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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
proof of the fact
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "proof of the fact" is correct and usable in written English.
It can be used when you want to emphasize evidence or verification of a specific statement or claim. Example: "The report provided proof of the fact that the project was completed ahead of schedule."
✓ Grammatically correct
Science
News & Media
Encyclopedias
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
48 human-written examples
As living proof of the fact that a female celebrity can use her image and her beauty to say something more interesting and more genuinely empowering than "women are beautiful – like, just look at my breasts!"* Beyoncé is, to use the most overused word of 2016, an inspiration.
News & Media
"This is the proof of the fact that the Mafia is dynamic and able to interpret the new needs of our society," said Francesco Forgione, President of the parliamentary Anti-Mafia Commission in the previous government and author of the book "Mafia Exports".
News & Media
The office of Prime Minister Benjamin Netanyahu reported Friday that during a meeting with Representative Mike Rogers, a Michigan Republican who heads the intelligence committee, Mr. Netanyahu said, "Just yesterday, we received additional proof of the fact that Iran is continuing to make accelerated progress toward achieving nuclear weapons while totally ignoring international demands".
News & Media
Even some of America's home-grown would-be Microsofts now list not in New York, but overseas, especially on London's Alternative Investment Market.It used to be taken for granted in the United States that the country's stockmarkets were the best-regulated in the world, and that their attraction to overseas companies was proof of the fact.
News & Media
Transference is a proof of the fact that adults have not overcome their former childish dependence; it coincides with the force which has been named "suggestion"; and it is only by learning to make use of it that the physician is enabled to induce the patient to overcome his internal resistances and do away with his repressions.
Encyclopedias
"This is proof of the fact that UKIP is a hideous, racist, xenophobic, Islamophobic party.
News & Media
Human-verified similar examples from authoritative sources
Similar Expressions
11 human-written examples
"The tenant should have proof of the facts he alleges, such as testimony or documents, and proof of the value of the property that was stolen," Mr. Karlsson said.
News & Media
Crabbé [1991], [1994] has given two proofs of the fact that SF (NF with extensionality dropped altogether) admits cut-elimination.
Science
Bolzano's idea of an objective order among truths has its origin in the Aristotelian distinction between proofs of the fact and those that yield the reason of the fact.
Science
Vasquez and Fogg had cited as proof of arson the fact that the front door's aluminum threshold had melted.
News & Media
We note that, in the proof above of the fact that (mu < mu ^0(theta,a,b)) implies (49), the condition (f not equiv 0) is not needed.
Expert writing Tips
Best practice
When using "proof of the fact", ensure that the "fact" is indeed verifiable and not merely an opinion or assumption. Provide concrete evidence to support your claim.
Common error
Avoid using "proof of the fact" when you only have suggestive evidence. Using weaker terms like "indication of" or "suggests that" can make your writing more precise and credible.
Source & Trust
83%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "proof of the fact" functions as a noun phrase that introduces or highlights evidence supporting a statement. As Ludwig AI's analysis of the examples shows, it is used to assert the validity or truth of a particular claim.
Frequent in
Science
65%
News & Media
25%
Encyclopedias
10%
Less common in
Wiki
0%
Formal & Business
0%
Social Media
0%
Ludwig's WRAP-UP
In summary, the phrase "proof of the fact" is a grammatically sound and usable phrase in English. As confirmed by Ludwig AI, it serves to underscore evidence supporting a claim, most commonly in scientific and news contexts. While the phrase isn't exceptionally common, it appears frequently enough to be considered a standard expression. When using "proof of the fact", ensure that your claim is genuinely substantiated and that you're not overstating the evidence's strength. Alternatives such as "evidence of the fact" or "demonstration of the truth" can offer stylistic variety.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
demonstration of the truth
Replaces "fact" with "truth" and "proof" with "demonstration", focusing on the verity of the statement.
evidence of its validity
Substitutes "proof" with "evidence" and "fact" with a more formal "its validity", indicating substantiation.
confirmation of the matter
Replaces "proof" with "confirmation" and "fact" with "matter", suggesting a verification of a subject.
verification of the claim
Changes "proof" to "verification" and "fact" to "claim", highlighting an act of confirming an assertion.
substantiation of the point
Replaces "proof" with "substantiation" and "fact" with "point", emphasizing evidential support of an argument.
corroboration of the statement
Changes "proof" to "corroboration" and "fact" to "statement", indicating supportive evidence of a declaration.
validation of the data
Substitutes "proof" with "validation" and "fact" with "data", suggesting the authentication of information.
testimony to its reality
Replaces "proof" with "testimony" and "fact" with "its reality", providing evidence towards its existence.
attestation of its accuracy
Changes "proof" to "attestation" and "fact" to "its accuracy", highlighting the confirmation of precision.
vindication of the argument
Replaces "proof" with "vindication" and "fact" with "argument", indicating justification of an assertion.
FAQs
How can I use "proof of the fact" in a sentence?
You can use "proof of the fact" to introduce evidence that supports a statement. For example, "The data presented serves as "proof of the fact" that climate change is accelerating."
What are some alternatives to saying "proof of the fact"?
Alternatives include phrases like "evidence of the fact", "demonstration of the truth", or "confirmation of the matter", which can add variety to your writing.
Is "proof of the fact that" grammatically correct?
Yes, "proof of the fact that" is grammatically correct. It's used to introduce a clause that provides the specific fact being proven. For example, "This is "proof of the fact" that the theory holds true."
What is the difference between "proof of the fact" and "evidence of the fact"?
"Proof of the fact" implies a conclusive demonstration, while "evidence of the fact" suggests supporting data that may not be entirely definitive. Proof is stronger and more conclusive than evidence.
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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
83%
Authority and reliability
4.5/5
Expert rating
Real-world application tested