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 established that
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "we have established that" is correct and usable in written English.
It can be used to indicate that a conclusion or understanding has been reached in a discussion or argument. Example: "In our previous discussions, we have established that effective communication is key to team success."
✓ Grammatically correct
News & Media
Science
Alternative expressions(15)
we have determined that
we have concluded that
it is now clear that
we know that
it's clear that
we have shown that
we have ascertained that
it is now understood that
we have confirmed that
the evidence suggests that
the data indicates that
we have done that
we have accepted that
we have discovered that
we have acknowledged that
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
"That's a movement of the people, and we have established that tonight".
News & Media
We have established that test anxiety is a major factor that can impair test performance and lead to underachievement.
Science
We have established that loss of GLI3 repressor impairs ureteric tip cells by reducing Ret and Wnt11 expression.
Science
We have established that this is a Jersey company.
News & Media
O.K., we have established that that was definitely not the glass I was looking for.
News & Media
"We have established that everyone will get paid," Mr. Smellie said.
News & Media
"We have established that our students are interested in these events," he said.
News & Media
"We have established that this was a false alarm and the man is the only suspect.
News & Media
"Currently we have established that the video shows local (Yakutia) residents," interior ministry spokeswoman Irina Volk said in televised remarks.
News & Media
We have established that it was released in good faith and that it was the result of a genuine misunderstanding".
News & Media
We have established that all three women were held in this situation for at least 30 years.
News & Media
Expert writing Tips
Best practice
Use "we have established that" to clearly signal that a key point or premise has been confirmed and will serve as the foundation for further reasoning or discussion. This enhances clarity and coherence in your writing.
Common error
While grammatically sound, avoid using "we have established that" in overly casual settings. It can sound stilted or pretentious where simpler phrases like "we know" or "it's clear" would be more appropriate.
Source & Trust
86%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "we have established that" functions as a declarative statement, signaling that a fact, principle, or understanding has been confirmed or demonstrated. According to Ludwig AI, this phrase is grammatically correct and commonly used. It often introduces a conclusion derived from prior discussion, evidence, or analysis.
Frequent in
Science
42%
News & Media
35%
Formal & Business
1%
Less common in
Encyclopedias
0%
Wiki
0%
Reference
0%
Ludwig's WRAP-UP
In summary, the phrase "we have established that" is a grammatically correct and frequently used expression to signal a confirmed fact or shared understanding. According to Ludwig AI, this phrase is widely applicable across various contexts but is particularly common in scientific and news-related domains. While versatile, it's best suited for formal or analytical writing and should be used judiciously in casual settings. Alternatives such as "we have determined that" or "it is now clear that" may be more appropriate depending on the specific nuance you wish to convey.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
we have determined that
Replaces 'established' with 'determined', suggesting a more definitive finding through investigation.
we have ascertained that
Uses 'ascertained', implying a careful and thorough effort to find something out.
it is now clear that
Shifts the focus to the clarity of the situation, rather than the action of establishing.
it is now understood that
Emphasizes understanding as the outcome, implying collective comprehension.
we have proven that
Highlights the element of proof, indicating a conclusive demonstration.
we have confirmed that
Suggests that something has been validated or verified as true.
we have concluded that
Indicates a judgment or decision has been reached after consideration.
we can now say that
Emphasizes the ability to confidently state something based on prior findings.
the evidence suggests that
Focuses on the evidence leading to a conclusion, rather than the act of establishing.
the data indicates that
Highlights the data as the basis for reaching a conclusion, commonly used in scientific contexts.
FAQs
How can I use "we have established that" in a sentence?
The phrase "we have established that" is used to indicate that a point has been proven or agreed upon. For example, "We have established that regular exercise improves cardiovascular health, so let's discuss specific workout routines."
What are some alternatives to "we have established that"?
You can use alternatives such as "we have determined that", "it is now clear that", or "we have proven that" depending on the context.
Is "we have established that" formal or informal?
The phrase "we have established that" leans towards the formal side, making it suitable for academic papers, reports, and professional communications. In informal settings, consider simpler alternatives like "we know that" or "it's clear that".
What's the difference between "we have established that" and "we have shown that"?
"We have established that" implies that something has been confirmed or agreed upon, while "we have shown that" suggests that something has been demonstrated through evidence or experimentation. The choice depends on whether you're highlighting confirmation or demonstration.
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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