ThmDex – An index of mathematical definitions, results, and conjectures.

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Result R4170 on D70: Set difference
Subresult of R4169: Difference of set and finite intersection equals union of differences

Difference of set and binary intersection equals union of differences

Formulation 0

Let

$X, A, B$ each be a D11: Set.

Then

$\begin{equation} X \setminus (A \cap B) = (X \setminus A) \cup (X \setminus B) \end{equation}$