cardinality proof: prove that for any set $A, \ 2^{|A|} \neq |\mathbb{N}|$
42095
Existence in ZF of a set with countable power set
66948
Proving question on sets
114262
Find the cardinality of the following set $S_n=\{(x,y)|x^2+y^2=n, \text{where }x,y,n \in \mathbb Z\text{ and }n\geq0 \}$
23764
Proving that $A+A \not\subset 2A $ using a particular definition for sum of sets
127123
Cardinality of power set and binary sequence
20085
What's the cardinality of all sequences with coefficients in an infinite set?
100726
Prove that the set of powers of a set, $\{ A^n : n \in \mathbb{N} \}$ exists by using ZFC axioms (without replacement).
142631
Show that A has the same cardinality as $A\setminus\{x,y,z\}$
37951
proof detail concerning bijection between a set and its power set
35043
Cardinality of a set A is strictly less than the cardinality of the power set of A
70164
Proof exercise that the cardinal number of a set in $\mathbb R^2$ is $\frak c$
111954
Computing the cardinality of a combinatorial set
117658
A set with n elements has 2^n subsets
146436
Cardinality of the set of bijective functions on $\mathbb{N}$?
144787
Show that the set of all infinite subsets of $\mathbb{N}$ has cardinality greater than $\mathbb{N}$
85099
How many subsets of $\mathbb{N}$ have the same cardinality as $\mathbb{N}$?
101669
Cardinality of the Set of all finite subset of $\mathbb{R}$