it can be shown that

USAGE SUMMARY

"it can be shown that" is a correct and usable phrase in written English.
You can use it when you are making a claim that can be proven through evidence, such as in a research paper. For example: "It can be shown that alcohol consumption can increase the risk of certain types of cancer."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

It can be shown that is continuous.

Advances in Difference Equations

For it can be shown that (3.48).

Advances in Difference Equations

Similarly, it can be shown that which proves the result.

Fixed Point Theory and Applications

If it can be shown that S.&P.

The New York Times

It can be shown that hybrids provide significant lightweight potential.

Thin-Walled Structures

It can be shown that this distance is a number between 0 and 1.

Cornell University

It can be shown that motorists strongly dislike the bother, delay, and experience of buying gasoline.

Harvard Business Review

It can be shown that our method adapts to partial occlusion and various challenging cases.

Transportation Research Part C: Emerging Technologies

Therefore, it can be shown that the present method is valid.

Marine Structures

Furthermore, it can be shown that the lattice sampling outperforms Latin hypercube sampling.

Statistics & Probability Letters

It can be shown that even for much simpler networks, most design problems are NP-complete.

Design of Modern Communication Networks Methods and Applications

Expert writing Tips

Best practice

Use "it can be shown that" to introduce a statement that is supported by evidence, logical reasoning, or mathematical proof. It's particularly useful in academic papers, technical reports, and formal writing where establishing credibility is important.

Common error

Avoid using "it can be shown that" in casual conversation or informal writing. Simpler phrases like "we know" or "it's clear" are often more appropriate for these contexts.

Linguistic Context

The phrase "it can be shown that" functions as an introductory device in academic and formal writing. As Ludwig AI also indicates, it is grammatically correct, and it signals that the subsequent statement is supported by evidence, proof, or logical deduction. This phrase introduces a claim that is verifiable.

Expression frequency: Very common

Frequent in

Science

69%

News & Media

13%

Academia

6%

Less common in

Encyclopedias

1%

Wiki

1%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, "it can be shown that" is a grammatically sound phrase, as confirmed by Ludwig AI, commonly employed in formal writing to introduce a statement verifiable through evidence or proof. It's particularly suitable for academic and scientific contexts, signaling a claim supported by logical reasoning or empirical data. While the phrase is prevalent in these settings, remember to use simpler alternatives in casual communication to avoid sounding overly formal. The analysis of Ludwig examples indicates that this phrase effectively bridges claims with supporting evidence, establishing credibility in scholarly works.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

it can be demonstrated that

Replaces "shown" with "demonstrated", emphasizing the act of proving something through evidence or example.

it can be proven that

Substitutes "shown" with "proven", highlighting that the statement has been verified as true.

evidence suggests that

Offers a similar meaning but frames the statement as being supported by evidence rather than definitively proven.

research indicates that

Frames the statement as a result of research, suggesting empirical support.

the data suggests that

Highlights that the statement is based on data analysis and interpretation.

analysis reveals that

Emphasizes that the statement is a conclusion drawn from a detailed analysis.

it is evident that

Indicates that the statement is clear and obvious from the available information.

it is apparent that

Similar to "it is evident that", but may imply a slightly more subtle observation.

the findings indicate that

Suggests that the statement is based on the results of a study or investigation.

observations confirm that

Highlights that the statement is supported by direct observations.

FAQs

What does "it can be shown that" mean?

The phrase "it can be shown that" introduces a statement that can be proven or demonstrated through evidence, logic, or mathematical principles. It indicates that the following claim is not just an opinion but is verifiable.

When should I use "it can be shown that" in my writing?

Use "it can be shown that" in formal writing, such as academic papers or technical reports, where you need to present a claim that is supported by evidence or proof. Avoid using it in informal contexts, where it may sound overly formal.

What are some alternatives to "it can be shown that"?

Some alternatives to "it can be shown that" include "it can be demonstrated that", "it can be proven that", or "evidence suggests that" depending on the specific nuance you want to convey.

Is "it can be shown that" the same as "it is believed that"?

No, "it can be shown that" implies that the statement is verifiable with evidence or proof, while "it is believed that" indicates a personal opinion or a generally held belief without necessarily having concrete evidence. Therefore they are not interchangeable.