The phrase "accepted fact of" is correct and usable in written English.
It can be used to refer to something that is widely recognized or acknowledged as true within a particular context or field.
Example: "It is an accepted fact of science that the Earth revolves around the Sun."
Alternatives: "widely recognized truth of" or "commonly acknowledged fact of".
It was seemingly an accepted fact of life – spoils to the victor.
Still, at Ms. Zheng's shop, less-than-ideal conditions are an accepted fact of life.
Until recently, the gangs were a quietly accepted fact of life.
It is an accepted fact of surgery that the least invasive approach will often be the best approach.
For decades, it has been an accepted fact of British economics that the English earn more than the Scots.
The existence of hazing – the ritual humiliation of new colleagues as part of their initiation – has long been an accepted fact of NFL life.
Everyone has his or her memories of Diane Polley, but most adhere to the communally accepted facts of her life.
Most speakers challenged the accepted facts of the Holocaust or accused Jews of skewing the facts to help justify the establishment of the Jewish state.
The hermetic solitude and the autocracy of the great country house, the demonic power of the family myth, fatalism, feudalism and the "ascendancy" outlook are accepted facts of life for the race of hybrids from which Le Fanu sprang.
"Hidden Figures" takes us back to 1961, when racial segregation and workplace sexism were widely accepted facts of life and the word "computer" referred to a person, not a machine.
Elizabeth Bowen, herself an author of Big House novels, saw a connection between her novels and Le Fanu's: The hermetic solitude and the autocracy of the great country house, the demonic power of the family myth, fatalism, feudalism and the "ascendancy" outlook are accepted facts of life for the race of hybrids from which Le Fanu sprang.
