Kudo transgression theorem
= Kudo transgression theorem
{c}
Steenrod operations preserve transgressive pairs. With mod-two coefficients, if $(x,y)$ is transgressive, then so is $(\operatorname{Sq}^j x,\operatorname{Sq}^j y)$ whenever the square is defined by the instability range. The corresponding statement holds for odd-primary reduced powers and the Bockstein, with the appropriate page shift.