[ilmath]A-(A-B)\eq A\cap B[/ilmath]

Statement

Let [ilmath]A[/ilmath] and [ilmath]B[/ilmath] be sets, we claim that then [ilmath]A-(A-B)\eq A\cap B[/ilmath]

Proof

Grade: D

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Draw a Venn diagram, easy enough, but also the proof is easy enough too!

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See also

• Index of elementary set theory equalities