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Discover LudwigSuggestions(5)
"to the establishment" is correct and usable in written English.
You can use it when referring to a physical place or organization, especially one that is important or influential. For example, "We presented our concerns to the establishment at the meeting."
Dictionary
to the establishment
adverb
With a comparative or more and a verb phrase
Exact(60)
They would, in fact, look foolish to the establishment, to the established ideas.
So economists normally pay more attention to the establishment survey.
Mr. Griffin is still a pariah to the establishment.
Everything minutely done, everything without any concession to the establishment".
As a result, most Israelis are indifferent to the establishment of a Palestinian state.
In 1960 the government held a referendum which led to the establishment of the republic.
It drives a significant amount of traffic to the establishment.
This success led to the establishment of the DGC.
And so we are back to the establishment again.
Different broad approaches to the establishment of SMNs are distinguished.
The first part is devoted to the establishment of the equations governing the shell vibrations.
More suggestions(22)
constraints to the establishment
influential to the establishment
to the installation
to the inception
to the implementation
to the creation
to the provision
to the preparation
to the setting
to the setting up
to the settlements
to the settings
to the foundations
to the determinations
to the building up
to the identified
to the creations
to the schools
to the institutions
to the institution
to the store
to the compilation
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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