"assumption holds" is a correct and usable phrase in written English.
You can use it when you are referring to an idea or belief that has been accepted as true. For example, "The assumption that everyone is good at heart holds true for most people."
That fundamental assumption holds women back".
In my view, neither assumption holds up.
This paper shows experimentally that this assumption holds for a batch ball mill.
But as this book's humbling scholarship demonstrates, not even that latter assumption holds true, hard and fast.
Its assumption holds that a solution to the crisis means market speculation eases, and spreads between peripheral eurozone bonds and their German counterparts gradually recede.
Whether or not that assumption holds, Mr. Donner seems happy to perpetuate it, leveraging the city's glamour and exporting its elegance.
Scalia's arguments are demonstrably a bad fit for research universities — where his logic was being applied — which confront complex problems where neither assumption holds.
This assumption holds for cases of coarse-grained traceability where an entire workflow is subjected to repetition and all workflow parameters contribute to all results.
While the normality assumption holds in most cases, in many continuous-flow processes such as the chemical processes, serial samples have some degrees of autocorrelation associated with them.
This assumption holds for most WLANs, but in wireless mesh networks traffic could be bottlenecked either by the access link or by the bandwidth-limited wireless backhaul.
The resulting net has the minimal number of control places on the premise that the assumption holds, and possesses all permissive states of a plant.
