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The phrase "assumption is inconsistent with" is correct and usable in written English.
It can be used when discussing a situation where a particular assumption does not align with established facts or evidence.
Example: "The assumption is inconsistent with the data collected during the experiment, which clearly shows different results."
Alternatives: "assumption contradicts" or "assumption conflicts with".
Exact(4)
This assumption is inconsistent with 802.11 basic access scheme.
However, this assumption is inconsistent with the reality when considering the characteristics of different service applications.
This assumption is inconsistent with the geodetic observations that show rapid compressional deformation of the Japanese Islands; rheological studies suggest that considerably high stress is required to deform the island-arc crust (Shimamoto1993; Muto and Ohzono2012).
However, this assumption is inconsistent with the law of mass action.
Similar(56)
Some of these assumptions are inconsistent with more recent evidence.
We know however, that these regulatory assumptions are inconsistent with the known biological effects of low doses.
Furthermore, the assumption of adiabatic mass loss is inconsistent with binaries in which the orbital timescale is longer than the mass-loss timescale.
The problem caused by the assumption of fixed bit location, which is inconsistent with the actual drilling, is solved by simulation of dynamic well bottom using virtual grid.
With (tau) interpreted as the local rise time, setting (tau = infty) is inconsistent with the assumption that the seafloor completes its deformation over a timescale smaller than the tsunami propagation time over horizontal wavelengths characterizing the deformation profile.
Second, the assumption of a fixed-matrix mineralization is inconsistent with the established action of many common antifracture therapeutics [ 10].
If fitting this indolent cancer parameter does not decrease the deviance measure from our Simple Model, then the simulation result is inconsistent with an assumption of serious over-diagnosis (Over-diagnosis Model).
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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