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The phrase "a cornerstone with" is correct and usable in written English.
It can be used to describe a fundamental element or principle that is associated with something else, often in a metaphorical sense.
Example: "Trust is a cornerstone with which we build strong relationships in our community."
Alternatives: "a foundation of" or "a key element of".
Exact(3)
"Just a cornerstone with everyone's name on it who died, and that's it".
While Tradition could be a cornerstone with which to build an orderly life for all, or a rock against which an upstart would smash in his willfulness, it could also become, in the hands of one clever enough, soft as sculptor's clay, remolded into little more than suggestions.
We believe that this represents a cornerstone with regard to the design of effective strategies for the monitoring of the 'epidemic' CS rates currently existing in Taiwan.
Similar(56)
He created the cash economy-a cornerstone of capitalism-with a brilliant insight: Money is the enemy of caste and stagnation.
This is the second time in two years that the Ravens have locked up a franchise cornerstone with a deadline deal.
Chinook salmon is a cornerstone species with key economic and ecological impacts throughout the North Pacific Ocean and its freshwater drainages.
Consequently, the CRC can be viewed as a "cornerstone" document; with the dual distinction of (1) having been unanimously approved by the UN's General Assembly; and (2) being the most universally ratified UN treaty to date [ 8], the CRC offers a comprehensive statement on paediatric human rights.
As Boston's first new art museum in decades, the I.C.A. is already a cultural cornerstone, with rotating exhibitions and a permanent collection with works by Nan Goldin, Cornelia Parker and Julian Opie.
In post-conflict countries like Somalia, jobs are a cornerstone of development, with a pay off far beyond income alone.
A Shot at Responsive Corporate Citizenship The multi-year saga of Forest City Ratner's Atlantic Yards development, of which the stadium is a cornerstone, is strewn with a litany of community complaints: Eminent domain seizure of homes and beloved watering holes.
Within the septic shock treatment armamentarium, a directed approach that includes both appropriate and timely antimicrobial therapy continues to be a cornerstone of treatment, with ample evidence supporting an association between inappropriate or delayed prescription of antimicrobials and increased patient mortality [ 6- 9].
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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