List questions from equivalence-relations

Published on 28 Mar 2026 - 20:06

804

Views

Let $R$ be an equivalence relation on a set $A$. Prove that if $y\in [x]$ then $[x] = [y]$ for any $x\in A$.

Published on 09 Oct 2020 - 15:04

102

Views

symmetric,transitive but not equivalence relation.

Published on 09 Oct 2020 - 17:00

2.8k

Views

Let $R$ be an equivalence relation on set $A$. Prove that for any $x,y \in A$ either $[x] = [y]$ or $[x] \cap [y] = \varnothing$.

Published on 09 Oct 2020 - 19:43

54

Views

Proof that a quocient set is homeomorphic to \mathbb{R}

Published on 10 Oct 2020 - 13:40

110

Views

Any online step by step toolcalculator for verifing logical equivalence without truth table?

Published on 11 Oct 2020 - 13:51

54

Views

Transitivity on a set

Published on 11 Oct 2020 - 19:02

33

Views

Confusion regarding symmetric and anti-symmetric relation

Published on 31 Mar 2026 - 16:55

28

Views

finding the elements of equivalence class that contains $(-5,8)$ on the relation $\sim$ in $D\times S$ as follows

Published on 28 Mar 2026 - 23:59

223

Views

Similarity relations on sets

Published on 29 Mar 2026 - 4:11

63

Views

Is $|x-y| \le 7$ symetric relation?

Published on 16 Oct 2020 - 5:22

74

Views

Equivalence relations and State transitions

Published on 04 Apr 2026 - 9:19

33

Views

If $\{a_n\} \sim \{u_n\}$ and $\{b_n\} \sim \{v_n\}$, then $\{a_nb_n\} \sim \{u_nv_n\}$.

Published on 06 Apr 2026 - 3:13

147

Views

Proving equivalence relation

Published on 18 Oct 2020 - 1:48

472

Views

Transversal of an equivalence relation

Published on 18 Oct 2020 - 16:37

List Question

Showing an equivalence relation on a monoid

Let $R$ be an equivalence relation on a set $A$. Prove that if $y\in [x]$ then $[x] = [y]$ for any $x\in A$.

symmetric,transitive but not equivalence relation.

Let $R$ be an equivalence relation on set $A$. Prove that for any $x,y \in A$ either $[x] = [y]$ or $[x] \cap [y] = \varnothing$.

Proof that a quocient set is homeomorphic to \mathbb{R}

Any online step by step toolcalculator for verifing logical equivalence without truth table?

Transitivity on a set

Confusion regarding symmetric and anti-symmetric relation

finding the elements of equivalence class that contains $(-5,8)$ on the relation $\sim$ in $D\times S$ as follows

Similarity relations on sets

Is $|x-y| \le 7$ symetric relation?

Equivalence relations and State transitions

If $\{a_n\} \sim \{u_n\}$ and $\{b_n\} \sim \{v_n\}$, then $\{a_nb_n\} \sim \{u_nv_n\}$.

Proving equivalence relation

Transversal of an equivalence relation

Trending Questions

Popular # Hahtags

Popular Questions