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"as a logical consequence" is a correct and usable phrase in written English.
You can use it to describe the result of something you predict will happen due to the situation it is in. For example, "As a logical consequence of the economic downturn, business owners have been forced to lay off staff."
Exact(31)
As a logical consequence of this definition, it follows that there is a rational number between zero and any nonzero number.
As a logical consequence, new plates would no longer display département numbers.Yet this was to underestimate the fierce attachment of the French to their départements, first created after the 1789 revolution.
As a logical consequence expenses for the treatment of these patients will increase noticeably.
As a logical consequence, the imaginative experience prompted must include some agent whose expression the music literally is.
As a logical consequence of the shape-based principle of CmME, coarse-grained support has been implemented.
As a logical consequence of a previous experiment using cholinesterase inhibition with physostigmine [ 13], Hofer and colleagues investigated the effect of the central α2-receptors clonidine and dexmedetomidine in a murine model of CLP-induced sepsis [ 14].
Similar(29)
Weisheipl ([1980], p. 243), for example, describes the plurality of forms as "simply a logical consequence of" universal hylomorphism.
However, reciprocal sign epistasis should be pervasive in nature as it is a logical consequence of specificity in molecular interactions.
They seem to be closely related because a logical truth can be understood as one the follows from an empty set of premises, and A being a logical consequence of B can be understood as it being a logical truth that if A then B. There are some questions to be ironed out about how this is supposed to go more precisely.
Since the brain data in dynamic imaging were derived from the remainder, the large deviation in absorbed dose for brain is a logical consequence of the methodology, as opposed to liver and kidneys, which were clearly derived by both methods.
A logical consequence of definitions for life as phenomenon is suggested.
More suggestions(15)
As a natural consequence
As a logical response
As a logical result
As a logical connection
As a practical consequence
As a normal consequence
As a legitimate consequence
As a logical sequel
As a straightforward consequence
As a logical course
As a logical calculus
As a logical exercise
As a logical conclusion
As a logical book
As a logical buyer
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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