The phrase "founded on the basis" is correct and usable in written English.
It can be used when discussing the underlying principles or foundations of an idea, theory, or argument.
Example: "The theory is founded on the basis of extensive research and empirical evidence."
Alternatives: "based on the foundation" or "established on the grounds".
It was founded on the basis that everyone deserves the same treatment.
Any utopia founded on the basis of a concept – terra nullius – that has wreaked immense historical destruction, is built on rotten foundations.
The Victorian Liberal leader said: "My party is founded on the basis of giving people the right to vote on their conscience.
"Because, according to the accused, it was founded on the basis of Judaism and its success was due to the fact it tried to keep religion alive".
"The rewards of his industry follow with equal steps the progress of his labor; his labor is founded on the basis of nature, self-interest," Crèvecoeur wrote in "Letters From an American Farmer".
In other words, a party that was founded on the basis of organised labour is in deep trouble if it cannot respond to fundamental shifts in the concepts of organisation and labour.
Belief in Islam is founded on the essential basis of free will.
The euro project itself was founded on the cloud cuckoo basis that countries could share a currency without harmonising economic policies.
However, Desgabets saw a third option, one which is founded on the mind-body union and the sensory basis of all knowledge, and one which founds the proper sense of the empiricist motto, that all ideas originate by the senses.
Ethical Culture calls itself a humanistic religious and educational movement founded on the belief that moral growth is the basis of spiritual life.
In a country founded on the principle of religious freedom, there is an ongoing attempt to demonize a community on the basis of its faith.
