Derive the set identity $A \cap (A \cup B) = A$
74077
A intersection (A union B)
47434
Proof that $A \subseteq B \Leftrightarrow A \cup B = B$
76610
Show that $f^{-1}(A \cup B) = f^{-1}(A) \cup f^{-1}(B)$
36789
The power set of the intersection of two sets equals the intersection of the power sets of each set
60707
Show that if $ \ A \cup B = A$ and $ \ A\cap B = A$ then $ \ A = B$
26302
Prove that $(X \cap Y) \cup Z = (X \cup Z) \cap (Y \cup Z)$
112084
Proof of a formula for the power set of a union of two sets
26570
Prove $\operatorname{rank}(AB) = \operatorname{rank}(B)$
68258
Let $A,B,C$ be sets, and $B \cap C=\emptyset$. Show $|A^{B \cup C}|=|A^B \times A^C|$
130156
Image of the union and intersection of sets.
145058
Prove $ (A \cup B) \cap C$ = $(A \cap C) \cup (B \cap C) $
13136
Element chasing proof that $(A\setminus C)\setminus(B\setminus C) = (A\setminus B)\setminus C$
107383
Derived sets - prove $(A \cup B)' = A' \cup B'$
73174
Prove $KN\cong K\times N$ if $K\cap N=\{e\}$
149553
Is it always true that $(A_1 \cup A_2) \times (B_1 \cup B_2)=(A_1\times B_1) \cup (A_2 \times B_2)$
106756
Union and Intersection of Sets $A_{i}$ and $B_{j}$
75604
Proof that $\partial(A\times B) = ((\partial A)\times B)\cup (A\times(\partial B))$