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The phrase "assumptions of" is correct and usable in written English.
It is often used to introduce a list of assumptions that you are making. For example: "The following paper is based on the assumptions of limited resources, few personnel, and limited technological capacities."
Exact(60)
Assumptions of superiority, though, have wobbled.
It challenges assumptions of value and use".
It challenges the patriarchal assumptions of the playwright's tragic trilogy.
The assumptions of the audience can be overturned.
The assumptions of HS2 are very unclear," they say.
Even now, the old assumptions of benevolence persist.
Cyprus Avenue lays bare the assumptions of prejudice.
The assumptions of the DBA are significant.
Statistical models are, ultimately, based on assumptions of human behavior.
All assumptions of Lemma 5 are satisfied.
under the assumptions of Theorem 3.3.
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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