---
tag: 3DC0HJE5TA
kind: statement
role: theorem
name: Erdős-Rado Delta System Theorem (corollary of the sunflower lemma)
sources:
  - wikipedia: en:8208248@r1372848827
    locator: Sunflower (mathematics), section Sunflower lemma and conjecture
    note: adopted
    mention: wikipedia://en/8208248#G7WO
    sections: [Statement]
inventory: [TKPAHSEN4C]
---

## Statement

For each $k>0$, $r>0$, there is an integer $f(k,r)$ such that if a set system $F$ of $k$-sets is of cardinality greater than $f(k,r)$, then $F$ contains a sunflower of size $r$.