Distributive law for lattices
= Distributive law for lattices
In a <distributive lattice>,
$$
a\wedge(b\vee c)=(a\wedge b)\vee(a\wedge c),
\qquad
a\vee(b\wedge c)=(a\vee b)\wedge(a\vee c).
$$
= Distributive law for lattices
In a <distributive lattice>,
$$
a\wedge(b\vee c)=(a\wedge b)\vee(a\wedge c),
\qquad
a\vee(b\wedge c)=(a\vee b)\wedge(a\vee c).
$$