Proving $A^{B\cup C} \sim A^B\times A^C$
68258
Let $A,B,C$ be sets, and $B \cap C=\emptyset$. Show $|A^{B \cup C}|=|A^B \times A^C|$
52135
Show that $A \setminus ( B \setminus C ) \equiv ( A \setminus B) \cup ( A \cap C )$
27281
How to prove $\,x^a-1 \mid x^b-1 \iff a\mid b$
75604
Proof that $\partial(A\times B) = ((\partial A)\times B)\cup (A\times(\partial B))$
143979
How can I prove that $|A| + |B| = |A\cup B| + |A\cap B|$?
115606
Proofs involving $ (A\setminus B) \cup (A \cap B)$
149553
Is it always true that $(A_1 \cup A_2) \times (B_1 \cup B_2)=(A_1\times B_1) \cup (A_2 \times B_2)$
61066
Prove: $(A\rightarrow B),(A\rightarrow C)\rightarrow B, \mapsto_{HPC} B $
5694
How to prove $a^2 + b^2 + c^2 \ge ab + bc + ca$?
124827
Show that $Y\sim N(a+A\mu,AVA^T)$
56399
Proof for $A \cup B = B$ if and only if $A \subset B$
17032
If $ab=ba$, Prove $a^2$ commutes with $b^2$
26741
How to prove for $s<1,|a+b|^s\le|a|^s+|b|^s$
47434
Proof that $A \subseteq B \Leftrightarrow A \cup B = B$
31173
How to show $(a^b)^c=a^{bc}$ for arbitrary cardinal numbers?
78736
Check my proof that $(ab)^{-1} = b^{-1} a^{-1}$
101803
A\(B∩C) = (A\B) ∪ (A\C) how to prove?