Prove that cardinality of $\lvert D \rvert=2^b$ when $D=\{f \mid f:B \to A\} $
98163
Question regarding exponentiation of cardinal numbers
120292
How to formally prove: if $d\mid da+b$, then $d\mid b$?
22232
Proving that cardinality of the reals = cardinality of $[0,1]$
6098
Let $f:A\rightarrow B$ and $C\subset B,D\subset B$. Prove that $f^{-1}(C\backslash D)=f^{-1}(C)\backslash f^{-1}(D)$
73850
Cardinality of set of functions
104549
When $d \mid n$, the number of elements of order $d$ in a cyclic subgroup of order $n$ is $\phi (d)$
19202
$\mathbb{F}_{p^d}\subseteq\mathbb{F}_{p^n}$ if and only if $d$ divides $n$
12825
Bijection between $2^{\mathbb R}$ and $\mathbb{ R ^ R}$
10236
Show that $a^n \mid b^n$ implies $a \mid b$
63124
Show that $ \lVert A \rVert_2^2 \leq \lVert A \rVert _1 \lVert A \rVert _ \infty $
15733
Show that the cardinality of $\mathbb N$ is the same as the cardinality of $\mathbb N \times \mathbb N$
71133
prove inequlity about cardinality power sets
96845
Question: Compare the cardinality between the sets $\Bbb R$ and $\Bbb N^{\Bbb N}$
83518
Proving Two sets have same cardinality
138894
Prove that if $3\mid(a^2+b^2)$,then $3\mid a$ and $ 3\mid b$
101993
The cardinality of a language over a set of variables $V$ with $\#V= κ$
75199
$a \equiv b \pmod n$ and $c\equiv d \pmod n$ implies $ac \equiv bd \pmod n$