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Proposition: Intersection of a Set With Another Set is Subset of This Set

Let $A$ and $B$ be two sets. Then the intersection $A\cap B$ is a subset of both, $A$ and $B$, formally $A\cap B\subseteq A$ and $A\cap B\subseteq B$.

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Proofs: 1

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Proofs: 1

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References

Bibliography

  1. Kane, Jonathan: "Writing Proofs in Analysis", Springer, 2016