as proved in

USAGE SUMMARY

"as proved in" is correct and usable in written English.
You can use it to introduce a statement or piece of evidence that supports the point you are making in the sentence. For example: "As proved in a recent study, the use of renewable energy sources has increased significantly worldwide in the last five years."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Bilingualism is attainable outside the classroom, as proved in Europe and elsewhere.

The New York Times

Eyewitness accounts of events, as proved in numerous court cases, are notoriously unreliable.

The Guardian - Books

Juxtaposition does that, as proved in "Love Songs," whose choreography both illustrated and subverted the pop songs to which it was set.

The New York Times - Arts

The claim that video technology would stop the flow of soccer is nonsense, as proved in rugby, a conservative and traditional sport that uses it.

The New York Times - Sports

But apparently there is always room for new teams in the World Series, as proved in this past decade of Diamondbacks and Angels, Astros and Rangers.

The New York Times - Sports

As proved in Sect.

Data Science and Engineering

As proved in [27], we have the following lemma.

Boundary Value Problems

If the inclusion M0 ⊂M1 is irreducible, we recover quantum groups, as proved in former papers.

Journal of Functional Analysis

This result remains valid when 1 < ν < 2 as proved in [12].

Advances in Difference Equations

In fact, as proved in [13], problem (2) satisfies the following conservation law: (4).

Boundary Value Problems

As proved in [28], the duality gap equals to zero under some mild conditions (strong duality).

EURASIP Journal on Wireless Communications and Networking

Expert writing Tips

Best practice

When using "as proved in", always cite the source correctly to give credit to the original author and allow readers to verify the information.

Common error

Avoid using "as proved in" without providing a clear and verifiable source. This can weaken your argument and damage your credibility. Always ensure that you have a reliable source to back up your claim.

Linguistic Context

The phrase "as proved in" functions as a causal connector, linking a statement to the evidence or source that supports it. Ludwig examples show its use in academic and scientific writing to introduce findings, theorems, or results. Ludwig AI confirms its correctness and usability.

Expression frequency: Very common

Frequent in

Science

64%

News & Media

25%

Formal & Business

11%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "as proved in" is a grammatically correct and frequently used connector, especially in scientific and academic writing. Ludwig AI confirms its usability for linking statements to supporting evidence. It functions to provide justification or support for a claim, enhancing credibility by grounding it in prior research. While primarily formal and scientific, it can also appear in news and media. When using this phrase, always ensure proper citation to maintain credibility and allow verification of the information.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

as demonstrated in

Focuses on the act of demonstrating something through examples or evidence, which is similar to proving but emphasizes the presentation of evidence.

as shown in

Offers a more general way of indicating that something has been displayed or revealed, without necessarily implying a formal proof.

as evidenced by

Highlights the role of evidence in supporting a claim, suggesting a strong connection between the statement and the available proof.

as indicated in

Implies that something has been pointed out or suggested, often based on existing data or findings.

according to

Attributes information to a specific source, emphasizing the authority or reliability of that source.

based on the evidence in

Explicitly states that a conclusion is drawn from available evidence, highlighting the importance of empirical support.

it has been established that

Indicates that something has been definitively proven or confirmed, suggesting a high degree of certainty.

research indicates that

Connects a statement to broader research findings, suggesting a basis in systematic investigation.

the data suggests that

Focuses on the data as the primary source of information, implying an empirical basis for a claim.

this is supported by

Offers a general way of indicating that something is backed up by evidence or findings, without specifying the nature of the support.

FAQs

How can I use "as proved in" in a sentence?

You can use "as proved in" to introduce a statement or result that has been previously demonstrated or verified. For example, "As proved in the study by Smith (2020), the new treatment shows significant improvements."

What are some alternatives to "as proved in"?

Alternatives include "as demonstrated in", "as shown in", or "as evidenced by". The choice depends on the specific context and the nuance you want to convey.

Which is correct: "as proved in" or "as proven in"?

"As proved in" is generally preferred over "as proven in", although both can be found. "Proved" is the more common past participle of "prove" in British English, while "proven" is more common in American English.

What is the difference between "as proved in" and "according to"?

"As proved in" implies that something has been definitively demonstrated or verified, whereas "according to" simply attributes information to a source without necessarily implying that it has been rigorously proven.