The phrase "a real establishment" is correct and usable in written English.
It can be used to refer to an actual, legitimate organization or institution, often to emphasize its authenticity or credibility.
Example: "The restaurant has been in business for over 50 years, making it a real establishment in the community."
Alternatives: "a genuine institution" or "an authentic organization".
He heads to Davy Byrne's on Grafton Street, a very real establishment in business to this day.
"It's kind of sad because its was a real community establishment," said Klaus Schmidt, a Stamford restaurant owner who said he knows the Bongiorno family and was a regular customer.
Although all legal firms have an online presence nowadays, yet there must be a real life establishment for the law firm.
Correlation between the inferred and real establishment times and mean haplotype fitness statistics for all simulations are detailed in Supplementary Table S1.
Mads Brandstrup, political editor at financial news daily Borsen, said if a large part of the DPP vote was down to "the aftermath of the economic crisis, a real anti-establishment backlash", there was a risk that unless the mainstream parties "start taking the problems of real people seriously" they may not regain their former unquestioned dominance.
Few corners are cut and few accommodations made to timid eaters; this is not what the Italians would call a trattoria (unlike the other places here, more or less), but a real ristorante, an establishment that focuses on traditional dishes done in the highest possible style.
The Tea Party, sans a codependent relationship with the Republican Party, is causing a real problem for establishment Republicans.
The final category would be the inside outsiders, or the anti-establishment politicians -- people with some political experience who still offer a real challenge to the establishment candidates.
Many Trump supporters argue that their candidate is a real person, unlike the "establishment" politicians in Washington.
Only Mali seems to have become engaged in the development of a real institutional framework, the establishment of regulatory and fiscal tools, and the implementation of a strategy document.
