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The phrase "a rigorous consequence of" is correct and usable in written English.
It can be used when discussing logical outcomes or results that follow strictly from a set of premises or conditions.
Example: "The theorem demonstrates that a rigorous consequence of the initial assumptions is the conclusion we reached."
Alternatives: "a strict result of" or "a definitive outcome of".
Exact(1)
Thus, oxygen exchange at 1- O-ribose during the macrodomain catalyzed reaction is not a rigorous consequence of the proposed 1- O-hydrolysis mechanism.
Similar(59)
This resulted in a rigorous assessment of effect.
A feared consequence of rigorous glycemic control is an increased incidence of hypoglycemia (49, 50).
"Following a CQC inspection in early 2011, and as a consequence of rigorous clinical governance within the trust, significant changes have been made to ensure patient care is excellent which is resulting in the trust currently producing a SHMI below the national average.
It would indeed be folly not to insist on a rigorous evaluation of the economic consequences before joining the monetary system.
We undertake a rigorous assessment of the economic consequences of this policy change for the whole system, in terms of its impact on final electricity prices.
The Global Poverty & Practice Minor is a unique program providing a rigorous understanding of the sources and consequences of poverty as well as direct engagement with poverty action fieldwork.
However, such intervening events as having affected relatives and seeking regular medical care are not necessarily limitations to the study, as they are likely common aspects of being a member of a high-risk melanoma-prone family and, in the case of more rigorous professional screening, a desired consequence of genetic counseling and test reporting (26).
According to the foundation's director, Kati Haycock, the new data show smaller gains in high school than in the lower grades, a consequence of a less rigorous curriculum that includes fewer challenging reading assignments than a decade ago.
Again, a rigorous test of all hypotheses is critical.
"This is a rigorous course of study," he said.
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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