point of proof

USAGE SUMMARY

The phrase "point of proof" is correct and usable in written English.
It can be used in contexts where you are discussing a specific aspect or element that serves as evidence or validation in an argument or claim. Example: "The point of proof in her argument was the statistical data that supported her claims."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

And my first point of proof is very simple: if I have not understood this message, I will never transport it ".

Triple Helix

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

Theorem 20 Adding condition (U) to the hypotheses of Theorem 16 (resp. Theorem 18), we see that u is the unique fixed point of T. Proof The proof is an analog of the proof of Theorem 19.

Journal of Inequalities and Applications

Not surprisingly, our main points of proof come from the ideas in [[23], Theorem 4.1] and [[27], Theorem 3.1].

Fixed Point Theory and Applications

With Bolzano, the status of axioms changes: instead of being evident, objects of intuition, they become the starting points of proofs in a deductive theory.

SEP

This is not, of course, because foundational areas such as set theory are the only areas of mathematics where philosophers think that deduction takes place, but rather because as pointed out above focusing on deduction puts particular emphasis on the starting points of proofs.

SEP

"That's not the point of the proof of concept," Dr. Post said.

The New York Times - Science

Then, the sequence {x n } converges weakly to a fixed point of T. Proof.

Fixed Point Theory and Applications

Then { x n } converges strongly to a fixed point of T. Proof Fix p ∈ F ( T ).

Fixed Point Theory and Applications

Then, {x n } converges strongly to the fixed point of T. Proof.

Fixed Point Theory and Applications

Then, {x n } converges strongly to a fixed point of T. Proof.

Fixed Point Theory and Applications

If the interior of F(T) is nonempty, then {x n } converges strongly to a fixed point of T. Proof.

Fixed Point Theory and Applications

Expert writing Tips

Best practice

When using "point of proof", ensure the context clearly indicates what claim or argument the proof is supporting. Providing specific details strengthens the overall statement.

Common error

Avoid using "point of proof" in casual conversation or informal writing where simpler terms like "evidence" or "reason" would be more appropriate. Its formal tone suits academic or professional settings better.

Linguistic Context

The phrase "point of proof" functions as a noun phrase, identifying a specific element that serves as evidence or validation in an argument. As Ludwig AI indicates, the phrase is usable in written English where a specific aspect or element serves as evidence.

Expression frequency: Rare

Frequent in

Science

59%

News & Media

18%

Formal & Business

23%

Less common in

Ludwig's WRAP-UP

In summary, "point of proof" is a grammatically correct and usable phrase, although relatively rare in occurrence. According to Ludwig AI, it's best utilized in contexts requiring formal demonstration or validation, such as academic or scientific writing. While alternatives like "proof point" or "evidence" exist, "point of proof" specifically emphasizes a crucial element that solidifies an argument. Its formality makes it less suitable for casual conversation, but its precision ensures clarity in professional or scholarly discourse.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

proof point

A more concise way to refer to a specific piece of evidence supporting a claim.

evidence for the proof

Emphasizes the evidential support required for a proof.

basis of the proof

Highlights the foundational element upon which the proof rests.

justification for the proof

Focuses on the rationale or defense of the proof.

reason for the proof

Indicates the underlying logic or motivation for the proof.

demonstration of the proof

Highlights the act of showing or exhibiting the proof.

core of the proof

Identifies the central or most crucial element of the proof.

cornerstone of the proof

Illustrates the most important aspect of the proof.

substantiation of the proof

Emphasizes the act of providing evidence to confirm the proof.

validation of the proof

Highlights the process of confirming the accuracy or soundness of the proof.

FAQs

How can I use "point of proof" in a sentence?

You can use "point of proof" to highlight a key piece of evidence supporting an argument, as in, "The main point of proof in her research was the statistically significant data."

What are some alternatives to "point of proof"?

Depending on the context, you can use alternatives like "proof point", "evidence", or "justification".

Is "point of proof" formal or informal?

"Point of proof" leans towards formal usage and is often found in academic, scientific, or professional contexts. Simpler terms may be preferred in informal settings.

What makes "point of proof" different from "evidence"?

"Point of proof" often refers to a specific, critical piece of evidence used to validate a claim within a formal argument or demonstration. "Evidence" is a broader term that can include various types of supporting information.