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The phrase "a consequence of this" is correct and usable in written English.
It can be used to indicate that something is a result or outcome of a previously mentioned situation or action.
Example: "The new policy was implemented to improve efficiency; however, a consequence of this was increased employee dissatisfaction."
Alternatives: "as a result of this" or "due to this".
Exact(60)
Orthogonality of the eigenvectors is a consequence of this accuracy.
As a consequence of this compression, the air is warmed.
An "induced" cometary magnetosphere is a consequence of this interaction.
How serious are the increased risks of retaliatory terrorist strikes as a consequence of this move?
They've developed a relationship as a consequence of this search process".
"As a consequence of this, there won't even be a game".
As a consequence of this plan, agents of the Guardian's Office were arrested in 1979.
The nation's crisis has been deepened as a consequence of this political paralysis.
As a consequence of this, sick people did not seek medical help at weekends.
As a consequence of this special treatment, almost all Mariel immigrants eventually received legal residency.
You should know yourself better as a consequence of this experience.
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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