Prove that in $S_7$ if $(a, b)$ is modular pair then $(b, a)$ is modular pair.

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According to the definition we saw in theory, in any lattice, a modular pair is a pair $(a, b)$ of elements such that for all $x$ satisfying $$ a \land b \leq x \leq b, $$ we have $$ (x \lor a) \land b = x $$

Can you help me prove that in $S_7$, if $(a, b)$ is modular pair, then $(b, a)$ is modular pair?

Thanks

S7 lattice