As pointed out in the comments, this is common in number theory. Since the OP wants to write a paper, I give some concrete examples. If you google "Assume the Generalized Riemann Hypothesis" you get 4900 results, [including][1] theorems of Hecke (1918), Deuring (1933), Mordell (1934), and Heilbronn (1934) all assuming either the Riemann hypothesis or that it's false. [Here][2] is a more recent paper (published in *Number Theory*) that assumes the generalized RH. [Here][3] and [here][4] are two other examples, and many more on Google. Hopefully this will help the OP figure out how to write what they want to write.


  [1]: https://en.wikipedia.org/wiki/Riemann_hypothesis
  [2]: https://www.sciencedirect.com/science/article/pii/S0022314X06002769
  [3]: https://arxiv.org/pdf/1503.00955.pdf
  [4]: https://arxiv.org/abs/2102.00906