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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 have established
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "as we have established" is correct and usable in written English.
It can be used to refer back to points or conclusions that have already been discussed or agreed upon in a conversation or text. Example: "As we have established, the project deadline is next Friday, and all team members must submit their reports by then."
✓ Grammatically correct
News & Media
Science
Alternative expressions(17)
as previously stated
as mentioned before
as noted earlier
it has been established that
as demonstrated above
given the foregoing
as previously noted
as we discussed earlier
as we have acknowledged
as we have achieved
as we have stated
as we have ascertained
as we have learned
as we have reported
as we have known
as we have found
as we have derived
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
26 human-written examples
Which, as we have established, is fine by me.
News & Media
As we have established, the sausages are the star of the show.
News & Media
Indeed – as we have established – as a gay man I share many of the same enemies.
News & Media
Surely not Israel for, as we have established, Israel can and does strike from the air.
News & Media
"We will hold them accountable for teaching the arts just as we have established holding them accountable for English and math".
News & Media
"Any move to increase trade between Hong Kong S.A.R. and China, benefits both economies and therefore benefits Citigroup, as we have established businesses in both China and Hong Kong," he said, referring to Hong Kong's status as a special administrative region.
News & Media
Human-verified similar examples from authoritative sources
Similar Expressions
34 human-written examples
Which, as we've established, is everyone.
News & Media
So, as we've established, film fliers are ephemeral.
Academia
And, as we've established, with sacks in existence, there really is.
News & Media
As we've established, dressing when you're a dad should all be about mess management.
News & Media
As we've established, it's perfect for the less energetic holidaymaker.
News & Media
Expert writing Tips
Best practice
Use "as we have established" to smoothly transition to a new point that builds upon a previously discussed idea, ensuring coherence and clarity for your audience.
Common error
Avoid using "as we have established" in casual conversations or informal writing, as it can sound overly formal or pretentious. Opt for simpler alternatives like "as we discussed" or "as I mentioned".
Source & Trust
86%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "as we have established" functions as a discourse marker, signaling a connection between a current statement and prior information. It works to remind the audience of a previously agreed-upon point. As Ludwig AI confirms, this phrase is grammatically sound and widely used.
Frequent in
News & Media
53%
Science
43%
Formal & Business
3%
Less common in
Academia
1%
Reference
0%
Encyclopedias
0%
Ludwig's WRAP-UP
In summary, the phrase "as we have established" is a grammatically correct and frequently used discourse marker that serves to connect current information with previously discussed points. Ludwig AI confirms its validity and usefulness across a variety of contexts, particularly in news, media, and scientific writing. While highly useful for clarity and coherence, remember that simpler alternatives may be more appropriate in informal settings. By understanding its function and usage patterns, you can effectively incorporate "as we have established" into your writing to create strong, logical arguments.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
as we've already discussed
Highlights the discussion aspect, making it suitable for conversational contexts.
as previously stated
Replaces 'established' with 'stated', implying a formal declaration.
as noted earlier
Emphasizes the act of noting something previously, which works well in written material.
as mentioned before
Uses 'mentioned' instead of 'established', suggesting a less formal prior reference.
in light of what we've covered
Suggests summarizing previous information as a foundation for further points.
it has been established that
Puts more emphasis on the fact that something is already generally known and accepted.
based on our earlier findings
Highlights that the current point is based on conclusions from previous research or analysis.
as demonstrated above
Implies the establishment was through a demonstration or proof.
pursuant to our prior discussion
Adds a formal or legal tone, indicating action following a discussion.
given the foregoing
Uses formal language, suitable in legal or academic documents, to reference what precedes it.
FAQs
How can I use "as we have established" in a sentence?
Use "as we have established" to refer back to a point or fact that has already been discussed and agreed upon. For example: "As we have established, the budget is limited, so we need to prioritize our spending."
What are some alternatives to "as we have established"?
You can use alternatives like "as previously stated", "as mentioned before", or "as we've already discussed" depending on the context.
Is it appropriate to use "as we have established" in formal writing?
Yes, "as we have established" is highly appropriate in formal writing, particularly in academic papers, reports, and business documents, where it helps to create a logical and coherent argument.
What is the difference between "as we have established" and "as we will establish"?
"As we have established" refers to something that has already been proven or agreed upon, while "as we will establish" indicates something that will be proven or explained later in the text.
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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
86%
Authority and reliability
4.5/5
Expert rating
Real-world application tested