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The phrase "a proof of that" is correct and usable in written English.
The phrase can be used to emphasize that something has been proven or is now accepted as fact. For example, "The survey results provide a proof of that, showing an overwhelming majority of people support the proposed policy."
Exact(10)
Organic farming is a proof of that.
It's as close to a proof of that theory as you are going to get," says Peiris.
As a proof of that, 4D-CHAINS traced 99% of TOCSY peaks as intraresidue NOE correlations and 89% as sequential NOE correlations.
A firm believer that no system of risk management, however sophisticated, could completely take into account the infinite variety of human character, he was himself a proof of that general rule.
A combinator that inhabits an implicational theorem encodes a proof of that theorem in the deduction system TACL.
As a proof of that, let us consider two misaligned range profiles as shown in Figure 24.
Similar(50)
But this would be a proof-of-concept that could be widely applied in the coming years.
These results provide a proof-of-concept that gene promoter methylation is associated with tumor multiplicity.
"That gave us a proof-of-market that women really want well-designed products made just for them".
This evidence constitutes a proof-of-concept that clinical exposure to SAHA might disrupt latent infection42,43.
Hive was a proof-of-concept that you could build a data warehouse on top of HDFS and MapReduce.
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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