Test series Testbook

Question

Is this a distributive lattice????
 

Answer 1

Since necessary condition for distributive lattice is every element having atmost one complement but here d having two complement as c & f hence it is not distributive lattice

Comments

Yup I also think the same way  but Testbook test series say its a distributive lattice

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@bad_engineer yes not distributive

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I understood the complement part, but how to find triples of elements which violates distributive law?If I take suppose b,f and e. b ^ (f v e) should be (b ^ f) v (b ^ e) . b ^ (f v e) = b ^ f = e that is same as (b ^ f) v (b ^ e) = e ^ e = e. Am I doing something wrong here?