Think ahead

For instance, if one is trying to prove a lemma for one reason or another, take a few moments to ask yourself questions such as

  • If the lemma were proven, how would it be used?
  • What features of the lemma are most important for you?
  • Would a weaker lemma suffice?
  • Is there a simpler formulation of the lemma?
  • Is it worth trying to omit a hypothesis of the lemma, if that hypothesis seems hard to obtain in practice?
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