Inclusion and Element of in Set theory
44160
Set theory: difference between belong/contained and includes/subset?
141299
Alternative set theories
158498
$A\subset \mathbb{R}$ with more than one element and $A/ \{a\}$ is compact for a fixed $a\in A$
12436
The cardinality of the set of all finite subsets of an infinite set
13661
Axiom of Regularity allows for this set be an element of itself
134588
Seeking a direct proof about nested inclusions
5313
Existence of how many sets is asserted by the axiom of choice in this case?
66301
The cardinality of the set of countably infinite subsets of an infinite set
13132
If the union of two sets is contained in the intersection, then one is contained in the other ($[A\cup B\subseteq A\cap B]\implies A \subseteq B$)
45792
Rigorous proof that surjectivity implies injectivity for finite sets
32441
How to prove or disprove statements about sets
23442
Cardinality of the union of infinite and countable sets
101741
Selection of logical connectives {¬,∨,∧,⇒,⇔} in set theory?
43024
Well-ordered sets, properties of an element that is not largest in the set
7112
Product of sets and supremum
118239
If $A, B, C$ are sets prove that $(A\setminus B)\setminus C\subseteq A\setminus(B\setminus C)$
5215
Can the principle of inclusion/exclusion be used to count elements in the intersection of a sequence of sets?