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 we showed
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "as we showed" is correct and usable in written English.
It can be used when referring back to a previous demonstration or explanation provided in the text. Example: "The results align with our hypothesis, as we showed in the earlier section of this paper."
✓ Grammatically correct
News & Media
Science
Academia
Alternative expressions(20)
as we demonstrated
as we illustrated
as we previously mentioned
as we have demonstrated
as we pointed out earlier
according to our analysis
as we proved
as we suggested
as we characterized
as we reported
as we assumed
as we expressed
as we indicated
as we knew
as we pointed
as we confirmed
as we acknowledged
as we displayed
as we revealed
as we discovered
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 WE showed in a previous blog post, Europe went through a period of astonishing growth after about 1760.
News & Media
"I'm not carrying any hopes, as we showed versus Slovakia, it is all about the team.
News & Media
"You can concede a goal when you least expect it, as we showed," said Luis Enrique.
News & Media
"We had a lot of solidarity as we showed in the final.
News & Media
But, as we showed 200 years ago, we can change what is in our laws.
News & Media
Finally, it was an ethical success as we showed above in its compliance with the IEEE code of ethics.
Academia
But as soon as we showed that we could play at their level, the fans got behind us".
News & Media
Lu misinterpreted several recent papers to revive the argument, but as we showed in our paper, it still remains incorrect.
News & Media
As we showed above, recursive production of Fo portion of FoF1 was definitely observed, though it did not enhance exponentially.
Science & Research
As we showed above, cholinergic facilitation of lateral inhibition in rodent neocortex is mediated by heteromeric nAChRs that depolarize MCs.
Science & Research
And this change in amplitude, in fact, corresponded as we showed as the discussion went along, to the Fourier transform of the system impulse response.
Expert writing Tips
Best practice
Use "as we showed" to refer back to specific data, results, or arguments presented earlier in your text to reinforce your current point.
Common error
Avoid using "as we showed" if you haven't actually presented the relevant information or evidence in the current document. Ensure the reference is clear and accessible to the reader.
Source & Trust
84%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "as we showed" functions as an anaphoric marker, directing the reader's attention back to previously presented information or evidence within the text. As Ludwig AI confirms, this usage is grammatically correct and common.
Frequent in
Science
33%
News & Media
55%
Academia
12%
Less common in
Formal & Business
0%
Encyclopedias
0%
Wiki
0%
Ludwig's WRAP-UP
In summary, the phrase "as we showed" is a grammatically sound and frequently used construction to reference prior information within a text. Ludwig AI confirms its correctness, while the variety of examples demonstrate its applicability across different domains. Its primary function is to reinforce arguments by linking them back to already presented data or analysis. While its register is generally neutral to formal, it commonly appears in scientific, news, and academic contexts, highlighting its versatility in various writing styles. When using this phrase, ensure that the reference is clear and that the information being referred to has indeed been previously presented.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
as we have demonstrated
This alternative uses a more formal verb, 'demonstrated', emphasizing a clear and conclusive presentation of evidence.
as we have illustrated
This option uses 'illustrated', suggesting the point was made through examples or visual aids.
as we previously mentioned
This phrase focuses on the act of mentioning something before, suitable when the information wasn't necessarily a demonstration.
as we pointed out earlier
This alternative is best used when referring to a specific observation or argument made earlier in the text.
as our results indicate
This is a more scientific and data-driven way to refer to what has been shown through research outcomes.
as evidenced by our findings
This phrase emphasizes the role of findings or results as proof of a claim.
according to our analysis
This suggests the point being made is derived from a specific analytical process.
in our prior discussion
Suitable if the point was covered in a less formal discussion, rather than a formal demonstration.
as confirmed by our study
This phrase highlights that a claim has been verified through a study or experiment.
consistent with our earlier explanation
This option highlights the consistency between the current statement and a previous explanation.
FAQs
How can I use "as we showed" in a sentence?
Use "as we showed" to refer back to information, data, or evidence that you have already presented within the current text. For example: "The results align with our hypothesis, "as we showed" in the previous section."
What is a formal alternative to "as we showed"?
For a more formal tone, you can use phrases such as "as we demonstrated", "as we illustrated", or "as we previously mentioned".
Is it appropriate to use "as we showed" in academic writing?
Yes, "as we showed" is appropriate for academic writing, particularly when referring back to your own findings or analyses within the paper. Ensure that the reference is clear and specific.
What is the difference between "as we showed" and "as we will show"?
"As we showed" refers to information that has already been presented, while "as we will show" indicates information that will be presented later in the text. Using the correct phrase is crucial for clarity.
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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
84%
Authority and reliability
4.5/5
Expert rating
Real-world application tested