The phrase "assertions on which" is correct and usable in written English.
It can be used when referring to the basis or foundation of certain claims or statements.
Example: "The conclusions drawn in the report are based on assertions on which the research was founded."
Alternatives: "claims upon which" or "statements that underlie".
If you are seeking to protect your authority, why draw attention to evidence that seems to contradict the assertions on which that authority is founded?
That level of irritation and outrage has intensified over time, precisely because many of the core assertions on which the Trump campaign is built continue to be false.
This precludes categorical assertions on which of these methods yields the most correct divergence time estimates.
It was the media who were very confident in Clinton's chances". Democrats and Republicans in recent years haven't seemed able to agree on the time of day, but there is one assertion on which they've found common ground: Polling and data analytics took a spectacular face-plant in the 2016 election.
"I've passed two lie detectors that show I don't have any involvement in this," he added, an assertion on which the authorities have declined to comment.
One assertion on which there was widespread agreement was that the infrastructure of the Internet will be the target of "at least one devastating attack" in the next 10 years.
But that assertion depends on which test results are analyzed.
But from here it looks like the Taylor rule on fiscal policy is that Obama is always wrong, and that state and local governments are either cash-constrained or not cash-constrained, depending on which assertion is needed to back up that position.
Aside from one truncating mutation (Suzuki, et al., 2009) all of the mutations on which these assertions rest are based on sequence variation predicted to have no functional consequence.
The ultimate ruling in the case, the company said, was partly based on "assertions which were not included in the statement of objections issued in April 2000, and which the company has therefore not been able to refute".
That was hardly the first time Mr. Mnuchin made that patently absurd assertion nor the only occasion on which he and other members of the Trump administration had similarly misled the public about the nature of the tax plan.
