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The phrase "a pure consequence of" is correct and usable in written English.
It can be used to indicate that something is the direct result or outcome of a specific cause or factor.
Example: "The increase in sales was a pure consequence of the new marketing strategy we implemented."
Alternatives: "a direct result of" or "an outright result of".
Exact(2)
This last condition is a pure consequence of the fact that we are thinking in a discrete way, using integers.
The fact that the transient state is either to the left or to the right of the filament implies that it cannot be a pure consequence of the attached lever arm swing.
Similar(58)
Each culture defines what is pure and impure and the consequences of purity and pollution differently from every other culture, although there is considerable cross-cultural overlapping on certain beliefs.
Instead, breeding became more orderly as a consequence of pure line theory, which structured breeding programmes and eliminated external heritable influences.
Production of hybrid offspring by pure females represents a major consequence of breeding in heterospecific aggregations.
Four consequences of a $15 minimum wage.
A pure instrument of social resistance?
This is a pure question of law.
It's a pure transmutation of energy".
This was a pure expression of confidence.
"It was a pure piece of crap.
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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