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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
we have previously established
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "we have previously established" is correct and usable in written English.
You can use it when referring back to information or conclusions that have already been discussed or agreed upon in earlier parts of a text or conversation. Example: "As we have previously established, the results of the experiment indicate a significant correlation between the variables."
✓ Grammatically correct
Science
Alternative expressions(4)
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
We have previously established that M r > 0 and I ′ is negative by definition.
We have previously established a strong association of HLA DR2/5 in ABPA susceptibility.
Science
That is, as we have previously established, she either sticks to her choice or becomes more concerned for health.
Science
The solution of regenerated BMSF was prepared according to a protocol we have previously established (Chirila et al. 2008).
Science
We have previously established high levels of intra-rater reliability for range of motion measured by an experienced examiner.
We have previously established that HCA protects against ventilation-induced lung injury in vivo, potentially via a mechanism involving inhibition of NF-κB signaling.
We have previously established an EST database from fruiting bodies of T. camphorata and sequenced all clones with insert size greater than 0.4 kb (data not shown).
Science
We have previously established the roundworm Caenorhabditis elegans as a model for investigating genetic susceptibilities to seizure-like convulsions in vivo.
Science
We have previously established a thermodynamics-based quantitative model to help design aptamer-based nucleic acid probes by predicting equilibrium concentrations of all interacting species.
For investigating the headache-relevant trigeminal system, we have previously established such a preparation for terminals in the dura mater of the hemisected rodent scull [9], and for the freshly dissected intact rodent trigeminal ganglion [10].
Our lab uses Syrian hamsters to model stress-induced social avoidance, and we have previously established that both inescapable and escapable social defeat result in increased social avoidance when compared with no-defeat controls.
Science
Expert writing Tips
Best practice
When using "we have previously established", ensure that the referenced information is clearly stated and easily accessible to the reader, either within the same document or through a clear citation. This avoids ambiguity and maintains clarity.
Common error
Avoid using "we have previously established" without providing a specific reference or context. Readers might not be familiar with your prior work, leading to confusion or a lack of understanding. Always ensure that the reader can easily find the information being referenced.
Source & Trust
82%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "we have previously established" serves as a transitional device in academic and scientific writing. It indicates that the writer is referring to information, methods, or conclusions that have been presented or validated earlier in the same document or in prior publications. Ludwig's examples illustrate its role in building upon existing knowledge.
Frequent in
Science
100%
Less common in
News & Media
0%
Formal & Business
0%
Encyclopedias
0%
Ludwig's WRAP-UP
In summary, "we have previously established" is a useful phrase to refer to existing knowledge within a text, as stated by Ludwig. According to Ludwig AI, this phrase is grammatically correct. It is prevalent in formal scientific writing. When using this phrase, ensure clarity by providing clear references or context, avoiding vague allusions to prior work. Alternatives include "as previously noted" or "we have already established", offering options for different tones and emphases.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
we have already established
This alternative is more concise, removing "previously" without significant change in meaning.
as previously noted
This option offers a concise and somewhat formal alternative.
as we mentioned earlier
This alternative is a more direct and informal way of referencing prior information.
we demonstrated earlier that
This alternative is more specific about who established the information.
we have shown in the past
This alternative emphasizes the temporal aspect of previous findings.
as demonstrated in earlier research
This alternative emphasizes the broader research context.
it has been shown before
This alternative emphasizes prior research findings.
in our prior work
This alternative focuses on the authors' previous contributions.
prior studies have indicated
This alternative emphasizes the role of previous studies.
it is already known that
This alternative adopts a more passive voice and highlights general knowledge.
FAQs
How can I use "we have previously established" in a sentence?
Use "we have previously established" to refer to information or findings you've already presented, such as, "We have previously established that this gene is linked to the disease."
What's a formal alternative to "we have previously established"?
A more formal alternative includes phrases such as "as previously noted" or "it has been shown before", depending on the specific context and emphasis you wish to convey.
Is "we have previously established" correct, or should I use another phrase?
"We have previously established" is grammatically correct and appropriate for referring to previously mentioned information. However, you might choose alternatives like "we have already established" for brevity or "as we mentioned earlier" for a less formal tone.
What is the difference between "we have previously established" and "we have already established"?
The difference is subtle. "We have already established" is slightly more concise, while "we have previously established" explicitly emphasizes that the establishment occurred in the past. The choice depends on the desired nuance.
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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
82%
Authority and reliability
4.5/5
Expert rating
Real-world application tested