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The phrase "a well established fact" is correct and usable in written English.
It can be used to refer to information that is widely accepted and recognized as true or accurate.
Example: "It is a well established fact that regular exercise contributes to better health."
Alternatives: "a widely accepted truth" or "a commonly recognized fact".
Exact(19)
The growth of InxGa1−xN Wurtzite structure is a well established fact.
It is a well established fact that the site amplification/ shaking and damage is large in soil covered areas.
The formation of metastable expanded austenite in austenitic stainless steel after energetic nitrogen insertion is a well established fact.
On The other hand, while the lattice expansion scales directly with the surformationofexpandednt, austeniteotonous influence of the ion flux on the detaustenitic stainlesssteelive stress and stress gradients is observed.
It is a well established fact that nanoparticles of noble metals (gold and silver) exhibit strong antimicrobial properties (Zhou et al. 2012).
It is a well established fact that corneal endothelial cells form a monolayer of mosaic-like cells, with two-dimensional tessellation on the posterior surface of the cornea.
Similar(41)
It is a well-established fact.
It's a well-established fact that dinner is far, far more expensive than lunch.
"His being on the advisory board is a well-established fact," Mr. Allen said.
By now it's a well-established fact that Moscow tried to interfere in the 2016 vote.
For example, the Cambrian Explosion of animal life has been a well-established fact.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com