How to prove $A\setminus(B\setminus C) = (A \setminus B) \cup (A \cap C)$
101803
A\(B∩C) = (A\B) ∪ (A\C) how to prove?
116527
Validating a proof for necessary and sufficient conditions on sets A & B such that $P(A) \cup P(B) = P(A\cup B)$
30770
Prove that $C\left(\bigcup_{\alpha\in I} A_\alpha\right)=\bigcap_{\alpha\in I}C\left(A_\alpha\right)$
21097
If $A$ and $B$ are independent events, and $A$ and $C$ are independent events, how do I show that $A$ and $B\cup C$ are independent?
68918
Show that $A\cap B\subseteq A$ and $A\subseteq A\cup B$
60707
Show that if $ \ A \cup B = A$ and $ \ A\cap B = A$ then $ \ A = B$
143735
Prove/Disprove: For any sets $X$ and $Y$, $\overline{X\cap Y} = \bar{X}\cup\bar{Y}$
46240
Show that if $A$ and $B$ are sets, then $(A\cap B) \cup (A\cap \overline{B})=A$.
140440
Proving $(A\times C)\cup(B\times D)\subseteq(A\cup B)\times(C\cup D)$
16749
Let $A_i= \left \{...,-2,-1,0,1,...,i \right\}$. Find $\bigcup_{i=1}^{n} A_i$ and $\bigcap_{i=1}^{n} A_i$
134770
For sets $A,B$, $A \cap (B \setminus A) \subseteq \varnothing$
148234
Express set $[a,b] \cup [c,d]$ as the difference of two intervals
70307
$(A\cap B)\cup C = A \cap (B\cup C)$ if and only if $C \subset A$
43310
Proving $A\cap(B-C)$ is equal to $(A\cap B)-(A\cap C)$
112084
Proof of a formula for the power set of a union of two sets
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.
79165
How to show that $P(A\cup B) = P(A) + P(B) - P(A\cap B)$