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Discover LudwigThe phrase "to proceed upon" is correct and can be used in written English.
It is most often used to refer to doing something in accordance with something else, such as an opinion or agreement. Example sentence: He agreed to proceed upon the recommendation of the committee.
Exact(4)
The district attorney, under order of the court, elected to proceed upon the first, sixth, twelfth, sixteenth, twenty-sixth, and thirty-second counts.
Cleomenes therefore was no sooner returned from Egina than he considered with himself how he might deprive Demaratus of his kingly office; and here the following circumstance furnished a ground for him to proceed upon.
It results from what has been said that it was competent for the circuit court, immediately upon the commission, in its presence, of the contempt recited in the order of September 3d, to proceed upon its own knowledge of the facts, and punish the offender, without further proof, and without issue or trial in any form.
ii) Articles 4 and 6 of the Acts of Union "did not proceed, and have never been considered to proceed, upon the footing that the law must be identical in Scotland and in England and Wales on matters affecting trade" and the minimum pricing legislation does not modify the Acts.
Similar(56)
With maleimide/vinyl ether mixtures, the reaction was found to proceed rapidly upon u.v.
Second, she allowed the claim for specific performance to proceed premised upon the private equity firms' argument that Clear Channel is a unique asset.
Some authors provided insights of ways to proceed based upon new research and development (R&D), evaluations of specific low/no-fossil carbon technologies and lessons learned from policy simulations and analyses of potential post-fossil carbon societies.
Usually, if one discovers that one believes P, P→Q, but does not believe Q, the rational way to proceed depends upon one's assessment of the relevant reasons for belief (where these are evidential, not pragmatic, reasons).
As Duckworth would advise, it is time to proceed based upon "hunches" using the best research data that is available today rather than studying this problem for the next decade and doing nothing while trying to craft the perfect solution.
More likely, the mere threat to proceed based upon Republicans' reneging on their prior agreement that, among other things, installed the extreme Janice Rogers Brown on the D.C. Court of Appeals, will result in Senator McCain, again, crafting some compromise that de facto achieves the same result.
"G.M. and Fiat will conduct a preliminary due diligence," which is "expected to proceed rapidly and upon further agreement will be followed by formal negotiations," General Motors said in a statement.
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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