Prove that $A - (B \cap C) = (A - B) \cup (A - C)$
45666
de morgan law $A\setminus (B \cap C) = (A\setminus B) \cup (A\setminus C) $
33524
Prove the following $A \setminus (B\setminus C) = (A\setminus B)\cap (A \cup C)$
75966
Prove that if $A$ is a set with $m$ elements, $B$ is a set with $n$ elements, and $A \cap B = \emptyset$, then $A \cup B$ has $m+n$ elements.
144502
Showing that $A\cap B = A\setminus (A\setminus B)$
86977
If $\cup \mathcal{F}=A$ then $A \in \mathcal{F}$. Prove that $A$ has exactly one element.
47434
Proof that $A \subseteq B \Leftrightarrow A \cup B = B$
13421
Let $X,Y,Z$ be subspaces of $V$ so that $X$ is a subspace of $Y$. Prove that $Y\cap (X+Z)=X+(Y\cap Z)$
138069
Proof that $\bigcap_{a\in A} \bigg(\, \bigcup_{b\in B} F_{a,b} \, \bigg) = \bigcup_{f\in ^AB} \bigg(\, \bigcap_{a \in A} F_{a,f(a)}\,\bigg) $
70307
$(A\cap B)\cup C = A \cap (B\cup C)$ if and only if $C \subset A$
10477
Finding the closure of A=$\mathbb Q \cap [0,1]$.
143979
How can I prove that $|A| + |B| = |A\cup B| + |A\cap B|$?
57979
If $P(A \cup B \cup C) = 1$, $P(B) = 2P(A) $, $P(C) = 3P(A) $, $P(A \cap B) = P(A \cap C) = P(B \cap C) $, then $P(A) \le \frac14$
7416
Let $ A $, $ B $ and $ C $ be sets. If $ A \cup B = A \cup C $ and $ A \cap B = A \cap C $, then show that $ B = C $.
77361
How to prove $|H|[K:K \cap (g^{-1}Hg)]=|K|[H:H \cap (gKg^{-1})]$?
79165
How to show that $P(A\cup B) = P(A) + P(B) - P(A\cap B)$
10107
Prove $A\cup (A\cap B) = A$
33542
When is $A- B = B- A$?