Proving that sets aren't equal
134120
Prove statement with a counter-example: For all sets S, T and V, V ∪ (S ∩ T) = (V ∪ S) ∩ T is false
111032
Proof of Sets involving the Cartesian Product
7607
How to prove that $\mathbb{Q}$ is not the intersection of a countable collection of open sets.
25834
Proof a set cannot contain its own powerset - Russell's Paradox
62208
If $A$ is a non-empty set, then $A \notin A$
49147
Showing that the class of all sets of a particular cardinality is not a set.
116527
Validating a proof for necessary and sufficient conditions on sets A & B such that $P(A) \cup P(B) = P(A\cup B)$
127362
How do I prove that there doesn't exist a set whose power set is countable?
38807
Does set difference distribute over set intersection?
86263
How do we show there are the same number of elements in each of the sets?
48797
Proving Two Sets are Equal - Infinite Sets - Example
17510
Proving a set is an abelian group.
1821
Proving $f(C) \setminus f(D) \subseteq f(C \setminus D)$ and disproving equality
148399
Two sets which contain each other as elements
59813
Prove that for all sets A and B, A ∩ B = ∅ implies ( A ∪ B ) - B = A
33117
Cyclic containment of sets
57250
Proving that the sum and difference of two squares (not equal to zero) can't both be squares.