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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 establish that
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "We establish that" is correct and usable in written English.
It can be used when presenting findings or conclusions in a formal context, such as academic writing or reports. Example: "In our research, we establish that there is a significant correlation between exercise and mental health."
✓ Grammatically correct
Science
News & Media
Formal & Business
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 establish that F is a contraction mapping.
We establish that Weibull distribution suitably models mid-frequency coefficients well and use it for hiding copyright data.
We establish that information reduction by individuals is the critical issue for the severity of recall measurement error.
Science
We establish that canonical Wnt3a ligand directly regulates PEDF levels.
We establish that cadherin-23 directly binds to the tail of myosin VIIa.
Science
We establish that inhibitors of Aβ42 fibrillization do not necessarily inhibit Aβ43 fibrillization.
Science
We establish that overexpression of srap-1, a single gene present in these duplications, mediates the suppression.
Science
Now, we establish that ϕ is a contraction mapping.
The formula is valid only if we establish that Tx ∈ χ whenever x ∈ χ.
Through iteration, we establish that θ ∈ C γ with γ > 1.
Science
If we establish that policy, I get to sleep till noon every morning.
News & Media
Expert writing Tips
Best practice
Use "We establish that" to clearly and directly state a key finding or conclusion in your research or analysis. Ensure that the statement is supported by strong evidence and aligns with the overall argument of your work.
Common error
Avoid using "We establish that" when the evidence is only suggestive or preliminary. Instead, use phrases like "The evidence suggests that" or "Our findings indicate that" to accurately reflect the strength of your evidence.
Source & Trust
82%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "We establish that" functions as a declarative statement, introducing a key finding or conclusion. As Ludwig AI confirms, it's used to present information as a result of analysis or investigation, similar to how a thesis statement functions.
Frequent in
Science
66%
News & Media
18%
Formal & Business
16%
Less common in
Academia
0%
Wiki
0%
Reference
0%
Ludwig's WRAP-UP
In summary, "We establish that" is a phrase used to introduce a key finding or conclusion, primarily in formal and scientific writing. Ludwig AI confirms its correctness and suitability for presenting well-supported assertions. While alternatives like "We demonstrate that" or "We find that" exist, the choice depends on the specific nuance you wish to convey. Remember to reserve this phrase for instances where the evidence is strong and supports a definitive statement. As demonstrated by the examples, this phrase is most commonly used in science, news and media, and formal business contexts.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
We demonstrate that
Focuses on showing or proving something through evidence.
We confirm that
Emphasizes the verification or validation of a previous finding or hypothesis.
We determine that
Highlights the process of reaching a conclusion through investigation or analysis.
We find that
A more general statement indicating a discovery or observation.
We conclude that
Indicates that a judgment or decision has been reached based on evidence.
We prove that
Implies a rigorous and irrefutable demonstration of a fact or principle.
We ascertain that
Emphasizes the effort involved in discovering or establishing something with certainty.
It is evident that
Shifts the focus to the obviousness or clarity of the established fact.
Our analysis shows that
Specifically attributes the finding to a particular method or process.
The evidence suggests that
Presents the established fact as a likely conclusion based on available evidence.
FAQs
How can I use "We establish that" in a sentence?
The phrase "We establish that" is typically used to introduce a key finding or conclusion in a formal context. For example: "We establish that the new model is physically meaningful, conceptually simple, computationally efficient, and mathematically tractable."
What are some alternatives to "We establish that"?
You can use alternatives such as "We demonstrate that", "We confirm that", or "We find that" depending on the nuance you want to convey.
Is it appropriate to use "We establish that" in informal writing?
While grammatically correct, "We establish that" is more suited for formal writing, such as academic papers or reports. In informal contexts, simpler phrases like "We found out that" or "We realized that" might be more appropriate.
What is the difference between "We establish that" and "We assume that"?
"We establish that" indicates a conclusion reached through evidence or analysis, while "We assume that" indicates a starting point or hypothesis that is taken as true without proof.
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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