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A Good Lemma Is Worth a Thousand Theorems

2 days ago
  • #Szemeredi's Regularity Lemma
  • #Mathematical Lemmas
  • #Fields Medals
  • Lemmas are foundational in mathematics and often surpass deep theorems in value.
  • Szemeredi's Regularity Lemma is particularly significant, contributing to at least two Fields medals, such as in the Green-Tao breakthrough on primes.
  • A good lemma is widely applicable, obvious once seen, and aesthetically beautiful in its proof, as noted in mathematical literature.