(I don't believe this is a duplicate to Can I publish a paper with new proof but the same result?, because not only am I using a different proof, but also an axiomatisation that could perhaps be seen as controversial)
I am a post graduate student of pure mathematics that hasn't published anything yet.
Hypothetically, let's say that there's an established result in mathematics that was stated and proven using a popular axiomatisation.
Let's say that if you state and prove the same result using a different (non-standard) axiomatisation, then the result becomes (perhaps debatably) more elegant.
Is it possible for paper like this to be worthy of publication?
If so, are there any specific journals that you think might be more likely to accept such a paper?
Slightly more detail:
The established result uses ZFC as axiomatisation, my approach uses ZFC + Atoms as axiomatisation. The result that I'm restating and reproving concerns general mathematical structures.