we have shown that

USAGE SUMMARY

The phrase "we have shown that" is correct and can be used in written English.
This phrase is used to indicate that something has been demonstrated, proven, or revealed. For example, "We have shown that increased levels of physical activity can lead to improved physical and mental health."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

We have shown that (2.20).

Boundary Value Problems

Hence we have shown that (2.36).

Journal of Inequalities and Applications

We have shown that (3.2) holds.

Fixed Point Theory and Applications

Therefore we have shown that is a -distance on.

Fixed Point Theory and Applications

Thus, we have shown that is a compact operator.

Boundary Value Problems

Thus, we have shown that is a -convex subset of.

Fixed Point Theory and Applications

Up to now, we have shown that (3.19).

Advances in Difference Equations

Now we have shown that is completely continuous.

Boundary Value Problems

By integrating this inequality, we have shown that (2.31).

Boundary Value Problems

We have shown that is a Bianchini-Grandolfi gauge function.

Fixed Point Theory and Applications

We have shown that CD44 physically interacts with Unc119.

Plosone

Expert writing Tips

Best practice

When using "we have shown that", ensure the statement is supported by clear evidence and analysis within your work. Avoid overstating the significance of your findings.

Common error

Avoid using "we have shown that" to introduce speculative or weakly supported claims. This phrase suggests a high degree of certainty and should be reserved for findings with robust evidence.

Linguistic Context

The phrase "we have shown that" serves as a declarative statement, introducing a finding or conclusion that the authors believe they have sufficiently demonstrated through evidence or analysis. Ludwig AI confirms its appropriateness in various contexts.

Expression frequency: Very common

Frequent in

Science

60%

News & Media

30%

Formal & Business

10%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "we have shown that" is a versatile and grammatically sound phrase employed to assert a claim supported by evidence, as confirmed by Ludwig AI. It is most commonly found in scientific and news-related contexts. While the phrase is generally suitable for formal writing, remember to adjust the tone to match the context. Consider alternative phrases like "we have demonstrated that" or "the results indicate that" for slightly different nuances. Ensure claims made using this phrase are well-supported to avoid overstating the significance of the findings. Proper usage will enhance the clarity and credibility of your writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

we have demonstrated that

Similar in meaning but employs a more formal verb.

we have proven that

Emphasizes the conclusive nature of the demonstration.

as we have shown

Functions as a reminder of a previously demonstrated point.

we have established that

Emphasizes the firm or solid nature of proof.

our results indicate that

Shifts focus to the results themselves as the indicator.

the evidence suggests that

Highlights the suggestive nature of the proof, rather than a definitive showing.

the study indicates that

Changes the subject to "the study", which implies that the authors are describing a collective work instead of a personal one.

this demonstrates that

Changes the subject to "this" referring to previous information. Reduces the focus on the agent.

it has been demonstrated that

Uses a passive voice construction.

we can conclude that

Highlights the conclusion drawn from evidence.

FAQs

How can I use "we have shown that" in a sentence?

The phrase "we have shown that" is typically used to introduce a finding or conclusion that has been supported by evidence or analysis in your work. For example, "We have shown that increased exercise correlates with improved mental health".

What are some alternatives to "we have shown that"?

Depending on the context, you can use phrases like "we have demonstrated that", "we have proven that", or "the results indicate that".

Is "we have shown that" too formal for general writing?

While "we have shown that" is suitable for academic and professional contexts, it might sound overly formal in casual writing. Consider using alternatives like "this proves that" or "this indicates that" in less formal settings.

What's the difference between "we have shown that" and "we have found that"?

"We have shown that" implies a demonstration or proof, while "we have found that" simply indicates a discovery. Use "we have shown that" when you've provided sufficient evidence to support your claim.