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 demonstrated before
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "as demonstrated before" is correct and usable in written English.
It can be used to refer back to a previous explanation or example that has already been provided in the text. Example: "The results of the experiment were consistent with the theory, as demonstrated before in our earlier discussion."
✓ Grammatically correct
Science
News & Media
Formal & Business
Alternative expressions(20)
as shown previously
as illustrated earlier
as previously demonstrated
as shown before
as has been shown
as demonstrated previously
as demonstrated earlier
as established previously
as we have shown before
as evidenced earlier
as detailed before
as mentioned earlier
as stated before
as delineated before
as determined before
as argued before
as commented before
as described before
as mentioned before
as pointed before
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
24 human-written examples
Following deafferentation, movements were consistently evoked by electrical stimulation at the expected depths (Supplementary Fig. 4), as demonstrated before (Fig. 1).
Science & Research
As demonstrated before in software or system engineering, a model must be checked and analysed before using it for example for testing a hypothesis, to measure system efficiency and to decide.
Science
This sonication cycle did not significantly affect cells viability as demonstrated before (Freitas et al. 2014).
Science
After 4 to 72 h, the variation is almost negligible, nearly zero, as no saccharides and other compounds leached to the solution, as demonstrated before.
Science
The reason was attributed to the lattice mismatch between InP and ZnS as demonstrated before for CdSe/CdS core/shell QDs [40].
Science
Datasets of fitted values with different numbers of simulations are obtained using a similar method as demonstrated before (data not shown).
Human-verified similar examples from authoritative sources
Similar Expressions
36 human-written examples
The absolute requirement of PrfA for L. monocytogenes virulence has been demonstrated before, as has the requirement for several genes within the PrfA regulon [21], [22], but the explanation of how the regulon determines the effects reported here remains to be determined.
Science
As we have demonstrated before, there was no RVH in our normoxic SERT+ mice.
Science
Indeed, the connection of the S1P pathway with immunologically relevant cellular functions beyond immune cell trafficking has been demonstrated, before, as for example it is involved in the intrinsic modulation of CD4+ T-cell differentiation toward encephalitogenic TH17 cells by influencing intracellular Jak-STAT3 signaling.
It is possible that the compound is predominantly emitted by needles, as has been demonstrated before [ 20, 21], whereas its levels in bark emissions remained below the detection level.
Science
Further research is required to determine whether this means that symptoms were indeed relatively minor or, as has been demonstrated before, that patients minimise and accept their symptoms when they believe they are the inevitable consequences of radiotherapy treatment, of being old or that there is nothing that can be done (Faithfull, 1995).
Science
Expert writing Tips
Best practice
Use "as demonstrated before" to efficiently reference prior explanations or evidence, avoiding redundancy and improving flow within your writing.
Common error
Avoid using "as demonstrated before" excessively. Over-reliance on this phrase can make your writing sound repetitive. Try to rephrase or integrate the information directly into your current statement.
Source & Trust
81%
Authority and reliability
4.3/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "as demonstrated before" functions as an adverbial phrase, modifying a verb or clause by indicating that something has been previously shown or proven. This helps to provide context and avoid repetition. Ludwig AI confirms its grammatical correctness.
Frequent in
Science
71%
News & Media
14%
Formal & Business
14%
Less common in
Encyclopedias
0%
Wiki
0%
Reference
0%
Ludwig's WRAP-UP
In summary, "as demonstrated before" is a grammatically sound adverbial phrase used to efficiently reference prior information. Ludwig AI confirms its correctness and usability. While not exceedingly common, it finds its primary application in scientific and formal writing. When writing, make sure to avoid overusing this phrase, and feel free to use alternatives like ""as previously demonstrated"" or ""as shown before"" to maintain variety and clarity.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
as previously demonstrated
Replaces "before" with "previously", emphasizing that the demonstration occurred at an earlier time.
as has been shown
Uses a more passive voice construction to highlight the action of showing or demonstrating.
as demonstrated earlier
Similar to "as previously demonstrated", but uses "earlier" as the temporal marker.
as proven before
Substitutes "demonstrated" with "proven", suggesting a more definitive level of evidence.
as established previously
Replaces "demonstrated" with "established", implying a solid foundation or acceptance.
as we have shown before
Adds a personal element by specifying that the speaker/writer was involved in the demonstration.
as evidenced earlier
Uses "evidenced" instead of "demonstrated", focusing on the provision of evidence.
as illustrated before
Replaces "demonstrated" with "illustrated", which is suitable when the prior demonstration was visual or descriptive.
as detailed before
Implies that the information was thoroughly explained in a prior instance.
as mentioned earlier
Indicates that the information was brought up previously, although perhaps not with extensive proof or illustration.
FAQs
How can I use "as demonstrated before" in a sentence?
You can use "as demonstrated before" to refer back to a previous explanation or example. For instance, "The effectiveness of this method has been proven, "as demonstrated before" in our earlier study."
What are some alternatives to "as demonstrated before"?
Alternatives include phrases like "as previously demonstrated", "as shown before", or "as has been shown". The choice depends on the specific context and desired level of formality.
Is it better to say "as demonstrated before" or "as demonstrated previously"?
Both "as demonstrated before" and "as demonstrated previously" are correct. "Previously" might slightly emphasize the time aspect, but the difference is subtle.
Can I use "as demonstrated before" in formal writing?
Yes, ""as demonstrated before"" is suitable for formal writing, especially in scientific or academic contexts, as long as it's used judiciously.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
81%
Authority and reliability
4.3/5
Expert rating
Real-world application tested