# Contents

## Definition

A distributive lattice is a lattice $(L, \leq, \bot, \vee, \top, \wedge)$ with

• a family of dependent terms
$a:L, b:L, c: L \vdash a \wedge (b \vee c) = (a \wedge b) \vee (a \wedge c)$

representing the distributive property for the lattice.