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The phrase "a basis upon which" is correct and can be used in written English.
It is typically used to refer to a foundation or starting point on which to build. Example: This research paper provides a basis upon which to further explore the topic.
Exact(27)
This study provides a basis upon which effective intervention programmes can be designed.
"There should be some kind of requirement that these providers establish a basis upon which interoperability can occur," he says.
Upon my reading of the statute, I conclude that the language "grounds of contest" unambiguously means: a basis upon which a plaintiff can establish a cause of action.
A wide exposure to great literature, it is claimed, provides a basis upon which we may feel more deeply, understand more widely, become better.
While the framework forms a basis upon which a distributed, collaborative support system may be built, no such design is presented here.
"We have a basis upon which we can go forward and recommend it [the deal] to our party, to the other parties in Northern Ireland and to the community.
Similar(33)
Although the question whether an attorney has a "reasonable basis" upon which to develop a legal theory may arise in a variety of contexts, we confine our attention to the specific situation presented here: one in which this Court has articulated a constitutional principle that had not been previously recognized but which is held to have retroactive application.
After arguing that many of the requests that the Prosecution characterised as unfulfilled had in fact been fulfilled, Serbia and Montenegro rejected the proposition that anything in the Statute or Rules provided a legal basis upon which a chamber could grant a party access to state archives (see Prosecutor v. Milošević 7 February 2003, paras. 5 6, 8 17).
But we need not decide whether a warrant may be issued solely on hearsay information, for in any event we find this complaint defective in not providing a sufficient basis upon which a finding of probable cause could be made.
The Court found it unnecessary to decide whether a warrant could be based solely on hearsay information, for the complaint was "defective in not providing a sufficient basis upon which a [p277] finding of probable cause could be made". Ibid.
These courts have found that the negligent failure to prevent a suicide is an insufficient basis upon which to rest a Fourteenth Amendment due process claim under 42 U.S.C. § 1983.
More suggestions(16)
a base upon which
a platform upon which
a starting point upon which
a war upon which
a plate upon which
a substrate upon which
a firmament upon which
a table upon which
a plane upon which
a colloquy upon which
a principle upon which
a uniform upon which
a vehicle upon which
a topic upon which
a country upon which
a screen upon which
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com