Skip to main content
2 of 2
added 1 character in body
Francesco Polizzi
  • 66.3k
  • 5
  • 180
  • 283

In my opinion, the best thing to do is to be honest and to explain that $A$ is the statement of main interest and that one is forced to prove the stronger statement $B$ just for technical reasons.

So I would call the statements Theorem $B$ and Corollary $A$ (since $A$ descends from $B$, after all), or maybe Theorem $B$ and Theorem $A$ if I intend to further emphasize the importance of $A$.

I think it is also convenient to write a remark explaining why the proof argument does not work for $A$; in this way, the reader will be motivated not to skip the proof of $B$.

Francesco Polizzi
  • 66.3k
  • 5
  • 180
  • 283