"proved convincingly" is correct and usable in written English.
You can use it when you want to express that a statement or argument has been verified through sound evidence or logical reasoning. For example, "The validity of the research was proved convincingly by the scientist's thorough analysis of the data."
Merck, for instance, undertook a study that proved convincingly that its anticholesterol drug Zocor saves lives.
In 1972, in Esquire, Peter Bogdanovich proved convincingly that Welles had transformed Mankiewicz's script from the literary to the filmic.
The Fort Hood shootings proved convincingly that political correctness is lethal.
"We decided that that was not the best approach to use going forward," Dr. Feigal said, in part because measuring red blood cell numbers does not prove convincingly which drug helps patients more.
Government agencies and insurers should always favor the cheapest among drugs in the same class, according to Dr. Temple, unless a drug maker spends the millions needed to prove convincingly that its more expensive drug is more effective.
But what the Internet and its descendants teach us is that there are now new models for doing things together, success stories that prove convincingly that you don't need bureaucracies to facilitate public collaboration, and you don't need the private sector to innovate.
Few cases of ectopic insulin secretion have been reported though some are not proven convincingly.
Although the device has been shown to accelerate wound healing, its mode of action remains to be proven convincingly.
Two major methodological challenges are to prove convincingly that specific aspects of neurofeedback therapy mediate positive effects and that these effects are comparable or superior to appropriate control treatments.
Using optogenetic activation as well as genetically targeted ablation in mice, Domingos and colleagues prove convincingly that neurons identified by production of the neuropeptide MCH are responsible for the differential reward value of sucrose versus sucralose.
The era of "guessing" at caloric needs with equations must end--we would not guess at the blood pressure while administering vasopressors, so why should we guess at caloric needs when the epidemic of obesity and the increasingly older ICU patient have proven convincingly that we are not good "guessers" [ 17].
