If the set A is smaller than the set B, then is the powerset of A smaller than the powerset of B?
9082
Do sets, whose power sets have the same cardinality, have the same cardinality?
27889
If the set of odd numbers is a subset of $\mathbb N$ then surely it is smaller than $\mathbb N$
144735
Possible cardinality of power sets
13415
How to show if $A \subseteq B$, then $A \cap B = A$?
83714
$A \in B$ vs. $A \subset B$ for proofs
148399
Two sets which contain each other as elements
63267
Under what conditions on the sets $A$ and $B$ will it be true that $A\times B= B\times A$
107215
Is $\emptyset \in \emptyset$ or $\emptyset \subseteq \emptyset$?
21229
If an element is not in the set difference $A\setminus B \: \:?$
66563
Is $ (A∪B)×(C∩D)=(A∪C)×(B∪D)$ true for all sets A,B,C and D?
147484
For a set with N members, what is the number of set partitions in which each subset is either of size 1 or 2?
41408
Which of the following sets are compact:
43024
Well-ordered sets, properties of an element that is not largest in the set
70307
$(A\cap B)\cup C = A \cap (B\cup C)$ if and only if $C \subset A$
136835
ZF Set Theory - If $|A|^{|B|} = |B|$, then $|A| = 1 = |B|.$
1409
Proving that the given set has at most $2^{n-1}$ elements
132025
Is there an alternative to Cantor's cardinalities that makes proper subsets smaller than their sets?