I want to write a sentence like "Assume Conjecture A holds true then Conjecture B holds true". But I do not know if it is correct to write "Assume Conjecture A holds then Conjecture B holds".

I saw the first expression several times in papers, but the second expression seems more concise.

  • They mean quite different things. Get a clarity. Do a bit of research. Good Luck. – Kris Dec 14 '19 at 6:59
  • Then could you let me know what is the difference? I think this is the site I could find the answer. – Li Yutong Dec 14 '19 at 14:41

I think the second would be understood to the reader as the "true" is implied but I think that the first is more correct. Given the level of paper you'd likely be writing this phrase in I would use the first, longer version. If you really want a concise version, "Conjecture A ⇒ Conjecture B" is another way of writing the same thing if you are specifically writing logic statements rather than an essay/paper.

  • Wait till you get the privilege to post comments. – Kris Dec 14 '19 at 7:00
  • @Kris I'm not sure what exactly you mean. First, this is an answer to the question not an ask for clarification or response to someone else's answer/comment, so posting it as an answer is valid. Second, getting enough rep to post comments won't happen if I don't answer questions. – Jonathan Dec 16 '19 at 20:11
  • With all due respect to help you, words like "I think...likely...I would" imply opinion. Answers usually call for a more authoritative quality, with citations to back up the standard. Don't worry that authority makes you authoritarian. I can remove this when you ask. – Yosef Baskin Dec 16 '19 at 21:52
  • @YosefBaskin I see your point and certainly citations are helpful for most answers. This question struck me as going beyond just "rules of grammar" into what language is most widely accepted by a particular group of people, hence why I was phrasing it as an opinion. While language is composed of rules, it is also about effectively conveying meaning and there are many things that rules don't cover. I simply didn't want to come off as an authority given the perceived subjectivity of the question and of my answer. – Jonathan Dec 16 '19 at 23:22

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