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
we have demonstrated
Grammar usage guide and real-world examplesUSAGE SUMMARY
"we have demonstrated" is correct and usable in written English.
It is a past tense verb that typically indicates that something has been shown to be true or proven. You can use this phrase to explain something that has already been established through experimentation, observation or research. For example: "We have demonstrated that increasing the temperature of water will cause it to boil."
✓ Grammatically correct
Science
News & Media
Formal & Business
Alternative expressions(20)
we have shown
we have proven
we have established
we have confirmed
we have illustrated
we have determined
we have ascertained
it has been demonstrated
the evidence demonstrates
our findings indicate
we have asserted
we have translated
we have declared
we have designated
we have formulated
we have validated
we have reaffirmed
we have incorporated
we have educated
we have participated
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
And we have demonstrated that fact.
News & Media
We have demonstrated that:.
Science
"I think we have demonstrated it now.
News & Media
"But at least we have demonstrated that it is possible".
News & Media
We have demonstrated an excellent level of safety.
News & Media
Recently, we have demonstrated that intracerebroventricular (i.c.v).
In summary, we have demonstrated proton-driven plasma wakefield acceleration.
Science & Research
We have demonstrated Linc02527 promoted autophagy in vitro.
Science & Research
We have demonstrated that globular structures form the nanofiber structures.
Science
"Stealing encryption keys isn't something we have demonstrated in this context yet, but we have demonstrated that the underlying side-channels are capable of that," says Tromer.
News & Media
We have demonstrated that Sdu_TLP is a 5-hydroxyisourate hydrolase.
Science
Expert writing Tips
Best practice
Use "we have demonstrated" to clearly and confidently present findings that have been rigorously tested or proven. Ensure the subsequent statement directly reflects the demonstrated result.
Common error
Avoid using "we have demonstrated" when the evidence is preliminary or suggestive rather than conclusive. Opt for phrases like "we have observed" or "our results suggest" to reflect the appropriate level of certainty.
Source & Trust
83%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "we have demonstrated" functions as a verb phrase used to introduce a statement or finding that has been proven or validated through evidence, experimentation, or rigorous analysis. Ludwig AI confirms its grammatical correctness and usability.
Frequent in
Science
67%
News & Media
27%
Formal & Business
6%
Less common in
Academia
0%
Encyclopedias
0%
Wiki
0%
Ludwig's WRAP-UP
In summary, the phrase "we have demonstrated" is a grammatically correct and widely used verb phrase in written English. As Ludwig AI confirms, it signifies that something has been proven true. It's most frequently found in scientific and news contexts, conveying a sense of authority and evidence-based findings. While alternatives like "we have shown" or "we have proven" exist, "we have demonstrated" is particularly effective when emphasizing rigorous support for a claim. When using this phrase, ensure that the subsequent statement directly reflects the demonstrated result and avoid overstating the strength of the evidence.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
we have shown
Slightly less formal; implies presentation rather than proof.
we have proven
Stronger emphasis on conclusive evidence.
we have established
Focuses on setting a firm basis or foundation.
we have confirmed
Highlights the verification of something already suspected.
we have illustrated
Implies providing an example or visual aid.
we have determined
Emphasizes the process of reaching a conclusion through investigation.
we have ascertained
Highlights the discovery of something through careful investigation.
it has been demonstrated
Changes the focus to a passive voice.
the evidence demonstrates
Shifts the subject to the evidence itself.
our findings indicate
Highlights what the findings suggest rather than a definitive proof.
FAQs
How can I use "we have demonstrated" in a sentence?
Use "we have demonstrated" to introduce a finding that has been proven through evidence or experimentation. For instance, "We have demonstrated that increased exercise improves cardiovascular health."
What are some alternatives to "we have demonstrated"?
You can use alternatives such as "we have shown", "we have proven", or "we have established" depending on the context.
When is it appropriate to use "we have demonstrated"?
It's appropriate when you want to emphasize that you have definitively shown something to be true based on solid evidence. Be cautious not to use it when the evidence is only suggestive or preliminary.
Is "we have demonstrated" formal or informal?
"We have demonstrated" is generally considered a formal phrase suitable for academic, scientific, or professional contexts. In more informal settings, you might opt for a simpler alternative like "we've shown".
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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