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The phrase "dropping the assumption" is correct and usable in written English.
You can use it when you want to indicate that you are no longer considering a particular assumption as valid or relevant.
Example: "In our discussion, we should focus on the evidence rather than dropping the assumption that everyone agrees with the initial premise."
Alternatives: "discarding the assumption" or "abandoning the assumption."
Exact(7)
A recent criterion for subnormality of weighted shifts on directed trees by the present authors is essentially improved in the case of rootless directed trees and nonzero weights by dropping the assumption of density of C∞-vectors in the underlying ℓ2-space.
Therefore, besides dropping the assumption that the connection is related to the metric, we will also drop the assumption that the connection is symmetric.
Our goal is now to emulate the above construction while dropping the assumption that the linear parts of the maps f n are diagonal.
In Kochen's words: "The basic change in the classical framework which we advocate lies in dropping the assumption of the absoluteness of physical properties of interacting systems… Thus quantum mechanical properties acquire an interactive or relational character".
Third, he considered dropping the assumption that w is closer to itself than any other world, or even the assumption that w is among the worlds that are closest to it.
The aim of this paper has been to examine the consequences of dropping the assumption that individuals choose their strategies to maximize an instantaneous change in utility function at each iteration along the procedure.
Similar(53)
One other well-explored category of deviation from the standard framework simply drops the assumption that people are fully informed.
In order to arrive at the conclusions of the "General Theory," then, Keynes had to drop the assumption that wages would fluctuate greatly.
When you are concerned, as I have been, with situations in which increasing returns are crucial, you must drop the assumption of perfect competition; you are also forced to abandon the belief that market outcomes are necessarily optimal, or indeed that the market can be said to maximize anything.
We may also drop the assumption that singular terms are rigid designators and thus allow nonrigid designators.
Next, we can drop the assumption of continuity of F by assuming that ( X, d, ⪯ ) preserves the mixed-monotone convergence.
More suggestions(19)
weakening the assumption
dropping the expectation
dropping the course
dropping the concept
dropping the requirement
abandoning the assumption
reducing the assumption
dropping the principle
discarding the assumption
discard the assumption
dropped the assumption
lower the assumption
drops the assumption
dropping the gathering
dropping the deadline
dropping the novel
dropping the site
dropping the series
dropping the price
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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