Question

Prove that every chain is a distributive lattice.

Answer 1

To prove that every chain is distributive, you should just consider all possible relations between three arbitrary elements a , b , c ∈ P and check thatdistributive identity holds

Answer 2

Answer:

consider a,b,c of L then 6 possible cases may arise

1) a<b<c

2)a<c<b

3)b<a<c

4)b<c<a

5)c<b<a

6)c<a<b

for all these case apply the distributive law

hence verify it hold strong in all cases

hopes this helped

Step-by-step explanation: