main technical lemma

USAGE SUMMARY

The phrase "main technical lemma" is correct and usable in written English.
It can be used in academic or technical contexts, particularly in mathematics or computer science, to refer to a key proposition or statement that is essential for a proof or argument. Example: "The proof of the theorem relies heavily on the main technical lemma established in the previous section."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

The main technical lemma in the proof of Theorem 1.7 is.

Bulletin of Mathematical Sciences

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

Before proceeding with the main results, we give a useful technical lemma, which we will employ in the sequel.

Fixed Point Theory and Applications

The following technical lemma is crucial to prove the main result of this section.

Fixed Point Theory and Applications

The main ingredient in Kirk's constructive proof is a technical lemma due to Gillespie and Williams [31].

Fixed Point Theory and Applications

This technical lemma is of independent interest.

Journal of Inequalities and Applications

The following technical lemma will be useful to prove the main result of this work.

Fixed Point Theory and Applications

(Goble 1990b contains the main technical details).

SEP

Let us begin with a technical lemma.

Journal of Inequalities and Applications

We have the following technical lemma.

Fixed Point Theory and Applications

We now prove the following technical lemma.

Fixed Point Theory and Applications

We need the following new technical lemma.

Advances in Difference Equations

Expert writing Tips

Best practice

When presenting a "main technical lemma", clearly state its purpose and how it contributes to the overall argument or proof. This helps readers understand its significance.

Common error

Avoid using "main technical lemma" for a lemma that only has a minor role in the proof. Ensure it truly is a central component; otherwise, use a more general term like "technical lemma".

Linguistic Context

The phrase "main technical lemma" functions as a noun phrase that identifies a specific, important preliminary result within a larger mathematical or technical argument. Ludwig confirms that this phrase is usable in academic and technical contexts.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase "main technical lemma" is a grammatically sound and technically appropriate term used to identify a crucial preliminary result in mathematical or scientific arguments. Ludwig AI confirms its usability, particularly in formal contexts. While its frequency is rare, its specific usage in science highlights its importance in those fields. When using this phrase, ensure the lemma is truly central to the argument to avoid overstating its importance. Consider alternatives like "key technical lemma" or "crucial technical lemma" to convey similar meanings.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

key technical lemma

Focuses on the importance of the lemma in a more direct way.

principal technical lemma

Emphasizes the lemma's role as the most important technical result.

central technical lemma

Highlights the lemma's position as a core component.

crucial technical lemma

Stresses the lemma's essential nature for further derivations.

significant technical lemma

Emphasizes the importance and impact of the lemma.

primary technical lemma

Highlights that the lemma is of first importance.

core technical lemma

Implies that the lemma is at the very heart of the matter.

essential technical lemma

Highlights that the lemma is indispensable.

leading technical lemma

Emphasizes the lemma's guidance in the proof or argument.

important technical lemma

A general term emphasizing the lemma's relevance.

FAQs

What does "main technical lemma" mean in mathematical contexts?

In mathematics, a "main technical lemma" refers to a key preliminary result or proposition that is crucial for proving a more significant theorem or result. It provides essential groundwork and often involves complex or specialized techniques.

How to use "main technical lemma" in a sentence?

You might say, "The proof of Theorem 1 relies heavily on the "main technical lemma" established in Section 3."

What can I say instead of "main technical lemma"?

You can use alternatives like "key technical lemma", "crucial technical lemma", or "principal technical lemma" depending on the specific emphasis you want to convey.

Is it appropriate to use "main technical lemma" in non-technical writing?

The phrase "main technical lemma" is highly specialized and generally inappropriate for non-technical writing. It's best reserved for contexts where the audience understands mathematical or scientific terminology.