Complimented Distibutive lattice


#1


#2

Option(1) is definitely true as in every boolean algebra (Complimented distributive lattice) the complements are unique definitely.

The 2nd statement is important one.
According to prof R.P Dilworth “Every lattice is a sublattice of a lattice with unique compliment”

So whether the lattice is distributive or non-distributive, in both case it will be a sublattice of a lattice with unique compliment.

So option(2) is incorrect.

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