Equivalence relations->Showing that a set is reflexive, symmetric and transitive
70193
Show that the relation defined on an integral domain by "$x\sim y$" ("$x$ is associated with $y$") is a relation of equivalence.
17363
Prove that the intersection of two equivalence relations is an equivalence relation.
35577
relations - examples and counterexamples
96025
Showing there is only one isomorphism between well ordered sets using transfinite induction
20736
Prove the relation $R$ in $N \times N$ defined by $(a,b) \simeq (c,d)$ iff $ad=bc$ is an equivalence relation.
93952
Show that $X$ can be represented as a union of disjoint equivalence classes
31392
Examples and Counterexamples of Relations which Satisfy Certain Properties
112231
Showing that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set
104977
How to calculate equivalence relations
57954
How many transitive relations on a set of $n$ elements?
140335
Prove that the empty relation is Transitive, Symmetric but not Reflexive
62687
Proving Cardinality of Cosets in Abstract Algebra
21820
How to prove that a set is invariant?
48797
Proving Two Sets are Equal - Infinite Sets - Example
40937
Is the set of partial order relations over $ \mathbb{N}$ countable?
107383
Derived sets - prove $(A \cup B)' = A' \cup B'$
128060
Proof that the relation $5 \mid (a + 4b)$ is symmetric and transitive