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I would like to express "under all the assumptions, except a certain one (call this certain one A), of the theorem, we construct...". If it can be shortened, then the first thought that came to me was "under all but the A assumptions of the theorem, we construct...". However, this seems not grammatical and confusing.

Is my evaluation true? If not, what would be a better option out there? Thanks.

  • Try replacing but with except: The theorem is true under all of the assumptions except assumption A. – Michael Rybkin Jan 16 at 4:35
  • @MichaelRybkin, Hi. Thanks. The order of "under ..." would be important for my case. I updated my question by providing a more detailed picture. – Megadeth Jan 16 at 4:38
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One of the problems in your original sentence is that your use of commas creates parenthetical information. You don't want to do that because you've put except inside that parenthetical information. That makes it nonessential when it actually is essential to what you want to say.

Your revised sentence is talks about A assumptions (plural), yet you've previously indicated that there is only a single exception. (Perhaps the s is a typo.)

I suggest this:

Under all but one assumption of the theorem (call the exception A), we construct . . .

What's in parentheses can be removed without causing harm to the sentence. It's up to you if you want to mention that you're going to call the exception A or not.

  • Hi, Thanks. There are more than one assumptions out there; in this case, is it still okay to use the construction by dropping the redundant "s"? I used "s" because there are more than one assumptions. Please, thanks. – Megadeth Jan 16 at 5:24
  • @GaryMoore But there is only one assumption that will not be used, correct? If so, the singular is correct, syntactically. In all but one assumption, there can be any number of assumptions (plural) that are used—so long as there's a single one that is not. If there were two assumptions not used (among many more), then you would say under all but two assumptions. – Jason Bassford Jan 16 at 5:37
  • I see! Thanks. That answers my question completely. – Megadeth Jan 16 at 5:45

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