Question

How can I prove reflexive closure preserves symmetry, anti-symmetry, and transitivity?

score 244 · Answer 1 · 2026-04-11 05:45:06

244

Views

How can I prove reflexive closure preserves symmetry, anti-symmetry, and transitivity?

Published on 11 Apr 2026 - 5:45

score 149 · Answer 2 · 2026-04-09 04:36:34

149

Views

Does a symmetric closure preserve transitivity?

Published on 09 Apr 2026 - 4:36

score 390 · Answer 3 · 2026-03-25 06:04:05

390

Views

If $R$ is a transitive relation, then $R^\circ$ is also a transitive relation: Proof Review

Published on 25 Mar 2026 - 6:04

score 177 · Answer 4 · 2026-04-14 10:52:46

177

Views

Transitive closure is transitive, and $tr(R)\subseteq R'$

Published on 14 Apr 2026 - 10:52

score 121 · Answer 5 · 2026-04-13 09:14:32

121

Views

How many functions are possible to create in this example?

Published on 13 Apr 2026 - 9:14

score 61 · Answer 6 · 2026-04-15 05:47:06

61

Views

How many possible $1:1$ functions are here that satisfy the given condition?

Published on 15 Apr 2026 - 5:47

score 2.2k · Answer 7 · 2026-04-11 19:53:47

2.2k

Views

The Relation "Is Less Than" ($<$ ) Is Anti-Symmetric on $\mathbb{Z}$?

Published on 11 Apr 2026 - 19:53

score 140 · Answer 8 · 2026-04-10 05:35:15

140

Views

Reflexive and transitive relations

Published on 10 Apr 2026 - 5:35

score 476 · Answer 9 · 2026-04-15 15:16:28

476

Views

Prove the relation is an equivalence relation.

Published on 15 Apr 2026 - 15:16

score 45 · Answer 10 · 2026-04-15 18:28:54

45

Views

Show if a and b are congruent to x mod 4 and y mod 4...

Published on 15 Apr 2026 - 18:28

score 33 · Answer 11 · 2026-04-16 06:28:03

33

Views

Counting how many functions exist given a relation

Published on 16 Apr 2026 - 6:28

score 205 · Answer 12 · 2026-05-10 17:02:46

205

Views

Given an equivalence relation ${\sim} \in \Pi(U(X))$, is the meet of all the congruences $R \geq {\sim}$ a congruence?

Published on 10 May 2026 - 17:02

score 53 · Answer 13 · 2026-03-25 07:49:06

53

Views

Proving That $R$ is an Equivalence Relation: Is This Solution Proof for Transitivity Incorrect?

Published on 25 Mar 2026 - 7:49

score 352 · Answer 14 · 2026-04-10 15:21:58

352

Views

How to describe the given relation on A using set builder notation?

Published on 10 Apr 2026 - 15:21

score 143 · Answer 15 · 2026-05-10 11:19:27

143

Views

Well-founded part of integer numbers

Published on 10 May 2026 - 11:19

List Question

How can I prove reflexive closure preserves symmetry, anti-symmetry, and transitivity?

Does a symmetric closure preserve transitivity?

If $R$ is a transitive relation, then $R^\circ$ is also a transitive relation: Proof Review

Transitive closure is transitive, and $tr(R)\subseteq R'$

How many functions are possible to create in this example?

How many possible $1:1$ functions are here that satisfy the given condition?

The Relation "Is Less Than" ($<$ ) Is Anti-Symmetric on $\mathbb{Z}$?

Reflexive and transitive relations

Prove the relation is an equivalence relation.

Show if a and b are congruent to x mod 4 and y mod 4...

Counting how many functions exist given a relation

Given an equivalence relation ${\sim} \in \Pi(U(X))$, is the meet of all the congruences $R \geq {\sim}$ a congruence?

Proving That $R$ is an Equivalence Relation: Is This Solution Proof for Transitivity Incorrect?

How to describe the given relation on A using set builder notation?

Well-founded part of integer numbers

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