before proving this

USAGE SUMMARY

The phrase "before proving this" is correct and usable in written English.
It can be used when discussing a point or argument that needs to be established prior to demonstrating or validating something. Example: "Before proving this theorem, we must first establish the necessary definitions and lemmas."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

Before proving this, let us give a closer look to the new index.

Bulletin of Mathematical Sciences

It is necessary to introduce several lemmas before proving this theorem.

Boundary Value Problems

(cequiv 0) in D and u achieves a (finite) maximum over ({overline{E}}) at an interior point in D; (cle 0) in D and u achieves a (finite) nonnegative maximum over ({overline{E}}) at an interior point in D; u achieves a zero maximum over ({overline{E}}) at an interior point in D, Before proving this theorem, let us first give some comments on it.

Bulletin of Mathematical Sciences

Before proving this theorem, we explain how these sets of equations were obtained.

Algorithms for Molecular Biology

Then for every p there exists a lift γ such that the following diagram commutes up to homotopy Before proving this lemma, let us set up some basic notation.

Advances in Mathematics

The finding that the H1N1/09 strains were located in a closer vicinity of both swine and human territories than the H5N1 strains isolated from humans on BLSOM was consistent with this view, although much more data of new pandemics of various subtypes should be needed before proving this view.

DNA Research

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

Say that u has a tree child; the same argument as before proves that this child must be a leaf i.

Bioinformatics

Before proving the theorem (see the end of this section), we make some preparations.

EPJ Quantum Technology

Before proving the main theorems, we need the following lemmas.

Journal of Inequalities and Applications

Before proving the results, we state a few useful lemmas.

Journal of Inequalities and Applications

We give an important relation before proving the bilinear estimate.

Boundary Value Problems

Expert writing Tips

Best practice

Use "before proving this" to clearly signal that you are about to introduce necessary definitions, lemmas, or context before presenting a formal proof. This helps your reader follow your argument more easily.

Common error

Ensure that the 'this' in "before proving this" clearly refers to a specific theorem, lemma, or statement. Ambiguity can confuse the reader and weaken the clarity of your argument.

Linguistic Context

The phrase "before proving this" serves as an introductory connector. It signals that the speaker or writer is about to provide preliminary information, establish a foundation, or outline key concepts prior to presenting a logical or mathematical proof. According to Ludwig AI, this phrase is usable in written English.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, "before proving this" is a grammatically sound phrase used to signal the introduction of prerequisite information before a formal proof. Ludwig AI indicates that this is correct English. It's most commonly found in scientific and academic contexts. While considered rare in frequency, it serves an essential role in clearly structuring logical arguments. Effective use involves ensuring that the 'this' is unambiguous and refers directly to the statement or theorem about to be proven, thus enhancing clarity and logical flow.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

prior to demonstrating this

Replaces "proving" with "demonstrating", emphasizing the act of showing or illustrating something.

ahead of substantiating this

Substitutes "proving" with "substantiating", which highlights the action of providing evidence.

previous to confirming this

Uses "confirming" instead of "proving", implying validation or verification.

in anticipation of verifying this

Replaces "before" with "in anticipation of", suggesting expectation of verification.

preceding the validation of this

Emphasizes the action of validation, rather than proof.

in advance of establishing this

Focuses on the establishment of a concept or idea.

preliminary to justifying this

Highlights the act of providing justification or reasons.

on the cusp of confirming this

Expresses a sense of immediacy just before confirmation.

leading up to proving this

Highlights the steps that are necessary to prove something.

preparatory to proving this

Emphasizes the preparatory steps needed before a proof.

FAQs

How can I use "before proving this" in a sentence?

You can use "before proving this" to introduce necessary definitions or lemmas. For example: "Before proving this theorem, we need to define the term 'manifold'". Alternatively, use it to set the context for a proof.

What are some alternatives to "before proving this"?

Alternatives include "prior to demonstrating this", "ahead of substantiating this", or "previous to confirming this", depending on the specific nuance you want to convey.

Is it more formal to say "before proving this" or "prior to proving this"?

"Prior to proving this" is slightly more formal than "before proving this". Both are acceptable in academic and professional writing, but "prior to" may lend a more sophisticated tone.

When should I use "before proving this" versus other similar phrases?

Use "before proving this" when you want to emphasize the act of presenting a formal mathematical or logical proof. If you're simply illustrating a concept, "before demonstrating this" might be more appropriate.