Prove Cardinality of Sets Exponentiation
31173
How to show $(a^b)^c=a^{bc}$ for arbitrary cardinal numbers?
99464
Proof Concerning Indexed family of Sets and Intervals
31318
Cardinality of cartesian square
101993
The cardinality of a language over a set of variables $V$ with $\#V= κ$
3101
Meaning of a set in the exponent
66948
Proving question on sets
92639
Prove that the family of open sets in $\mathbb{R}$ has cardinality equal to $2^{\aleph_0}$
121366
Intervals and cardinality
150790
Prove two sets have same Cardinality by writing down bijection
83518
Proving Two sets have same cardinality
114262
Find the cardinality of the following set $S_n=\{(x,y)|x^2+y^2=n, \text{where }x,y,n \in \mathbb Z\text{ and }n\geq0 \}$
111032
Proof of Sets involving the Cartesian Product
135180
How to Understand the Definition of Cardinal Exponentiation
145214
Showing the power set is equinumerous to ${}^X2$
118595
Proving that a set is countable by finding a bijection
100726
Prove that the set of powers of a set, $\{ A^n : n \in \mathbb{N} \}$ exists by using ZFC axioms (without replacement).
156006
Cardinality of set containing all infinite subsets of $\mathbb{Q}$