but as we have shown above vs but as shown above

Both phrases are correct, but "but as shown above" is more concise and commonly used. The phrase "but as we have shown above" is also correct but may sound slightly redundant.

Last updated: March 19, 2024 • 1153 views

This phrase is correct but may sound slightly redundant.

"but as we have shown above"

This phrase is used to refer back to something that has been demonstrated or explained earlier in the text.

Show examples from the web [+]

But as we have shown above, it is possible to draw very different conclusions about product safety depending on whether specific or overall safety is the ...
Jun 17, 2014 ... But, as we have shown above, only the richest households in the economy owned bonds. The collapse in house prices hit low-net-worth ...
But as we have shown above, such designs cannot be constructed, anyway. If n is a prime, then Hedayat and Federer [3] have given a simple algorithm.
Nov 24, 2013 ... The integration over A is in principle of the area of the entire source, but as we have shown above this is limited to a region of width vtcool or ...

Alternatives:

but as shown above
as demonstrated above
as illustrated above
as previously shown
as indicated earlier

This phrase is concise and commonly used.

"but as shown above"

This phrase is used to refer back to something that has been demonstrated or explained earlier in the text.

Show examples from the web [+]

Incremental binding energies confirm {28, 50, 82, 126}. but, as shown above, reveal 6 and 14 as filled shell magic numbers. There is a degree of magicalness to ...
The change in potential energy involved in a pair formation would seem to be independent of all conditions of the nucleons, but as shown above for the case of ...
The default Theme is Signal but, as shown above, you can use other themes. More information about themes can be found in our document Working with ...
CleverCSS does not process selectors in a special way, but as shown above you can nest selector blocks instead of repeating parent selectors in individual ...

Alternatives:

but as we have shown above
as demonstrated above
as illustrated above
as previously shown
as indicated earlier

How TextRanch works

Fast and reliable proofreading, editing, and language advice tailored to your needs.

1. Choose Your Service

Quick Text Editing

Emails and short texts
Proofreading & editing
Ready in 5-10 minutes

SUBMIT YOUR TEXT NOW

Document Editing

Documents of any type (*.docx)
Advanced & Premium editing
Ready in as little as 4 hours

UPLOAD YOUR DOCUMENT

Ask an Editor

Personalized answers to your language questions
Expert guidance on grammar, style, and usage
Ready in 24 hours

ASK YOUR QUESTION

Upload your document or paste your text directly into our platform. Your text is reviewed and refined by our expert editors (real people, not machines) who understand the nuances of English. Expect corrections, improvements, and insightful suggestions that enhance the clarity, tone, and professionalism of your writing.

3. Receive Your Polished Text

In just a few minutes (or hours for longer documents), you'll receive your corrected text. Review the changes, make any final adjustments, and confidently share your polished English with the world.
You can count on a personalized, friendly service every time you use TextRanch. We're committed to helping you make a great impression with every word you write.

We proofread and edit these types of texts and documents:

Short texts Business Emails Personal Emails Social media posts Resume and Curriculum Vitae Business documents Sales proposal Research and academic papers Thesis Dissertation Essays Articles Blog posts and much more....

Why choose TextRanch?

Complete Privacy

Your texts are safe and secure with us. We never share your information with third parties.

Affordable Pricing

No subscription fees and rates up to 50% cheaper than other online editing services.

100% Satisfaction

We guarantee that you'll be satisfied with the quality of our service or your money back.

Top Customer Service

Our team is here to help you with any questions you may have. Contact us anytime.

Our Customers Love Us!

We have an average rating of 4.79 stars based on 283125 votes, and

4.9 Excellent - Reviews 2.137

"7 years without any disappointment. Always 100% satisfied. You guys are the best in the world at what you do. Thank you so much :)"

Zubair
from Bangladesh

"I wasn't aware of this service, it's fascinating and more reliable than standard IA tools available on the internet"

Arturo
from Mexico

"In a world of text messages and online communication, this is great to have as a live tool. Thank you."

Selena
from USA

"Wow, it's just so excellent. I never would have believed I could have a sure and excellent English companion. Thanks, TextRanch."

Ifiok
from Nigeria

"This is my first time using TextRanch, and I like how the editors take time to correct my text. To everyone who has never used TextRanch before, I highly recommend trying it."

Wilson
from France

"It is an amazing source of feedback because, as a non-native speaker, I really need to have a reliable helper correct my text."

Susan
from Germany

but as we have shown above vs but as shown above