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

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

Result R3958 on D70: Set difference

Intersecting subtrahend with minuend preserves set difference

Formulation 0

Let

$X$ and

$Y$ each be a D11: Set.

Then

$\begin{equation} X \setminus Y = X \setminus (X \cap Y) \end{equation}$