Let $A$ and $B$ be sets. If $|2^A| = |2^B|$, then must $|A| = |B|$?
127378
Is $2^\alpha=2^\beta\Rightarrow \alpha=\beta$ a $\sf ZFC$-independence result?
15191
If $a^2$ divides $b^2$, then $a$ divides $b$
155233
$A=\emptyset $ if and only if $B = A \bigtriangleup B$
3101
Meaning of a set in the exponent
48523
Let $A$ be any uncountable set, and let $B$ be a countable subset of $A$. Prove that the cardinality of $A = A - B $
113168
If $a > b$, is $a^2 > b^2$?
9082
Do sets, whose power sets have the same cardinality, have the same cardinality?
77286
Proving set theory question
125077
what is the absolute value of a set?
63267
Under what conditions on the sets $A$ and $B$ will it be true that $A\times B= B\times A$
81618
Prove $||a|-|b| | \leq |a-b|$
21006
Let $a,b$ be positive integers such that $a\mid b^2 , b^2\mid a^3 , a^3\mid b^4 \ldots$ so on , then $a=b$?
66948
Proving question on sets
31331
$|a|=m,\,\gcd(m,n)=1 \implies a$ is an $n$'th power
100844
How should I understand "$A$ unless $B$"?
43068
Let A and B be sets. Show that A is a subset of B if and only if for any set C, one has A union C is a subset of B union C.
113735
Do we need to prove that if x∉A in proposition "if A⊆B then A⋃B=B"?