The phrase "adequately prove" is correct and usable in written English.
It can be used when discussing the sufficiency or effectiveness of evidence or arguments in demonstrating a point or claim.
Example: "The researcher must adequately prove their hypothesis through rigorous testing and analysis."
Alternatives: "sufficiently demonstrate" or "effectively establish".
The judge at his trial said prosecutors had failed to adequately prove he had acted "recklessly", suggesting the state's attorney's office had mischarged Servin.
In order to adequately prove the case for dismantling HBCUs, it would be necessary to show that students who attend them would do as well in other universities and that HBCUs no longer serve a useful purpose.
Hundreds of thousands of Israelis, mostly Russian immigrants and their children, are barred from marriage and adoption because they cannot adequately prove their Jewish identity; only conversions conducted by rabbinate-authorized rabbis are accepted.
According to a memorandum, dated Thursday, and written by Dr. John A. Moore, the agency's Assistant Administrator for pesticide and toxic substances, the studies submitted by Monsanto in January did not adequately prove that the genetically engineered pesticide, made from live, altered bacteria, would not damage the environment.
Israel's attorney general, Yehuda Weinstein, said Thursday in a report announcing his decision that he could not adequately prove a link between Mr. Lieberman and the money, though he said, "The suspicions against Lieberman's series of intricate and intertwined, underhanded actions cannot be ruled out".
Although epidemiologic and field studies can establish patterns and correlations, they cannot adequately prove causation.
Drucker's expertise was the art of managing people, but it was "by no means adequately proven", he wrote self-effacingly, that this was even possible.
The general director of the city government, Francisco Garduno, said residents behaved adequately, proving that there was no need for the government to retain the law.
Berkovits, quoted in the Toronto Star, said, "We are disappointed that the Crown decided that this case could not be adequately proven to find a verdict of guilty.
Despite the current emphasis on restoring drained peatlands, many of the predicted responses to restoration are still not adequately proven and the mechanisms behind them still uncertain.
Wood may be perceived as new and innovative while not considered as adequately proven as steel and concrete with regards to engineering aspects.
