Question

If $\mathcal U\ast\mathcal V$ is transitive then are $\mathcal U$ and $\mathcal V$ always transitive?

score 42 · Answer 1 · 2023-10-19 16:41:17

42

Views

If $\mathcal U\ast\mathcal V$ is transitive then are $\mathcal U$ and $\mathcal V$ always transitive?

Published on 19 Oct 2023 - 16:41

score 118 · Answer 2 · 2023-10-20 18:43:49

118

Views

Is bijection a transitive relationship?

Published on 20 Oct 2023 - 18:43

score 25 · Answer 3 · 2023-10-23 12:29:03

25

Views

How to prove ($i_A \cap R = \emptyset \implies R \subseteq A \times A $ - irreflexive) by contrapositive

Published on 23 Oct 2023 - 12:29

score 33 · Answer 4 · 2023-10-23 19:59:29

33

Views

How to Prove Reflexivity, Antisymmetry, and Transitivity for $\mathcal{R}$ in a Partial Ordering?

Published on 23 Oct 2023 - 19:59

score 123 · Answer 5 · 2023-10-25 08:17:40

123

Views

How can I formally express that a relation is monotonic?

Published on 25 Oct 2023 - 8:17

score 52 · Answer 6 · 2026-04-03 00:25:32

52

Views

Relations on xRy

Published on 03 Apr 2026 - 0:25

score 54 · Answer 7 · 2026-04-03 00:25:32

54

Views

general notion for 'smallest' binary relation

Published on 03 Apr 2026 - 0:25

score 39 · Answer 8 · 2026-03-21 20:25:01

39

Views

Quotient set of an "equivalence relation" without reflexivity

Published on 21 Mar 2026 - 20:25

score 49 · Answer 9 · 2026-04-01 03:44:18

49

Views

How to motivate the teaching of relations?

Published on 01 Apr 2026 - 3:44

score 19 · Answer 10 · 2023-11-02 22:00:01

Prove that $R=\{(M_1,M_2)\in P(N)\times P(N)|M_1\cap M_2=S\}$, for a fixed $S\in P(N)$, with $S\neq N$, $S\neq\varnothing$ is transitive

score 63 · Answer 11 · 2026-04-03 00:30:28

63

Views

Finding equivalence classes of an equivalence relation on $\mathcal{P(\mathbb{Z})}$

Published on 03 Apr 2026 - 0:30

score 168 · Answer 12 · 2023-11-06 09:53:09

168

Views

What will be the domain and range of $f(x)=\sqrt{\sin^{-1}({\frac{1}{1+3x+2x^{2}}})}$?

Published on 06 Nov 2023 - 9:53

score 167 · Answer 13 · 2026-03-26 17:30:24

167

Views

Does the Mostowski Collapse Lemma hold in CZF?

Published on 26 Mar 2026 - 17:30

score 95 · Answer 14 · 2023-11-12 01:41:19

95

Views

Prove that if $x,y \in S$, then $x+y \in S$ using partial order relation properties

Published on 12 Nov 2023 - 1:41

score 21 · Answer 15 · 2023-11-13 09:15:17

21

Views

symmetric and anti-symmetric (but not necessarily reflexive and transitive)

Published on 13 Nov 2023 - 9:15

List Question

If $\mathcal U\ast\mathcal V$ is transitive then are $\mathcal U$ and $\mathcal V$ always transitive?

Is bijection a transitive relationship?

How to prove ($i_A \cap R = \emptyset \implies R \subseteq A \times A $ - irreflexive) by contrapositive

How to Prove Reflexivity, Antisymmetry, and Transitivity for $\mathcal{R}$ in a Partial Ordering?

How can I formally express that a relation is monotonic?

Relations on xRy

general notion for 'smallest' binary relation

Quotient set of an "equivalence relation" without reflexivity

How to motivate the teaching of relations?

Prove that $R=\{(M_1,M_2)\in P(N)\times P(N)|M_1\cap M_2=S\}$, for a fixed $S\in P(N)$, with $S\neq N$, $S\neq\varnothing$ is transitive

Finding equivalence classes of an equivalence relation on $\mathcal{P(\mathbb{Z})}$

What will be the domain and range of $f(x)=\sqrt{\sin^{-1}({\frac{1}{1+3x+2x^{2}}})}$?

Does the Mostowski Collapse Lemma hold in CZF?

Prove that if $x,y \in S$, then $x+y \in S$ using partial order relation properties

symmetric and anti-symmetric (but not necessarily reflexive and transitive)

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