proof statement

USAGE SUMMARY

The phrase "proof statement" is correct and usable in written English.
It can be used in contexts related to mathematics, logic, or formal arguments where a statement is presented to demonstrate the validity of a proposition. Example: "In order to validate our hypothesis, we need to construct a proof statement that clearly outlines our reasoning."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

3 human-written examples

Proof Statement (a) follows immediately from Theorem 2.1 if we only show that the operator C satisfies the condition ( S + ) D ( C ) with D ( C ) = X.

Journal of Inequalities and Applications

If 0 ∉ T ( D ( T ) ∩ ∂ Ω ) and T satisfies condition ( S q ) on D ( T ) ∩ ∂ Ω, then there exists ( λ 0, x 0 ) ∈ ( 0, ∞ ) × ( D ( T + C ) ∩ ∂ Ω ) such that T x 0 + λ 0 C x 0 = 0. Proof Statement (a) follows from part (a) of Theorem 4.1 by noting that if C satisfies condition ( S ˜ + ), then C is generalized pseudomonotone.

Journal of Inequalities and Applications

Proof Statement (1) is a direct consequence of the relations between dist ( F ( ω 1 ), F ( ω 2 ) ) and dist ( S r F ( ω 1 ), S r F ( ω 2 ) ) obtained in paragraph (2) of Lemma 1: the necessity follows from estimate (6) and sufficiency from equality (7).

Fixed Point Theory and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

57 human-written examples

Proof Statements 1-4 can be proved by taking F = H in Theorem 2.1 and 5 obtained from Remark 2.2.

Journal of Inequalities and Applications

Proof Statements (i) and (ii) follow by [[1], Theorems 3.2-3.3] 3.2-3.3] froms thet D k and C k coincide respectively with the Weyl disk and Weyl circle in (4.13).

Advances in Difference Equations

They offered as proof statements by coalition forces and Afghan intelligence officials, according to court records.

Los Angeles Times

The playing field is flattened as websites, blogs, tweets, white papers from small firms to large ones become the digital footprint and online "proof statements" to the next gen consumers.

Huffington Post

Fraud has an even higher standard of proof: the statement must be intentionally false about a material fact.

The New York Times

The proof, the statement said, using a common Islamist phrase, "will be in what you see and not in what you hear".

The New York Times

This completes the proof of statement (i).

Advances in Difference Equations

The proof of statement (b) is similar.

Advances in Difference Equations

Expert writing Tips

Best practice

When constructing a "proof statement", ensure it logically supports your claim and provides clear, concise evidence. Use it to summarize the key elements of your argument, making it easily understandable for the audience.

Common error

Avoid presenting a "proof statement" as absolutely conclusive when there's room for interpretation or further investigation. Qualify your statements to reflect the degree of certainty supported by the evidence.

Linguistic Context

The phrase "proof statement" functions primarily as a noun phrase that refers to a declaration or assertion intended to demonstrate the validity of a claim or argument. As seen in the Ludwig examples, this phrase is utilized in scientific and legal contexts.

Expression frequency: Rare

Frequent in

Science

60%

News & Media

20%

Encyclopedias

20%

Less common in

Formal & Business

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the term "proof statement" is used to describe an assertion that validates or provides evidence for a claim, predominantly in scientific and formal contexts. Ludwig's analysis confirms that the phrase is grammatically correct, though infrequent. The related phrases offer alternative ways to express similar concepts, while the writing guidance emphasizes the importance of clarity and appropriate qualification in using the phrase. Keep in mind its formality and ensure its proper use in relevant contexts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

demonstration of validity

Focuses on the act of demonstrating something's truth, emphasizing the validation aspect.

validation statement

Emphasizes the verification aspect, indicating confirmation of accuracy or truth.

substantiation of claim

Highlights the support provided for a specific claim, indicating evidence that backs up the assertion.

verification of assertion

Focuses on confirming the accuracy or truth of a stated fact or belief.

evidence supporting statement

Emphasizes the evidentiary aspect, indicating that the statement is backed by tangible proof.

justification for assertion

Highlights the reasoning and evidence provided to support a claim or assertion.

validation of hypothesis

Specifically relates to confirming the truth or accuracy of a scientific hypothesis.

confirmation of theorem

Specifically refers to the verification or establishment of a mathematical theorem.

corroboration of declaration

Focuses on providing supporting evidence to reinforce a formal declaration or announcement.

defense of proposition

Emphasizes the act of defending or arguing in favor of a particular proposition or idea.

FAQs

How can I use "proof statement" in a sentence?

You can use "proof statement" to refer to a sentence that provides evidence or validation for a claim or hypothesis. For example: "The scientist presented a compelling "demonstration of validity" as their proof statement."

What is a good alternative to "proof statement"?

Alternatives to "proof statement" include "validation statement", "substantiation of claim", or "evidence supporting statement", depending on the specific context.

Is "proof statement" formal or informal language?

"Proof statement" is generally considered formal and suitable for academic, scientific, or professional contexts. In more informal settings, you might use simpler terms like "evidence" or "reason".

What distinguishes a "proof statement" from a regular statement?

A "proof statement" specifically aims to demonstrate the validity or truth of something, whereas a regular statement simply conveys information or expresses an opinion. The "demonstration of validity" needs to provide a sound and logical argument.