Cartan formula
= Cartan formula
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The Cartan formula describes a Steenrod square of a cup product:
$$
\operatorname{Sq}^k(xy)=\sum_{i+j=k}\operatorname{Sq}^i(x)\operatorname{Sq}^j(y).
$$
Equivalently, the total Steenrod square is a ring homomorphism.