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The phrase "experimental proof" is correct and can be used in written English.
You can use this phrase when referring to evidence obtained from controlled experiments. For example, "The experimental proof suggests that increasing the temperature increases the rate of reaction."
Exact(60)
Experimental proof of their benefit needs to be provided at multiple levels in research fields.
Experimental proof has recently been reported by Saboktakin et al. [64].
The Economist on experimental proof of George Kelling's broken-windows theory of social order.
The nanotube thermal rectifier is the first experimental proof that such a device works.
One well-known effort, verging on old age and lacking experimental proof, is string theory.
"There are no direct measurements of testicular temperature in dolphins," the team noted, emphasizing the lack of experimental proof.
Though happy with the anatomical findings, Dr. Rommel was uneasy with the cooling hypotheses and longed for experimental proof.
"But," she warns, "if that idea is going to be reality, you need to have experimental proof".
An experimental proof was furnished in 1916 by American geneticist Calvin Blackman Bridges.
A rationalist, he insisted upon the necessity of supporting any theory with concrete evidence and experimental proof.
The awards can go to much younger researchers than typically receive the Nobel prize, as experimental proof of theoretical work is not required.
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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