Need help with Boolean alg

Question

There's a Boolean algebra which happens:

For any $y\in B$, if $y+y'=0$ then $y=0$

We need to Refute or prove

Have you tried trivial Boolean algebras, such as $1$-element or $2$-element Boolean algebras? — , Oct 22 '20 at 12:31

score 1 · Answer 1 · answered Oct 22 '20 at 15:27

1

Since $y+y'=1$, the statement is either vacuously true or $B$ is the trivial one-element Boolean algebra.

answered Oct 22 '20 at 15:27

Berci

1 Answers1