an element of proof

USAGE SUMMARY

The phrase "an element of proof" is correct and usable in written English.
It can be used when discussing evidence or components that contribute to establishing the validity of a claim or argument. Example: "The witness's testimony served as an essential element of proof in the case against the defendant."

✓ Grammatically correct

News & Media

Science

Academia

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

So there's an element of proof of stake involved too, bound up with additional planned characteristics of the Safe Network — related to dynamic membership and sharding (Lambert says MaidSafe has additional whitepapers on both those elements coming soon).

TechCrunch

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

Then the sequence {x n } generated by (3.1) converges strongly to an element of F. Proof.

Fixed Point Theory and Applications

There is an element of social proof that can be borrowed from well-known brands that is passed directly on to your company when you show your visitors that you work with the best.

Forbes

It also has an element of future-proofing.

The Economist

With that admission, Mr. Duncan provided prosecutors with their most important evidence of intent to impede an investigation -- a critical element of proof necessary for a conviction.

The New York Times

The new testing brings an element of modern scientific proof to one murder in a case that seemed likely never to be solved, especially after Mr. DeSalvo was killed in 1973 in prison, where he had been sentenced to life for unrelated sexual assault and robbery charges.

The New York Times

If ∥ x k + 1 − x k ∥ = o ( α k ), and α k = o ( β k 2 ), then the sequence { x k } k = 1 ∞ converges weakly to an element of Γ. Proof (i) Let z ∈ Γ be given.

Fixed Point Theory and Applications

If Ω is nonempty, then the sequence { x n } n = 1 ∞ converges strongly to an element of Ω. Proof Since ϕ is continuous, it follows that ϕ attains maximum (say M) in [ 0, M 1 ] and by our assumption, ϕ ≤ M 0 λ 2, ∀ λ > M 1.

Fixed Point Theory and Applications

Thus, converges weakly to an element of This completes the proof.

Fixed Point Theory and Applications

It follows immediately from Proposition 3.1 that { x n } Δ-converges to an element of F and the proof is finished.

Fixed Point Theory and Applications

She could not perform her full statutory duty until she examined underpayments wherever the coverage extended, because underpayment is an indispensable, albeit not the only, element of proof of violation.

Cornell University

Expert writing Tips

Best practice

Use "an element of proof" when you want to emphasize that a particular piece of evidence is one contributing factor among others, not necessarily the sole determinant.

Common error

Avoid presenting "an element of proof" as conclusive evidence. Ensure it is understood as part of a larger body of supporting information, not a standalone validation.

Linguistic Context

The phrase "an element of proof" functions as a noun phrase within a sentence, often serving as the subject complement or object of a preposition. It describes a component that contributes to the establishment of a claim or argument. Ludwig AI confirms its usability in written English.

Expression frequency: Rare

Frequent in

News & Media

30%

Science

30%

Academia

20%

Less common in

Formal & Business

10%

Wiki

5%

Encyclopedias

5%

Ludwig's WRAP-UP

In summary, "an element of proof" is a noun phrase used to describe a contributory piece of evidence within a broader argument. Ludwig AI confirms the phrase's grammatical correctness and usability. While examples are relatively rare, sources like The New York Times and scientific journals suggest a prevalence in formal and objective contexts such as news reporting, academic research, and legal discussions. When employing the phrase, ensure you represent it as part of a larger body of evidence rather than a conclusive validator. Alternatives include "piece of evidence" or "component of verification", depending on the specific context you intend to convey.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

proof component

Inverts the structure but maintains the core meaning, stressing the 'proof' aspect.

item of proof

Highlights the specific nature of the proof, rather than its elemental role.

critical proof

Highlights the vital role the proof plays in the argument

piece of evidence

Focuses on a single item that supports a claim, differing from the more abstract "element".

key evidence

Highlights that the evidence is important and central to the argument.

component of verification

Emphasizes the aspect of confirming something to be true or accurate.

supporting fact

Emphasizes factual support rather than a conceptual "element".

aspect of validation

Focuses on confirming the legitimacy or correctness of something.

essential fact

Focuses on the criticality and factuality of the information

substantiating detail

Highlights the role of providing support or evidence for a claim.

FAQs

How can I use "an element of proof" in a sentence?

You can use "an element of proof" to indicate that something serves as a contributing piece of evidence. For example, "The witness's statement provided an essential element of proof for the prosecution."

What are some alternatives to "an element of proof"?

Alternatives include "piece of evidence", "item of proof", or "component of verification", depending on the specific context.

Is it better to say "element of proof" or "piece of evidence"?

The choice depends on context. "Element of proof" suggests a component within a larger argument, while "piece of evidence" refers to a concrete item that supports a claim.

How does "an element of proof" differ from conclusive evidence?

"An element of proof" is a contributing factor, while conclusive evidence is sufficient on its own to establish a fact. It would be wrong to consider "supporting fact" as the opposite, since it is just a similar meaning.