Proposition: Sets are Subsets of Their Union

Let $A$ and $B$ be sets. Then both, $A$ and $B$, are the subsets of their union $A\cup B$, formally $A\subseteq A\cup B$ and $B\subseteq A\cup B$.

Proofs: 1


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References

Bibliography

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