Question: The operations and have the following consistency properties. For every x; y in a lattice (X; ), 1. x y x

The operations ∨ and ∧ have the following consistency properties. For every x; y in a lattice (X; ≿),
1. x ∨ y ≿ x ≿ x ∧ y
2. x ≿ y =⇒ x ∨ y = x and x ∧ y = y
3. x ∨ x ∧ y = x = x ∧(x ∨ y)

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