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<math display="block">\langle \sigma_A \sigma_B \rangle \geq \langle \sigma_A \rangle \langle \sigma_B \rangle,</math>
where <math> \langle \sigma_A \rangle = \langle \prod_{j \in A} \sigma_j \rangle </math>.
which means that spins are positively correlated on the Ising ferromagnet. An immediate application of this is that the magnetization of any set of spins <math>\langle \sigma_A \rangle</math> is increasing with respect to any set of coupling constants <math>J_B</math>.▼
With <math> B = \empty </math>, the special case <math> \langle \sigma_A \rangle \ge 0 </math> results.
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==== Simon-Lieb inequality ====
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