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The phrase "after reference to" is correct and usable in written English.
It can be used when indicating that something is being done following a mention or citation of a particular source or topic.
Example: "The findings were discussed after reference to the previous studies conducted on the subject."
Alternatives: "following mention of" or "subsequent to citing".
Exact(6)
We applied full double data-entry by two key-punch operators working independently, subsequently comparing databases to remove errors after reference to the original forms.
I see reference after reference to how OPW is changing the debate in Washington.
Israeli Prime Minister Netanyahu made reference after reference to the need for two peoples, each with a stake and claim in the region, to live side by side.
At the 1974 meeting, one copper-nickel Eisenhower dollar was discovered which weighed 15 gr below specification; after reference to the rules, the coin was deemed barely within guidelines.
A computer program routinely compares the programmatic and research databases, and all discrepancies are reconciled in the research database after reference to the paper chart.
After digestion in a single tube, the samples were subjected to liquid chromatography-tandem mass spectrometry (LC-MS/MS) analysis, whereupon each protein was identified after reference to a protein database.
Similar(54)
Most Muslims use the untranslated Arabic phrase (meaning 'if God wills') after references to future events.
After referencing to the healthy group, gender-specific multivariate-adjusted rates of decline in eGFR and differences in the rates of decline were calculated for both CKD and at-risk groups.
However, after referencing to the healthy group, the rates of decline in eGFR in men in the at-risk and CKD groups were greater faster than the corresponding rates in women (at-risk group: 0.10 mL·min-1·1.73 m-2·yr-1 vs. -0.03 mL·min-1·1.73 m-2·yr-1 and CKD group: 0.44 mL·min-1·1.73 m-2·yr-1 vs. 0.15 mL·min-1·1.73 m-2·yr-1).
Gulliver is still munching humble pie after his reference to "Frisco" in last week's newsletter.
Later, after another reference to "baton-charges", we hear about the young Charles Haughey and his gun running.
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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