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"is comprehensively demonstrated" is a grammatically correct and usable phrase in written English.
You can use it to emphasize the extent to which something has been proven or shown to be true. For example, "The effectiveness of this new medication is comprehensively demonstrated by the results of numerous studies."
Exact(1)
The efficiency and reliability of the proposed method is comprehensively demonstrated through numerous examples.
Similar(59)
The best evidence for this was in The Spirit Level, in which it was comprehensively demonstrated that income inequality is the best predictor for social unrest as well as many other ills.
The significant impact of hydrogen bonds on synergetic photocatalysis was comprehensively demonstrated.
In order to demonstrate a portion of the aforementioned system's potential, a set of five proposed educational experiments and exercises that may be performed through the Internet is being comprehensively demonstrated in this paper.
It has been comprehensively demonstrated that DNA is present in biofilms [8], [9] and that it plays an important structural role in biofilm architecture [11], [13], [20], [21].
The exact function of LEA proteins is as yet, unknown, but their importance in desiccation and stress tolerance has been comprehensively demonstrated.
In particular, the numerical results demonstrate that the entire supply chain is "comprehensively" efficient only if efficient supplier manufacturer and manufacturer distributor relationships are established.
Keeping this in view, another interesting and reliable option i.e. Dielectric Pocket TFET (featuring a dielectric pocket placement near tunneling junction) has been comprehensively and qualitatively demonstrated using ATLAS device simulator.
None of this traffic is comprehensively mediated.
Alex's life, too, is comprehensively recorded.
So the real issue is comprehensively ducked.
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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