Question

Prove that {$ A \bigcap x : x\in B $} is a set

score 59 · Answer 1 · 2022-10-21 16:28:29

59

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Prove that {$ A \bigcap x : x\in B $} is a set

Published on 21 Oct 2022 - 16:28

score 19 · Answer 2 · 2026-03-23 18:33:32

19

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How do I proof that for any set A there exists a set B whose elements are the power sets of the elements of A?

Published on 23 Mar 2026 - 18:33

score 192 · Answer 3 · 2022-10-22 22:07:04

192

Views

Proving that if $a^3=b^3\rightarrow a=b$ using only field axioms.

Published on 22 Oct 2022 - 22:07

score 80 · Answer 4 · 2022-10-25 20:49:41

80

Views

Can we always have an infinite alternative axiomatization of a finitely axiomatized theory?

Published on 25 Oct 2022 - 20:49

score 68 · Answer 5 · 2022-10-26 10:13:03

68

Views

How to prove the axioms of equivalence relation without using example but theoretically or using logic?

Published on 26 Oct 2022 - 10:13

score 47 · Answer 6 · 2022-10-28 10:36:58

47

Views

Mathematical Axioms on Integers - Double Brackets

Published on 28 Oct 2022 - 10:36

score 189 · Answer 7 · 2022-10-31 06:09:00

189

Views

List all inner product axioms that fail to hold

Published on 31 Oct 2022 - 6:09

score 71 · Answer 8 · 2022-11-01 13:00:49

71

Views

Determine wether it is a vector space

Published on 01 Nov 2022 - 13:00

score 82 · Answer 9 · 2026-04-01 11:19:39

82

Views

How to prove (∀a, b, c ∈ N) a < b ⇒ a < bc. using only the basic axioms of natural numbers

Published on 01 Apr 2026 - 11:19

score 66 · Answer 10 · 2022-11-07 01:31:11

66

Views

Prove the following statement : $a * 0 = 0$. In the proof below, I do not understand the step where they used the replacement property.

Published on 07 Nov 2022 - 1:31

score 45 · Answer 11 · 2022-11-08 19:11:25

45

Views

Uniformly choosing from an infinite set

Published on 08 Nov 2022 - 19:11

score 159 · Answer 12 · 2022-11-09 23:14:55

159

Views

Is the theory for $\mathbb{R}$ categorical or not?

Published on 09 Nov 2022 - 23:14

score 70 · Answer 13 · 2022-11-10 09:11:27

70

Views

Axiom of union - singleton case

Published on 10 Nov 2022 - 9:11

score 65 · Answer 14 · 2022-11-10 14:52:48

65

Views

Cardinality statements involving the power set of an infinite set.

Published on 10 Nov 2022 - 14:52

score 52 · Answer 15 · 2022-11-14 20:58:58

52

Views

Determine which of the axioms holds for $\lambda v$ = $-v$

Published on 14 Nov 2022 - 20:58

List Question

Prove that {$ A \bigcap x : x\in B $} is a set

How do I proof that for any set A there exists a set B whose elements are the power sets of the elements of A?

Proving that if $a^3=b^3\rightarrow a=b$ using only field axioms.

Can we always have an infinite alternative axiomatization of a finitely axiomatized theory?

How to prove the axioms of equivalence relation without using example but theoretically or using logic?

Mathematical Axioms on Integers - Double Brackets

List all inner product axioms that fail to hold

Determine wether it is a vector space

How to prove (∀a, b, c ∈ N) a < b ⇒ a < bc. using only the basic axioms of natural numbers

Prove the following statement : $a * 0 = 0$. In the proof below, I do not understand the step where they used the replacement property.

Uniformly choosing from an infinite set

Is the theory for $\mathbb{R}$ categorical or not?

Axiom of union - singleton case

Cardinality statements involving the power set of an infinite set.

Determine which of the axioms holds for $\lambda v$ = $-v$

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