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The phrase "above mentioned premises" is correct and usable in written English.
It can be used in legal or formal documents to refer back to premises that have been previously stated or discussed.
Example: "The parties agree to the terms outlined in the above mentioned premises and will proceed accordingly."
Alternatives: "previously stated premises" or "aforementioned premises".
Exact(1)
The above mentioned premises are the basis of a detailed analysis of the morphology of this species, particularly in aspects that may be the direct cause of certain diseases.
Similar(59)
and the above mentioned traits.
Sesame lignans minimizes the above mentioned effects.
There peoples suffers much for the above mentioned reason.
The proposed model ranked well against the above mentioned metrics.
The mathematical model is developed considering the above mentioned parameters.
Distributions were derived from the above mentioned meteorological database.
A sample problem is solved using the above mentioned method.
We therefore used the above mentioned design.
Immunoblotting supported the above mentioned results.
See the text for above mentioned references.
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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