Show that for any elements a,b,c in a modular lattice $(a \vee b)\wedge c=b\wedge c$ implies $(c\wedge b)\wedge a= b \vee c$ ? $\wedge$ is meet and $\vee$ is join operations respectively .
2026-03-26 04:31:02.1774499462
$(a \vee b)\wedge c=b\wedge c$ implies $(c\wedge b)\wedge a= b \vee c$
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The announced result is wrong. Consider the modular lattice $(\mathbb{R}, \max, \min)$ and $b = 1$, $a = c = 0$. Isn't there a typo?