidenced herein
the evidence suggests
this confirms
as delineated here
as validated here
as promised here
as seen here
as read here
as delimited here
as defined here
as demonstrated in this study
as evidenced here
as shown here from
as happened here
as shown in this document
as has happened here
as in this dish
as in this study
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
60 human-written examples
As demonstrated here, the technology seems whiz-bang but unthreatening.
News & Media
Clinton was not far off being a great President, partly for the policies but, as demonstrated here in spades, mostly for his blinding intelligence and charisma.
News & Media
Arias in "Lucio Silla" are extremely long, but, as demonstrated here, they can work when imaginatively sung by first-rate singers thoughtfully directed.
News & Media
As demonstrated here, a rough estimate based on Eq. (13) does in fact result in very good performance.
As demonstrated here, a large body of evidence indicates that binge drinkers are not highly-responsive to increased prices.
Science
In contrast, images compressed by JPEG or JPEG2000 at the same rate of compression show significant degradation as demonstrated here.
Counter-intuitively, instead of protecting the ductile substrate, a brittle film can cause its premature fracture, as demonstrated here experimentally.
Science
Such theoretical models can be employed as simple yet effective design guidelines for real systems as demonstrated here.
The inclusion of hydrogen in the background gas, as demonstrated here, can therefore be viewed as an important experimental parameter for the development of such materials and devices.
Science
The results indicate that quantitative analysis of variant pairing, as demonstrated here, may facilitate martensite characterization in Fe C alloys as well as in other alloy systems.
Science
Technically, this can be accomplished by the alternate use of room-temperature electron irradiation and a separated heat treatment, as demonstrated here via in-situ transmission electron microscopy.
Science
Expert writing Tips
Best practice
Use "as demonstrated here" to clearly signal that you are about to provide evidence or an example that supports your claim. Ensure the evidence is directly relevant and easily understood.
Common error
Avoid using "as demonstrated here" if the demonstration is not immediately apparent or if the reader needs to search for the supporting evidence. Always ensure a direct and obvious connection between the phrase and the example.
Source & Trust
83%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "as demonstrated here" serves as an adverbial phrase, modifying the main clause by indicating that evidence or an example is being provided to support a claim. Ludwig AI confirms its widespread usage and grammatical correctness.
Frequent in
Science
67%
News & Media
12%
Formal & Business
3%
Less common in
Encyclopedias
0%
Wiki
0%
Reference
0%
Ludwig's WRAP-UP
In summary, "as demonstrated here" is a versatile and grammatically sound phrase that effectively introduces supporting evidence or examples. As Ludwig AI highlights, it's prevalent in scientific and academic writing due to its formality and focus on empirical proof. When employing this phrase, ensure the demonstration is clear and immediately follows. Alternatives such as "as shown here" or "as illustrated here" can be used for similar effect.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
as shown in this instance
Replaces "demonstrated" with "shown" and uses "in this instance" to emphasize the specific example.
as illustrated in this case
Substitutes "demonstrated" with "illustrated", highlighting the visual aspect of the evidence, and uses "in this case" for specificity.
as evidenced herein
Replaces "demonstrated here" with a more formal and concise phrase, "evidenced herein", suitable for academic or legal contexts.
as this exemplifies
Focuses on the act of exemplifying, indicating that the current example is representative of a broader principle or trend.
as this proves
Emphasizes the conclusive nature of the evidence, asserting that it provides definitive proof of a particular point.
as this indicates
Suggests that the evidence points towards a particular conclusion, without necessarily providing absolute proof.
as we've established
Refers to something already proven or accepted in the current context, indicating a shared understanding.
this clearly indicates
Adds emphasis to the indication being given, making it clear and plain what the demonstration points to.
the evidence suggests
Highlights the suggestive nature of the evidence, where it leans towards a specific conclusion.
this confirms
Highlights the evidence solidifying something already suspected or preliminarily proven.
FAQs
How can I use "as demonstrated here" in a sentence?
Use "as demonstrated here" to introduce an example or evidence that supports your statement. For example, "The model is highly effective, as demonstrated here by its performance on real-world data."
What are some alternatives to "as demonstrated here"?
You can use alternatives like "as shown here", "as illustrated here", or "as evidenced herein" depending on the context.
Is "as demonstrated here" formal or informal?
"As demonstrated here" is generally considered neutral to formal, suitable for academic, scientific, and professional writing. While not overly informal, it maintains clarity and directness.
When should I avoid using "as demonstrated here"?
Avoid using "as demonstrated here" if the evidence or example is not immediately clear or directly follows the phrase. It's crucial that the demonstration is easily accessible and understandable to the reader; otherwise, it may weaken your argument.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
83%
Authority and reliability
4.5/5
Expert rating
Real-world application tested