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The phrase "after having established" is correct and usable in written English.
It can be used to indicate that something was done prior to another action or event.
Example: "After having established a solid foundation, the team moved forward with the project."
Alternatives: "after establishing" or "once established".
Exact(48)
I have recently established a university after having established 115 schools.
After having established himself near Tunis, Tunisia, Arafat turned once again to diplomatic initiatives.
After having established that her very favorite painting "in the whole world," Van Gogh's "Starry Night," was actually there for her to see, we got to the Seurats.
Years & Years won after having established a fanbase through their self-made videos and a support slot on Smith's sold out 2014 tour.
The band's trajectory has been the opposite of John's; they had to prove their skill as writers after having established a reliable devotion to sequins.
After having established his own short-lived newspaper, the Daily Star, in Sapele in 1951, he moved into the orbit of the Action Group AGG), the newly formed political party of Obafemi Awolowo.
Similar(11)
In 1884, after having establish congregations throughout the country, he incorporated the sect under the name of the Watch Tower Bible & Tract Society.
This re-distribution started at day 4 after the diet change, clearly after hyperglycaemia had established (day 2).
I met him first just after he had established this record.
He sent for his wife and daughters after he had established a private practice in Los Angeles.
After Clinton had established a broad lead, there remained one especially tempting reason to run.
More suggestions(15)
after having been
after having organized
after having determined
after having provided
after having discovered
after having done
after including established
after having visited
after being established
after having served
after becoming established
after having begun
after employing established
after having jettisoned
after having accomplished
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com