Prove that $ \mathbb{R}$ and the interval [0,1 ] have the same cardinality.
22232
Proving that cardinality of the reals = cardinality of $[0,1]$
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 $\mathbb{N}$?
104527
Prove that there are two subsets of any cardinality-10 subsets of $\{1,2\dots,106\}$ that sum to the same number
45216
Cardinality of $[0,1]$
31710
Show that $\mathcal{J}=\{[a, a+1) \mid a \in \mathbb{R}\}$ generates the Borel set of $\mathbb{R}$
48523
Let $A$ be any uncountable set, and let $B$ be a countable subset of $A$. Prove that the cardinality of $A = A - B $
144266
set theory proof of $A\cap B = A \setminus(A\setminus B)$
140300
Does the interval $[0,1]$ contains more real numbers than $(0,2)$?
23125
Prove that there is a bijection between the set of all subsets of $X$, $P(X)$, and the set of functions from $X$ to $\{0,1\}$.
149907
$T\circ T=0:V\rightarrow V \implies R(T) \subset N(T)$
90540
What is wrong in this proof: That $\mathbb{R}$ has measure zero
102972
Cardinality of $\mathbb{R}^\mathbb{R}$ by diagonal argument
61375
Meaning of $\mathbb{R}[x]$
153934
How to prove that a set R\Z is open
59459
Binary sequences and ${2}^{\mathbb{N}}$ have the same cardinality
10909
$|A \cup B| = \mathfrak{c}$, then $A$ or $B$ has cardinality $\mathfrak{c}$.