How to prove $a^x\times a^y=a^{x+y}$ for cardinals?
68258
Let $A,B,C$ be sets, and $B \cap C=\emptyset$. Show $|A^{B \cup C}|=|A^B \times A^C|$
130137
How to define a Bijection between $(A^B)^C$ and $A^{B \times C}$
13167
Prove $A = (A \setminus B) \cup (A \cap B)$
5595
$x^y = y^x$ for integers $x$ and $y$
28003
How to prove $A+ A^T$ symmetric, $A-A^T$ skew-symmetric.
117047
exponentiation of cardinal number
84198
Step in Proof of Cardinality of Product of two Groups
80759
Proving $A\times (B\cap C)=(A \times B)\cap (A\times C)$.
55018
Prove that $A^*A + I$ is invertible
45218
Comparing the two cardinals $\aleph_0^{\aleph_0}$ and $2^{\aleph_0}$
130281
Proving $a^ab^b + a^bb^a \le 1$, given $a + b = 1$
155757
Number theory: $x^y + 1 = y^x$
142631
Show that A has the same cardinality as $A\setminus\{x,y,z\}$
123195
Prove by induction that a^n+a^-n is an integer.
79778
$\kappa\cdot\kappa= \kappa,$ for infinite cardinals
64656
how do you prove that $A\times (B\setminus C) = (A\times B) \setminus (A\times C)$?
48278
Inequality about infinite cardinals