A question on the proof of 14 distinct sets can be formed by complementation and closure
88595
Prob. 21, Sec. 17 in Munkres' TOPOLOGY, 2nd ed: Closure and complementation can result in at most 14 different sets
142534
Proof of $k {n\choose k} = n {n-1 \choose k-1}$ using direct proof
144266
set theory proof of $A\cap B = A \setminus(A\setminus B)$
41726
Musical and combinatorial proof
70959
Prove that a set $E$ is closed iff it's complement $E^{c}$ is open
19414
Uncountable subset with uncountable complement, without the Axiom of Choice
92249
Every finite set contains its supremum: proof improvement.
10180
How to prove that this set is closed?
88904
Help with a proof. Countable sets.
99341
Basic question: closure of irreducible sets
46698
Showing a set is closed under inverses
62687
Proving Cardinality of Cosets in Abstract Algebra
68230
The cardinality of a countable union of sets with less than continuum cardinality
51617
What is the proof that the total number of subsets of a set is $2^n$?
73338
Prove that the closure of complement, is the complement of the interior
102113
Proof that the number of proofs is countably infinite
2056
A space is $T_{0}$ if and only if the closures of singletons are distinct