Question

Set theory: Prove if $A \cup B = A \cap B$ then $A = B$

score 883 · Answer 1 · 2026-04-15 23:00:03

883

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Set theory: Prove if $A \cup B = A \cap B$ then $A = B$

Published on 15 Apr 2026 - 23:00

score 131 · Answer 2 · 2026-04-10 07:28:40

131

Views

How can I deduce the existence of $2^X$ from the powerset axiom

Published on 10 Apr 2026 - 7:28

score 94 · Answer 3 · 2026-03-25 19:03:45

94

Views

Does $m*n \iff (m, n)=n$ define a partial order / an equivalence relation on $\{1,\ldots, 9\}$?

Published on 25 Mar 2026 - 19:03

score 128 · Answer 4 · 2026-04-11 17:46:11

128

Views

Bijective function from $\Bbb R$ to $\Bbb R^2$

Published on 11 Apr 2026 - 17:46

score 37 · Answer 5 · 2026-04-12 02:59:10

37

Views

Regarding whether one has a circular definition in the following case

Published on 12 Apr 2026 - 2:59

score 856 · Answer 6 · 2026-04-11 17:28:30

856

Views

Does every function have a graph?

Published on 11 Apr 2026 - 17:28

score 102 · Answer 7 · 2026-04-15 08:27:29

102

Views

Injectivity and surjectivity of $f\colon P(X) \times P(Y) \to P(X \times Y)$

Published on 15 Apr 2026 - 8:27

score 56 · Answer 8 · 2026-04-13 23:31:04

56

Views

What is the cardinality of the set of all subsets of $P(\mathbb N)$?

Published on 13 Apr 2026 - 23:31

score 483 · Answer 9 · 2026-04-14 04:14:41

483

Views

How to find the greatest and minimal element in the set of all transitive relations over $\{1,2,3,4\}$?

Published on 14 Apr 2026 - 4:14

score 120 · Answer 10 · 2026-04-08 19:52:31

120

Views

How to correctly represent a collection with different kinds of objects?

Published on 08 Apr 2026 - 19:52

score 53 · Answer 11 · 2026-04-12 23:43:20

53

Views

Use a boolean property to show that the following statements about sets X and Y are logically equivalent

Published on 12 Apr 2026 - 23:43

score 140 · Answer 12 · 2026-04-13 11:06:15

140

Views

When does X \ A = $\emptyset$?

Published on 13 Apr 2026 - 11:06

score 264 · Answer 13 · 2026-04-21 20:52:34

264

Views

Number of permutations of unspecified length

Published on 21 Apr 2026 - 20:52

score 35 · Answer 14 · 2026-04-12 08:32:38

35

Views

A question about the countable union of a set.

Published on 12 Apr 2026 - 8:32

score 29 · Answer 15 · 2026-04-16 17:00:27

29

Views

$\lim\limits_{n\rightarrow\infty} B_R\backslash B_{1/n}$ versus $\lim\limits_{n\rightarrow\infty} B_R\backslash \bar B_{1/n}$

Published on 16 Apr 2026 - 17:00

List Question

Set theory: Prove if $A \cup B = A \cap B$ then $A = B$

How can I deduce the existence of $2^X$ from the powerset axiom

Does $m*n \iff (m, n)=n$ define a partial order / an equivalence relation on $\{1,\ldots, 9\}$?

Bijective function from $\Bbb R$ to $\Bbb R^2$

Regarding whether one has a circular definition in the following case

Does every function have a graph?

Injectivity and surjectivity of $f\colon P(X) \times P(Y) \to P(X \times Y)$

What is the cardinality of the set of all subsets of $P(\mathbb N)$?

How to find the greatest and minimal element in the set of all transitive relations over $\{1,2,3,4\}$?

How to correctly represent a collection with different kinds of objects?

Use a boolean property to show that the following statements about sets X and Y are logically equivalent

When does X \ A = $\emptyset$?

Number of permutations of unspecified length

A question about the countable union of a set.

$\lim\limits_{n\rightarrow\infty} B_R\backslash B_{1/n}$ versus $\lim\limits_{n\rightarrow\infty} B_R\backslash \bar B_{1/n}$

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