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Discrete Mathematics: Properties of Relation
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00:00 Reflexive: (a, a) ∈ R
00:30 Irreflexive: (a, a) ∉ R
00:44 Symmetric: (a, b) ∈ R and (b, a) ∈ R
01:42 Antisymmetric: (a, b) ∈ R and (b, a) ∉ R
02:36 Asymmetric: Antisymmetric ˄ Irreflexive
03:07 Transitive: If (a, b) ∈ R and (b, c) ∈ R then (a, c) ∈ R.
04:40 Example
00:30 Irreflexive: (a, a) ∉ R
00:44 Symmetric: (a, b) ∈ R and (b, a) ∈ R
01:42 Antisymmetric: (a, b) ∈ R and (b, a) ∉ R
02:36 Asymmetric: Antisymmetric ˄ Irreflexive
03:07 Transitive: If (a, b) ∈ R and (b, c) ∈ R then (a, c) ∈ R.
04:40 Example
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