Question

What does it mean when I say that addition/multiplication for an equivalence relation is well defined?

score 5.1k · Answer 1 · 2026-03-25 14:23:58

5.1k

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What does it mean when I say that addition/multiplication for an equivalence relation is well defined?

Published on 25 Mar 2026 - 14:23

score 60 · Answer 2 · 2026-03-25 22:11:05

60

Views

Given a set and an equivalence relation find the equivalence classes and the quotient set

Published on 25 Mar 2026 - 22:11

score 71 · Answer 3 · 2026-03-21 19:58:21

71

Views

Determining the equivalence classes of a given relation

Published on 21 Mar 2026 - 19:58

score 25 · Answer 4 · 2026-03-21 23:49:39

25

Views

Equivalence relation - help needed with proving

Published on 21 Mar 2026 - 23:49

score 30 · Answer 5 · 2026-03-25 16:03:01

30

Views

Why if $R_M \subseteq R_L $ then $Index(R_L) \leq Index(R_M)$

Published on 25 Mar 2026 - 16:03

score 2.1k · Answer 6 · 2026-03-25 12:49:58

2.1k

Views

Prove that union of two equivalences relations is also equivalence relation if and only if that union equals to thier compositions

Published on 25 Mar 2026 - 12:49

score 60 · Answer 7 · 2026-03-25 12:23:58

60

Views

pairing partial orderings with strict partial orderings

Published on 25 Mar 2026 - 12:23

score 10k · Answer 8 · 2026-03-22 09:09:24

Prove that $\neg p \to (q \to r)$ and $q \to (p \vee r)$ are logically equivalent using the laws of logical equivalences

score 87 · Answer 9 · 2026-03-25 14:21:21

87

Views

Prove that ¬ is an equivalence relation

Published on 25 Mar 2026 - 14:21

score 656 · Answer 10 · 2026-03-25 14:22:43

656

Views

Number of classes an equivalence relation partitions a set X

Published on 25 Mar 2026 - 14:22

score 64 · Answer 11 · 2026-03-25 16:01:18

64

Views

Show this relation on $\mathbb{R}^2\setminus \left \{ (0,0) \right \}$ is an equivalence relation.

Published on 25 Mar 2026 - 16:01

score 712 · Answer 12 · 2026-03-22 14:28:37

712

Views

Proving that a relation R is an equivalence relation

Published on 22 Mar 2026 - 14:28

score 256 · Answer 13 · 2026-03-21 23:41:03

256

Views

Breaking an equivalence relation into equivalence classes

Published on 21 Mar 2026 - 23:41

score 122 · Answer 14 · 2026-03-21 22:04:46

122

Views

Equivalence classes of function f: A -> B

Published on 21 Mar 2026 - 22:04

score 8.9k · Answer 15 · 2026-03-22 14:47:25

8.9k

Views

$Ax=0$ has trivial solution $\implies$ $Ax=b$ has a unique solution.

Published on 22 Mar 2026 - 14:47

List Question

What does it mean when I say that addition/multiplication for an equivalence relation is well defined?

Given a set and an equivalence relation find the equivalence classes and the quotient set

Determining the equivalence classes of a given relation

Equivalence relation - help needed with proving

Why if $R_M \subseteq R_L $ then $Index(R_L) \leq Index(R_M)$

Prove that union of two equivalences relations is also equivalence relation if and only if that union equals to thier compositions

pairing partial orderings with strict partial orderings

Prove that $\neg p \to (q \to r)$ and $q \to (p \vee r)$ are logically equivalent using the laws of logical equivalences

Prove that ¬ is an equivalence relation

Number of classes an equivalence relation partitions a set X

Show this relation on $\mathbb{R}^2\setminus \left \{ (0,0) \right \}$ is an equivalence relation.

Proving that a relation R is an equivalence relation

Breaking an equivalence relation into equivalence classes

Equivalence classes of function f: A -> B

$Ax=0$ has trivial solution $\implies$ $Ax=b$ has a unique solution.

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