What is the pumping lemma for regular languages?

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What is the pumping lemma for regular languages?

The pumping lemma for regular languages is a theorem that states that for any regular language L, there exists a pumping length p such that any string s in L with length greater than or equal to p can be divided into five parts, s = xyzuv, satisfying the following conditions:
1. For any non-negative integer i, the string xy^iz is also in L.
2. The length of y and u combined is greater than 0, and the length of xy and uv combined is less than or equal to p.
3. The string xy^izuv is also in L for any non-negative integer i.