The phrase "adequately establish" is correct and usable in written English.
You can use it when discussing the sufficiency or effectiveness of evidence or arguments in proving a point or claim.
Example: "The research findings adequately establish the link between diet and health outcomes."
Alternatives: "sufficiently demonstrate" or "effectively prove".
"Furthermore, the judge said the officer in the Ventura case did not adequately establish reasonable suspicion or properly articulate probable cause for a trespassing arrest".
FIRST awards excluded not only experienced investigators but also young investigators who could not adequately establish their scholarly independence; in most cases this excluded postdocs from consideration.
Unravelling the mechanisms involved in adaptation to flooding will help design management options that will allow tolerant rice genotypes to adequately establish in flooded soils while simultaneously suppressing weeds.
Court-appointed lawyers for several of the American defendants assert that prosecutors never adequately established their clients' identities.
It's all too easy to end up, as here, with an unwieldy cast – 16 named characters, none adequately established – and drowning in exposition.
The results show that the validity and reliability of the scale for measuring ELPs are adequately established.
If high certainty of storage permanence cannot be adequately established prior to injection, injection should not be started or continued.
The Florida Supreme Court suppressed the evidence, saying that prosecutors had not adequately established the reliability of Aldo's nose through comprehensive documentation of his performance in earlier searches.
This year the Food and Drug Administration and the Centers for Disease Control and Prevention released a warning about Lyme tests "whose accuracy and clinical usefulness have not been adequately established". The warning did not mention IGeneX or any other lab by name.
The $2 billion nontraded real estate investment trust called Apple REIT Ten was marketed by Mr. Lerner's firm to investors without adequately establishing whether the securities were suitable for the investors and by misrepresenting performance results, according to Finra.
The questioning was sedate, and the defendant's lawyer, Glen P. Gifford, seemed to gain little traction for his argument that Aldo's reliability had not been adequately established.
