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The phrase "proof of our" is correct and usable in written English.
You can use it in a sentence to describe something that provides evidence of your point or claim. For example, "These results provide clear proof of our hypothesis."
Exact(60)
They're proof of our imagination's power.
You could admire this independent streak as proof of our local leaders' moral courage.
His achievements are proof of our continuing progress toward the "more perfect union" of our founders' dreams.
These are the product and proof of our unique genius, and we're reluctant to share our glory with previous civilizations.
But we have proof of our figures, and we will defend the people's vote to the end".
We wanted, even needed, him to succeed, because his success would be proof of our own collective evolution.
The proof of our claim is complete.
This completes the proof of our lemma.
Hence the proof of our results follows.
This completes the proof of our claim.
This completes the proof of our theorem.
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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