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"on the foregoing" is correct and can be used in written English.
This phrase is usually used when referring to something that came before it, usually in the same document. For example, "The court of appeal found that the lower court's decision was incorrect. On the foregoing, the court of appeal reversed the decision."
Exact(49)
Clearly, proceeding on the foregoing lines, one can obtain the same conclusion in case (instead of S ( X ) ) one of A ( X ), B X and T X T ( X ) is a complete subset of X, and in case (instead of ( B, T ) ) ( A, S ) satisfies the property E.A. □.
Note that the type of the product, RNA or DNA, is assumed to depend on the foregoing substrate – if a foregoing substrate on a template is one type, the subsequent substrates to be incorporated cannot be the other type (thus, no DNA/RNA chimeric product, or say "copolymer", would form; see discussion for an explanation on this assumption) (Fig. 5).
Another direction in optoelectronics builds in part on the foregoing developments but to a quite different end.
"Based on the foregoing, we'll not say with 100 percent certainty that Pinatubo would not erupt in the next few years.
Based on the foregoing, we conclude that the authority of the Florida Secretary of State to ignore amended returns submitted by a County Canvassing Board may be lawfully exercised only under limited circumstances as we set forth in this opinion.
Based on the foregoing analysis, uncertainty in both CIT and material parameter will be considered to deal with shock degradation.
Similar(11)
Climates change and periodically impose one of the foregoing geomorphic systems on the relicts left by one of the others.
"… If you are considering contributing, you should be aware that our confidence that we can get a deal done has, on account of the foregoing, diminished since we came up with this idea".
cAMP did not alter modifications on any of the foregoing H3 sites in the absence or presence of T3.
On the basis of the foregoing discussion of emergence, it is possible to put the role of chaos in complex systems into its proper perspective.
Israel's mysterious air raid in Syria last September may have been designed to show that it is not afraid of taking the Syrians on.Will any of the foregoing really happen?
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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