Is this argument valid a b b c b c a b Is this argument vali

Is this argument valid?

a b

b c

(b c) (a b)

Solution

This Arguement is not valid.

Let us take an example

c = (1,2,3)

Now since c is subset of b

let b=(1,2,3,4)

Now since b is subset of a

let a=(1,2,3,4,5)

For the dot product between the sets the set elements are different in all the sets and hence the dot product is not possible and hence the arguement

        (b.c) v (a.b) is not valid