The phrase "purpose of establishment" is correct and usable in written English.
You can use it when you want to refer to the reason something has been set up or created. For example, "The purpose of establishment of the company was to develop groundbreaking technology."
"But the purpose of the Establishment Clause," Justice Breyer continued, "is to allow parents to raise their children in the religion of their choice".
A store sign had to be bold, eye-catching and immediately recognizable, so that customers would understand the purpose of the establishment.
The purpose of the establishment clause, they argue, is to ensure that state-sponsored gatherings (such as sporting events at public schools) do not endorse the viewpoint of one religious group at the expense of another.
The main purpose of its establishment is for improving road safety, however, it is now considered for commercial purposes.
The construction of the high temperature engineering test reactor (HTTR) started in March 1991 for the purpose of the establishment and advancement of basic HTGR technology, as well as the application of advanced research.
All participants agreed with written informed consent described the purpose of the establishment of a program for health promotion about diseases related with lifestyles.
The Council of Ministers agreed that the Minister of Agriculture and Co-operatives should be permitted to authorise the rent of degraded forest land, within the National Forest Reserve, to private individuals for the purpose of plantation establishment.
The establishment of predictive validity for an animal model is very important for the purpose of establishing it as a useful tool to discover new treatments [ 4, 5].
The purpose of these establishments was the acceleration of the decontamination and decommissioning activities around the TEPCO Fukushima 1st Nuclear Power Plant.
Thus far the chief purpose of our military establishment has been to win wars.
