Show that it is impossible for there to be a set $X$ such that it is a subset of the set $X\times X$
108807
Subset of a cartesian product
126633
Is a contradiction enough to prove a set equality to $\varnothing$?
77286
Proving set theory question
59275
If $X$ is an infinite set, then $X$ with the discrete topology is not compact
146098
Number of nonempty subsets of a set with $n$ elements
46698
Showing a set is closed under inverses
131983
Prove that $A \subset B$ if and only if $A \setminus B = \emptyset$
22154
Show that given a set of positive n integers, there exists a non-empty subset whose sum is divisible by n
111723
Can it be proven in $\sf ZF^{\neg\infty}$ that the sets $x_n=\{x_{n+1}\}$ do not exist?
7112
Product of sets and supremum
69499
Let $A\subset\mathbb{R}$ a measurable and bounded set. Show that exists for each $0\alpha$.
117561
A set is infinite iff there is a one-to-one correspondent with one of its proper subsets?
118239
If $A, B, C$ are sets prove that $(A\setminus B)\setminus C\subseteq A\setminus(B\setminus C)$
3072
If the empty set is a subset of every set, why isn't $\{\emptyset,\{a\}\}=\{\{a\}\}$?
50939
If $A$ and $B$ are nonempty sets, prove that $A \times B = B \times A$ if and only if $A = B$
134120
Prove statement with a counter-example: For all sets S, T and V, V ∪ (S ∩ T) = (V ∪ S) ∩ T is false
66948
Proving question on sets