here the proof

USAGE SUMMARY

"here the proof" is correct and usable in written English.
You can use it when you are introducing a piece of evidence in support of a point you have just made. For example, "The evidence clearly shows that the defendant was in the wrong. Here the proof."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

14 human-written examples

We follow here the proof by Beck and Teboulle from the paper 'A fast iterative shrinkage-thresholding algorithm for linear inverse problems'.

Princeton University

We report here the proof of concept of the use of new assembled arrays of ultramicroelectrodes (UMEs) for the simultaneous and dynamic sensing of reactive nitrogen species such as nitric oxide (NO) and peroxynitrite (ONOO−, so-called PON) released by cultured cells.

Electrochimica Acta

Proof By the definition given by (1), the proof is easy, here the proof is omitted.

Journal of Inequalities and Applications

We can obtain this lemma from Lemma 1.1 directly, here the proof is omitted.

Advances in Difference Equations

Here the proof follows the ideas of Baillon [10] developed in hyperconvex metric spaces.

Fixed Point Theory and Applications

Here the proof is provided through a simple counterexample, namely the complete graph.

The Journal of Mathematical Neuroscience (JMN)

Human-verified similar examples from authoritative sources

Similar Expressions

46 human-written examples

We show here the proof-of-concept that a single reverse electrodialysis cell using continuously recirculated activated carbon flow electrodes can generate uninterrupted electricity from an artificial sea/river water gradient.

Journal of Power Sources

So, here the proofs are omitted.

Fixed Point Theory and Applications

Here, the proofs of the main results will be presented.

Advances in Difference Equations

Here, the proof-of-concept device was tested with mock samples of antigen spiked into fetal bovine serum.

Analytical Chemistry

We presented here the proof-of-principle for the use of NRG mice as a new model supporting the metastatic growth of human MM cell lines and primary cells.

BMC Cancer

Expert writing Tips

Best practice

Use "here the proof" to directly introduce evidence that supports a preceding statement. It works best when the evidence is concise and impactful.

Common error

Avoid using "here the proof" to introduce complex or lengthy evidence. It can create an anticlimactic effect if the proof is not immediately apparent.

Linguistic Context

The phrase "here the proof" functions as an introductory expression, directly signaling the presentation of evidence. It serves to emphasize that what follows is intended to substantiate a previous claim, as confirmed by Ludwig AI.

Expression frequency: Uncommon

Frequent in

Science

50%

News & Media

50%

Formal & Business

0%

Less common in

Wiki

0%

Encyclopedias

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "here the proof" is a grammatically correct phrase used to directly introduce evidence. It's most common in scientific and news contexts. Ludwig AI confirms its function as an introductory expression signaling validation. When using this phrase, ensure the evidence is concise and impactful to avoid anticlimactic effect. Consider alternatives like "this is the evidence" for added emphasis or formality.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

this is the evidence

Replaces "here" with "this", emphasizing the evidence itself.

the following demonstrates

Uses a more formal verb to introduce the evidence.

as proof, consider

Directly indicates that the following information is proof.

the evidence suggests

Indicates that the following information points towards a conclusion.

to illustrate this

Offers the proof as a way to illustrate a point.

this confirms that

Highlights that the following information is confirmation.

for example

Provides an instance as proof, which may be indirect.

the data indicates

Focuses on data as the source of the proof.

to verify this

States an intention to demonstrate that something is real or true.

consider the following

Suggests examining certain proof.

FAQs

How can I use "here the proof" in a sentence?

Use "here the proof" to introduce direct evidence supporting a preceding statement. For example, "The data indicates a clear upward trend; here the proof."

What's a more formal way to say "here the proof"?

For a more formal tone, consider using alternatives like "the following demonstrates" or "the evidence suggests".

Is it always necessary to use a comma before "here the proof"?

While not strictly required, a comma before "here the proof" can improve readability, especially in longer sentences. It signals a clear transition to the supporting evidence.

What kind of evidence is best introduced with "here the proof"?

Use "here the proof" when the evidence is direct, concise, and immediately validates the point being made. Avoid using it for evidence that requires significant interpretation.