Category:Examples of Use of Distributive Laws of Set Theory

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This category contains examples of use of Distributive Laws of Set Theory.

Intersection Distributes over Union

Set intersection is distributive over set union:

$R \cap \paren {S \cup T} = \paren {R \cap S} \cup \paren {R \cap T}$


Union Distributes over Intersection

Set union is distributive over set intersection:

$R \cup \paren {S \cap T} = \paren {R \cup S} \cap \paren {R \cup T}$