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
a robust proof of
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "a robust proof of" is correct and usable in written English.
It can be used when discussing evidence or arguments that strongly support a claim or theory. Example: "The researchers provided a robust proof of their hypothesis through extensive experimentation and data analysis."
✓ Grammatically correct
Science
News & Media
Academia
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
1 human-written examples
The audio speaker represents a robust proof of concept for ionic conductors because producing sounds across the entire audible spectrum requires both high voltage (to squeeze hard on the rubber layer) and high-speed actuation (to vibrate quickly)—two criteria which are important for applications but which would have ruled out the use of ionic conductors in the past.
Academia
Human-verified similar examples from authoritative sources
Similar Expressions
59 human-written examples
The global concordance of analyses gene-by-gene and by a multi-dimensional perspective is a robust proof-of-concept of the existence of strict links between DNA repair and the inflammatory response in terms of gene expression.
Science
Indeed, this provides a robust proof-of-principle validation on the use of zebrafish xenografts as in vivo surrogate or Wnt-regulated in vitro differentiation.
Science
Robust proof-of-concept initiatives in the U.S. and abroad demonstrate that the challenges of transitioning to bundled payments are already being overcome.
News & Media
The authors provide robust proof-of-concept examples of bundled payment initiatives in the U.S. and abroad, address the challenges of transitioning to bundled payments, and respond to critics' concerns about obstacles to implementation.
News & Media
The small number of RCTs in CCM, rigorous Data and Safety Monitoring Board processes, and/or robust proof-of-concept RCTs could explain the low number of harmful RCTs in CCM.
Science
Services must have increasingly robust proof of their impact or else risk losing their funding.
News & Media
Phase III testing is intended to provide robust proof of efficacy, but is also labour-intensive and expensive: one study estimates that costs range from US$11.5 million to $52.9 million (A. Sertkaya et al. Clin. Trials 13, 117 126; 2016), depending on the field, and this is likely to be higher for a cutting-edge cellular therapy.
Science & Research
About the only aspect of SBS that really does work like true BRT is the rapid boarding through multiple doors – and while that, it must be said, is very pleasant indeed, in itself it hardly constitutes robust proof of the concept's viability on North American streets.
News & Media
While optimism is rising on reports of a recovering economy, "there isn't a whole host of robust proof," said Ed Tonnessen, executive vice president at Albert B. Ashforth Inc. "It's circumstantial, in people's bones".
News & Media
But he or she should expect to face a robust standard of proof before their ideas take hold.
News & Media
Expert writing Tips
Best practice
Use "a robust proof of" when you want to emphasize that the evidence supporting a claim is not only present but also strong and resilient to scrutiny.
Common error
Avoid using "a robust proof of" when the evidence is preliminary or suggestive rather than definitive. It's better to opt for phrases that reflect a degree of certainty aligned with the actual evidence.
Source & Trust
87%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "a robust proof of" functions as a noun phrase, typically acting as the subject complement or object of a sentence. It highlights the presence of strong and reliable evidence. As Ludwig AI confirms, the phrase is grammatically correct and usable.
Frequent in
Science
35%
News & Media
33%
Academia
32%
Less common in
Formal & Business
0%
Encyclopedias
0%
Wiki
0%
Ludwig's WRAP-UP
In summary, "a robust proof of" is a grammatically sound phrase used to denote strong and reliable evidence. As Ludwig AI confirms, it's most frequently found in scientific, academic, and news contexts. When using this phrase, ensure that the evidence you're referring to is indeed strong and capable of withstanding scrutiny. Alternatives include phrases like "strong evidence for" or "compelling demonstration of", depending on the specific nuance you wish to convey.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
strong evidence for
Focuses on the strength of the evidence supporting a claim, rather than the concept of a formal proof.
compelling demonstration of
Highlights the convincing nature of the demonstration.
solid validation of
Emphasizes the act of confirming or supporting the truth or accuracy of something.
definitive confirmation of
Implies a final and unquestionable verification.
conclusive substantiation of
Suggests the provision of strong evidence to support a claim or theory.
irrefutable attestation to
Indicates undeniable proof or evidence.
incontrovertible verification of
Highlights the inability to dispute the verification.
substantial backing for
Suggests significant support or evidence for an idea or proposal.
powerful justification for
Emphasizes the strength of the reasons or evidence supporting something.
affirmative validation of
Underscores a positive and confirming validation.
FAQs
How can I use "a robust proof of" in a sentence?
You can use "a robust proof of" to indicate strong evidence supporting a claim. For example, "The clinical trial provided "a robust proof of" the drug's efficacy".
What are some alternatives to "a robust proof of"?
Alternatives include "strong evidence for", "compelling demonstration of", or "solid validation of", depending on the specific nuance you want to convey.
Is it appropriate to use "a robust proof of" in formal writing?
Yes, "a robust proof of" is suitable for formal writing, especially in scientific, academic, or professional contexts where strong evidence is being presented.
How does "a robust proof of" differ from "a proof of concept"?
"A robust proof of" indicates strong evidence supporting a claim, while "a proof of concept" demonstrates the feasibility of an idea or technology. They serve different purposes in argumentation and development.
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
87%
Authority and reliability
4.1/5
Expert rating
Real-world application tested