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"proved efficiency" is correct and usable in written English.
You can use it to describe something that has been demonstrated or shown to be efficient. For example, "The company had proved efficiency in producing their products at a lower cost than their competitors."
Exact(2)
It has been observed that a slave was a better investment than a son, whose claim was not based upon proved efficiency.
These authors proved efficiency of their approach.
Similar(58)
If companies like Paul Rak's can so easily prove efficiency's merits, why isn't everyone on the bandwagon?
Viability of EC cultures exposed to washing solution served to prove efficiency of washing.
This paper will show two well-known numerical examples to prove efficiency.
Non-imprinted polypyrrole layer was formed on similar substrate in order to prove efficiency of imprinted polypyrrole.
Moreover, sensitivity analysis of both models also proves efficiency of the prediction capability and generalization of the data.
A good agreement between simulated performances of the final design with targeted specification proves efficiency of the methodology.
The results obtained after mathematical analysis and simulation are found useful to prove efficiency of layered compression scheme.
TQAM has a proven efficiency against SQAM in terms of error probability performance and detection complexity in [6, 7].
This empirically confirms the proven efficiency and reliability of the Faermann estimator η h.
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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