Is an empty set reflexive? Symmetric? Transitive?
140335
Prove that the empty relation is Transitive, Symmetric but not Reflexive
71976
Is every element on a set also a set?
18462
Transitivity check vs. Transitive Closure
84609
Unary intersection of the empty set
42835
Example of a relation that is symmetric and transitive, but not reflexive
124325
Element of, subset of and empty sets
5022
Can a set containing $0$ be purely imaginary?
126633
Is a contradiction enough to prove a set equality to $\varnothing$?
62208
If $A$ is a non-empty set, then $A \notin A$
143060
If a relation is symmetric and transitive, will it be reflexive?
52949
If $aRb \land bRc$ never occurs, is a relation considered transitive?
143646
Is it possible to prove reflexive, symmetric and transitive properties of equality and the transitive property of inequality?
99480
Why is predicate "all" as in all(SET) true if the SET is empty?
134999
Writing empty set as union of basis elements for a topology.
33064
Powerset of set with empty sets
109173
Why the Sets defined in the Cumulative Hierarchy transitive?
88823
How can the empty set be open in the definition of the cofinite topology?