Suppose A, B and C are sets such that #A=#B. Is it true that #(A x C) =#(B x C)? If it is, prove that.
113211
Arithmetics of cardinalities: if $|A|=|C|$ and $|B|=|D|$ then $|A\times B|=|D\times C|$
28223
Prove/Disprove that if two sets have the same power set then they are the same set
39226
What's the meaning of a set to the power of another set?
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 $a=b$?
82097
If $A \succeq B$, is it true that $B^{-1} \succeq A^{-1}$?
83996
For any two sets $A,B$ , $|A|\leq|B|$ or $|B|\leq|A|$
92376
Let $f:A \rightarrow B$ and C ⊂A. Define f[C]={b∈B: b=f(a) for some a∈C}. Prove or disprove each of the statement
64656
how do you prove that $A\times (B\setminus C) = (A\times B) \setminus (A\times C)$?
2935
Completness and Set of Result of One Set ?!?
27728
Question on a homomorphism of a set G.
151038
How to prove (A v B), (A → C), (B → D) therefore (C v D)
144360
For any sets $A$ and $B$, show that $(B\smallsetminus A)\cup A=B \iff A\subseteq B$.
9082
Do sets, whose power sets have the same cardinality, have the same cardinality?
63267
Under what conditions on the sets $A$ and $B$ will it be true that $A\times B= B\times A$
113083
How to prove a set equality?
146231
Let X be a set with an associative binary operation ◦ with identity e. Suppose every element of X satisﬁes x ◦ x = e. Prove that ◦ is commutative.
66948
Proving question on sets