The phrase "prove clearly" is correct and usable in written English.
It can be used when asking someone to provide evidence or reasoning that is easily understood and convincing. For example: "Please prove clearly that your experiment was conducted accurately by including the data and results in your report." Another example could be: "The lawyer attempted to prove clearly that the defendant was innocent by presenting a strong alibi and multiple witness testimonies."
However, several investigations prove clearly that in the high-cycle regime a decrease of fatigue strength with increased number of cycles still occurs, even if corrosion or temperature effects are excluded.
That pay-as-you-go business concept was first introduced by a U.S. company called Helix, but it has yet to prove clearly successful (see "10 Breakthrough Technologies 2016: DNA App Store").
As the annual groans about Glastonbury's corporatisation prove, clearly some people don't get tired of wheeling out the same old non-complaints, now matter how worn they might be from overuse.
The spectroelectrochemical results prove clearly the existence of two electroactive moieties integrated in the polymeric lattice, the phenothiazine ring (detected by changes of absorbance at 590 and 685 nm) and the newly formed covalent links which fixes the monomers in the backbone of the polymer (detected by changes of absorbance at 460 and 875 nm).
Two facts prove clearly that Burley changed his mind because of his having come into contact with Ockham.
The results of the measured clinical parameters prove clearly that STGs can be applied for treatment of peri-implantitis particularly in cases of unfavorable bone defect morphology.
I believe that this has to some extent been proved clearly by the documents which have been made known here.
In baseball, one man doesn't make a champion or even a final four team, as Trout has proved clearly.
The strength of our study is that we proved clearly that a limited set of cancer-related genes is suitable to assess the degree of TH.
On the other hand, if the economy had fallen into a Japan-type deflationary trap, Greenspan would have been proved clearly wrong.
What's more, the switchable through-bond energy transfer mechanism was proved clearly by femtosecond transient absorption spectroscopy and density functional theory (DFT).
