User:Leigh.Samphier/Matroids/Subset Intersection Set DIfference is Empty Iff Subset of Second Set

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Theorem

Let $S$ and $T$ be sets.

Let $A \subseteq S$.

Then:

$A \cap S \setminus T = \O$ if and only if $A \subseteq T$

Proof

$\blacksquare$