as we proved

USAGE SUMMARY

The phrase 'as we proved' is correct and usable in written English.
You can use this phrase to refer to something that has been demonstrated to be true through evidence or argument. For example, "We conducted a thorough analysis of the data, and as we proved, our conclusion was correct."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

14 human-written examples

Weak links We're a strong, well organised unit, as we proved last year, and that shouldn't change, but all too often we dropped points from winning positions.

The Guardian - Sport

"It's not over until it's over as we proved last year".

BBC

On that wicket, as we proved in the second innings, runs were there to be had.

BBC

This is despite the reciprocity of the device, as we proved analytically.

Electrochimica Acta

In a similar manner as we proved Theorem 3.4, we obtain the following theorems.

Boundary Value Problems

As we proved above, u defined by (20) is an optimal control of Problem (LQ SOC).

Advances in Difference Equations

Human-verified similar examples from authoritative sources

Similar Expressions

46 human-written examples

Let be a sequence in with as, we prove that.

Fixed Point Theory and Applications

As a result, the PFA is higher than the desired one, as we prove.

Expert Systems with Applications

As soon as we prove we can't keep a secret, we go back to being like every other company".

TechCrunch

Letting be a sequence in with (as ), we prove that In fact, from the definition of we have (214).

Journal of Inequalities and Applications

The LIF model with a continuous input shares this saturation property, as we prove in Proposition 6.

The Journal of Mathematical Neuroscience

Expert writing Tips

Best practice

Use "as we proved" to clearly link a current statement to a previously established fact or argument, enhancing the logical flow of your writing.

Common error

Avoid using "as we proved" in casual conversations or informal writing, as it can sound overly formal or pretentious. Simpler phrases like "as we saw" or "like we said" may be more appropriate.

Linguistic Context

The phrase "as we proved" functions as a causal connector, linking a current statement to a previously established fact or argument. This emphasizes the logical connection and provides a basis for the current assertion. Ludwig AI confirms its correct usage in various contexts.

Expression frequency: Uncommon

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, the phrase "as we proved" serves as a causal connector, effectively linking a statement to a previously demonstrated fact. Ludwig AI classifies this phrase as grammatically correct. Its usage is most common in science, news, and business contexts where logical reasoning and evidence are paramount. While versatile, it's best suited for formal and neutral registers, and it has several related phrases that help customize your writing. Remember to use it appropriately, ensuring it aligns with the formality and context of your writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

as we have demonstrated

Uses 'demonstrated' instead of 'proved', adding a slightly more formal tone.

as we have shown

Replaces 'proved' with 'shown', offering a simpler and more direct alternative.

as our results indicate

Shifts focus to the results obtained, emphasizing the empirical evidence.

as the evidence suggests

Highlights the evidence supporting a claim, rather than the act of proving.

as we established earlier

Emphasizes the prior establishment of a fact or argument.

as previously validated

Focuses on the validation of a claim, implying a formal or rigorous process.

in light of our findings

Introduces a conclusion based on specific research findings.

based on our prior evidence

Highlights the reliance on previous evidence to support a current statement.

given what we have already proven

Acknowledges the proven nature of information influencing the subsequent statement.

considering our demonstrated findings

This emphasizes the impact of previous findings on new information.

FAQs

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

Use "as we proved" to connect a statement to a previously demonstrated fact or argument. For example, "We analyzed the data extensively, and "as we proved", our initial hypothesis was correct."

What are some alternatives to "as we proved"?

Some alternatives include phrases like "as we demonstrated", "as we have shown", or "as our results indicate", depending on the context.

Is "as we proved" suitable for all types of writing?

While grammatically correct, "as we proved" is more suitable for formal and academic writing. In informal contexts, consider using simpler alternatives.

What's the difference between "as we proved" and "as we believe"?

"As we proved" indicates that something has been demonstrated to be true, while "as we believe" expresses an opinion or assumption that may not have been proven. Using them interchangeably would be incorrect.