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The sentence "Let us demonstrate" is correct and usable in written English
You can use it to suggest demonstrating something, such as a new process, procedure, or skill. For example: "Let us demonstrate how to set up the tent before going on the camping trip."
Exact(18)
Let us demonstrate it this way.
Let us demonstrate that Europe is a force to be reckoned with.
Let us demonstrate some social solidarity and join the doctors, nurses, therapists, other healthcare workers and members of the public fighting to save our NHS.
Let us demonstrate the capabilities of the proposed system.
Let us demonstrate that inequality (4.10) is best possible in a corresponding case and the condition (4.11).
Let us demonstrate that x neqGamma(lambda,x) for all ((lambda,x) in[0.1] timespartial V_{mathcal{L}}).
Similar(41)
"It's a cool feature that lets us demonstrate the power of smart platforms," says Luke. "On other vehicles, you have to spend $60,000 to $70,000 to make this level of update, but we can give it to consumers for free.
Let us now demonstrate and analyze the metric-based selection in two case studies.
Let us now demonstrate the benefits of larger feasible ranges for the mask values c.
Let us now demonstrate how the data are modeled according to this model.
To demonstrate, let us say that you are trying to call your friend who lives Fukuyama, Japan and you live in San Francisco, CA, USA.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com