during the proof of

USAGE SUMMARY

The phrase "during the proof of" is correct and usable in written English.
It can be used when referring to a specific stage or process in a mathematical or logical argument where a proof is being established. Example: "During the proof of the theorem, we encountered several unexpected results that required further investigation."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

11 human-written examples

During the Functional Testing phase, the target metrics determined during the Proof of Concept phase will be used to create a single-array DRC external RNA control pool.

BMC Genomics

obtained during the proof of Theorem 4.3.

Journal of Inequalities and Applications

We enumerate the cases of the Noor iteration method during the proof of our next result.

Fixed Point Theory and Applications

We also choose the same σ during the proof of Lemma 3.1, then we get (n-sigma)/{s'}-{n}/pleq n-sigma)/{s'}/pleq n-sigmap< 0. (3.4).

Journal of Inequalities and Applications

Although it is not mentioned in the previous theorem that the sequence { X n } converges to the maximal Hermitian positive definite solution of equation (2), during the proof of the theorem in [15], it is obvious.

Advances in Difference Equations

In this section, we present two theorems and some well-known identities regarding the sequences ( u n ) and ( v n ), which will be useful during the proof of the main theorem.

Journal of Inequalities and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

49 human-written examples

Although not directly comparable due to different panel compositions, this MCDA estimate is at the lower range (42% - 64%) of estimates obtained during the proof-of-concept study for 10 medicines approved in Canada (submitted manuscript).

Cost Effectiveness and Resource Allocation

Furthermore, another study published during the proofs of this manuscript suggests that there might be Tet3-dependent and other mechanisms-dependent demethylation pathways which are redundant [ 35].

Epigenetics and Chromatin

These investigations happened to occur while there was a major worldwide migration of P. infestans (from Mexico) and the collections made during this time provided the proof of that migration.

Cornell University

Whatever promises are given during the negotiations about enforcement, the proof of Russia's shift to a true market economy, one based on rules, will be how far they are observed once the deal is done.

The Economist

The proof of everything.

The New York Times - Books

Expert writing Tips

Best practice

When using "during the proof of", ensure that the context clearly indicates a formal or logical demonstration. Avoid using it in contexts where a less rigorous explanation is sufficient.

Common error

Avoid using "during the proof of" in casual conversations or informal writing. Opt for simpler alternatives like "while proving" or "in the process of proving" to maintain a natural tone.

Linguistic Context

The phrase "during the proof of" functions as a prepositional phrase indicating the timing of an event or action relative to the process of constructing a logical or mathematical proof. This is supported by Ludwig AI, which identifies the phrase as grammatically sound.

Expression frequency: Uncommon

Frequent in

Science

60%

Academia

20%

News & Media

10%

Less common in

Formal & Business

10%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "during the proof of" is a grammatically correct prepositional phrase primarily used in formal academic and scientific writing. It serves to pinpoint the timing of specific events or observations within the progression of a mathematical or logical proof. As Ludwig AI confirms, the phrase is valid and well-suited for contexts where precision and clarity are paramount. While alternatives exist, such as "in the course of proving" or "while demonstrating", the original phrase maintains a unique level of formality and is best reserved for appropriate contexts. Common errors involve overusing it in informal settings, where simpler alternatives would be more appropriate.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

in the course of proving

Emphasizes the progression of the proof rather than a specific moment within it.

while demonstrating

Focuses on the act of showing or demonstrating the validity of a statement.

in the process of validating

Highlights the validation aspect of a proof.

as we establish

Implies a formal and progressive development of the proof.

while verifying

Emphasizes the act of confirming the truth of a statement.

in the midst of substantiating

Suggests an ongoing effort to support or prove something.

as we ascertain

Highlights discovering something with certainty.

throughout the verification of

Indicates that something happens from start to the end of the verification process.

concomitant with the proof of

Implies a simultaneous occurrence alongside the proof process.

concurrently with the establishment of

Indicates that processes run in parallel as something is being established.

FAQs

How can I use "during the proof of" in a sentence?

You can use "during the proof of" to specify when certain actions or observations occur within a mathematical or logical argument. For example, "During the proof of the theorem, we encountered several unexpected results".

What are some alternatives to "during the proof of"?

Alternatives include "in the course of proving", "while demonstrating", or "in the process of validating", depending on the specific nuance you want to convey.

When is it appropriate to use "during the proof of" versus simpler phrases like "while proving"?

"During the proof of" is most appropriate in formal, academic, or scientific writing where precision is valued. Simpler phrases like "while proving" are suitable for less formal contexts.

Is "during the proof of" grammatically correct?

Yes, "during the proof of" is grammatically correct and commonly used in academic and scientific contexts to refer to a specific stage or process in a mathematical or logical argument.