The phrase "upon establishing" is correct and usable in written English.
It is most commonly used when referring to establishing something as a fact or precedent. For example, "Upon establishing that the employee had lied, disciplinary action was taken."
After two years with Gruner, he visited Pestalozzi at Yverdon, studied at Göttingen and Berlin, and eventually determined upon establishing his own school, founded on what he considered to be psychological bases.
Therefore, the successful management of ischemic stroke is dependent upon establishing the diagnosis and initiating treatment as quickly as possible.
Upon establishing cluster maps, some nodes which are members of more than two clusters become joints and combine them into a global coordinate system.
Upon establishing a credit system, the secondary transmitters alternate between relaying for the primary system and accessing the spectrum for their own use.
Upon establishing baseline performance, additional manipulations, including presentation of a visual distracter and increasing the length and variability of the inter-trial interval were conducted.
In this case the phone requesting the webpage downloads half of the total amount of data from the cellular link and, upon establishing a connection, receives the other half via Bluetooth from the cooperating phone.
The proliferation of clinics, however, comes at a time when there is still no agreed-upon, established formula for treating the injuries.
Virgin's philosophy, Mr. Branson said, is to improve upon established businesses by adding a Virginesque sensibility.
The organization added that "such a measure is not based upon established medical science".
They printed daring or unconventional short stories and published attacks upon established writers.
Until we revise economic incentives to reward medical decisions based upon established scientific evidence and good medical outcomes, we will never control costs or experience better results.
