## ยง Example of lattice that is not distributive

- Take a 2D vector space, and take the lattice of subspaces of the vector space.
- Take three subspaces;
`a = x`

, `b = y`

, `c = x + y`

. - Then see that
`c /\ (a \/ b) = c`

, while `c /\ a = c /\ b = 0`

, so `(c /\ a) \/ (c /\ b) = 0`

.