Question

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

score 241 · Answer 1 · 2018-03-28 19:40:11

241

Views

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

Published on 28 Mar 2018 - 19:40

score 146 · Answer 2 · 2018-03-29 04:07:15

146

Views

Does a symmetric closure preserve transitivity?

Published on 29 Mar 2018 - 4:07

score 389 · Answer 3 · 2026-03-16 19:14:51

389

Views

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

Published on 16 Mar 2026 - 19:14

score 174 · Answer 4 · 2018-03-30 09:25:52

174

Views

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

Published on 30 Mar 2018 - 9:25

score 117 · Answer 5 · 2018-03-30 21:12:22

117

Views

How many functions are possible to create in this example?

Published on 30 Mar 2018 - 21:12

score 58 · Answer 6 · 2018-03-30 21:56:45

58

Views

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

Published on 30 Mar 2018 - 21:56

score 2.2k · Answer 7 · 2018-03-31 01:05:38

2.2k

Views

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

Published on 31 Mar 2018 - 1:05

score 136 · Answer 8 · 2018-03-31 13:34:17

136

Views

Reflexive and transitive relations

Published on 31 Mar 2018 - 13:34

score 473 · Answer 9 · 2018-03-31 20:28:59

473

Views

Prove the relation is an equivalence relation.

Published on 31 Mar 2018 - 20:28

score 42 · Answer 10 · 2018-04-02 21:40:21

42

Views

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

Published on 02 Apr 2018 - 21:40

score 30 · Answer 11 · 2018-04-03 23:42:03

30

Views

Counting how many functions exist given a relation

Published on 03 Apr 2018 - 23:42

score 204 · Answer 12 · 2026-03-25 01:29:08

204

Views

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

Published on 25 Mar 2026 - 1:29

score 52 · Answer 13 · 2026-03-22 11:42:43

52

Views

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

Published on 22 Mar 2026 - 11:42

score 349 · Answer 14 · 2018-04-04 06:30:54

349

Views

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

Published on 04 Apr 2018 - 6:30

score 137 · Answer 15 · 2026-03-23 18:37:44

137

Views

Well-founded part of integer numbers

Published on 23 Mar 2026 - 18:37

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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