Reflexive, symmetric, transitive checks (R reflexive/symmetric/transitive on A: standard ∀/⇒ definitions)

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R reflexive/symmetric/transitive on A — standard ∀/⇒ definitions

What each symbol means

SymbolWhat it stands for
ANon-empty set on which R is defined
RRelation ⊆ A×A

When to use this

R is a subset of A×A; properties quantified over all relevant a,b,c ∈ A.