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"is a further proof" is correct and usable in written English
You can use it when you want to emphasize that an argument or piece of evidence further strengthens your point or supports your claim. For example, "The fact that the suspect was seen near the crime scene is a further proof that they are guilty of the crime."
Exact(13)
Enether failed, but the footage of his death is a further proof that Hamas will use anything as propaganda to further its sacrificial war.
What can already be observed is that the number of case studies and software solutions adopting CityGML and the Energy ADE is slowly but steadily growing, and this is a further proof of how such a standardisation process is needed and beneficial to the development of newer, smarter solutions.
The all too frequent establishment and then disbandment of federal police forces (the latest victim being the AFI) is a further proof that the problem of creating trustworthy and efficient institutions goes further than simply changing name and logo.
This is a further proof that the hydrophobic collapse is a fundamental milestone in the folding process.
This is a further proof of concept for GWA to detect genes relevant for highly complex phenotypes.
The large number of genes in common extracted with two completely different methodologies is a further proof of the robustness of the adopted strategy.
Similar(47)
The intra-examiner reliability of CBCT measurements could be a further proof that the deviation derived from those manually adjustments is still desirable, suggested as another 3D bone structure analyses using CBCT.
This can be considered a further proof that mechanical (secondary) hyperalgesia not only has its distinct coding in the human brain, but also that the same neurological symptom is coupled with to the same gross neuronal network regardless of the underlying etiology (capsaicin or ET-1) that causes the development of a secondary hyperalgesic syndrome.
A further proof is that C57BL/10ScCr mice carry a large deletion mutation and do not express TLR4 mRNA.
The fact that U.S. head of development marketing Chanse Arrington put up a poll is only further proof of that.
"The fact that they did not name Daniel Schuler as a defendant is further proof that, of course, he's not responsible criminally or civilly," he said.
More suggestions(17)
is a further test
is a further justification
is a further testament
is a further indication
is a further evidence
is a further demonstration
is a further endorsement
is a further problem
is a further step
is a wonderful proof
is a negative proof
is a further abdication
is a further curiosity
is a further sign
is a further danger
is a further blow
is a further twist
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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