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open water
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The background is mathematics.

There are a few results I think are highly likely to be true, but proving them would take up some length, and they are not central to the paper I am writing. They also are not important enough to become an independent paper, so it is unlikely someone will come and prove them later.

So what should I do? Is it appropriate to say "the result A should be true, and one can prove it using method B"?

Edit: those statements are generalizations to a proposition and are not needed for the proof of the main result.

The background is mathematics.

There are a few results I think are highly likely to be true, but proving them would take up some length, and they are not central to the paper I am writing. They also are not important enough to become an independent paper, so it is unlikely someone will come and prove them later.

So what should I do? Is it appropriate to say "the result A should be true, and one can prove it using method B"?

The background is mathematics.

There are a few results I think are highly likely to be true, but proving them would take up some length, and they are not central to the paper I am writing. They also are not important enough to become an independent paper, so it is unlikely someone will come and prove them later.

So what should I do? Is it appropriate to say "the result A should be true, and one can prove it using method B"?

Edit: those statements are generalizations to a proposition and are not needed for the proof of the main result.

Source Link
open water
  • 1.2k
  • 1
  • 10
  • 19

When writing a paper, what do you do with statements that you know are probably true, but you have not checked the details?

The background is mathematics.

There are a few results I think are highly likely to be true, but proving them would take up some length, and they are not central to the paper I am writing. They also are not important enough to become an independent paper, so it is unlikely someone will come and prove them later.

So what should I do? Is it appropriate to say "the result A should be true, and one can prove it using method B"?