 ##  [Distributive Lattice](/distributive-lattice) 

  ##  [Distributive Lattice](https://puremath.quantumdictionary.io/distributive-lattice-0) 

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

A distributive lattice is a lattice in which meet and join distribute over each other: for all x, y, z, x ∧ (y ∨ z) = (x ∧ y) ∨ (x ∧ z) (equivalently dual law with ∨ distributing over ∧). Both forms are equivalent in the presence of lattice axioms.