let l be a set with a relation r which is transitive, antisymmetric and reflex

Question

let l be a set with a relation r which is transitive, antisymmetric and reflexive and for any two elements a, b ∈ l. let least upper bound lub (a, b) and the greatest lower bound glb (a, b) exist.

Options:

A . L is a Poset

B . L is a lattice

C . L is a boolean algebra

D . none of these

Answer: Option B
Explanation :

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