Transitive sets and power sets
113391
Prove that if $A$ is transitive, then $\mathcal{P}(A)$ is transitive too.
19924
Uncountable ordinals without power set axiom
25155
Suppose $R$ and $S$ are transitive relations on $A$. Prove that if $S \circ R \subseteq R \circ S$ then $R \circ S$ is transitive.
36789
The power set of the intersection of two sets equals the intersection of the power sets of each set
156335
Proving Power Set of $\mathbb N$ is Uncountable
117479
Mutual set of representatives for left and right cosets: what about infinite groups?
57954
How many transitive relations on a set of $n$ elements?
66948
Proving question on sets
71133
prove inequlity about cardinality power sets
70143
Mutually exclusive countable subsets of a countable set
52682
Is the power set of the natural numbers countable?
52614
(exercise from Tao's analysis book) Proof of a lemma relating to power set of X
25834
Proof a set cannot contain its own powerset - Russell's Paradox
146664
The union of two linearly independent subsets
42095
Existence in ZF of a set with countable power set
112084
Proof of a formula for the power set of a union of two sets
45878
Elementary Set Theory: Ordinals, Well Orderings and Isomorphisms