The Sunflower Lemma of Erdős and Rado

René Thiemann

25 February 2021

Abstract

We formally define sunflowers and provide a formalization of the sunflower lemma of Erdős and Rado: whenever a set of size-k-sets has a larger cardinality than (r - 1)k · k!, then it contains a sunflower of cardinality r.
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@article{Sunflowers-AFP,
  author  = {René Thiemann},
  title   = {The Sunflower Lemma of Erdős and Rado},
  journal = {Archive of Formal Proofs},
  month   = February,
  year    = 2021,
  note    = {\url{http://isa-afp.org/entries/Sunflowers.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
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