- #1
Bashyboy
- 1,421
- 5
Homework Statement
Prove the complementation law in Table 1 by showing
that [itex]\stackrel{=}{A} = A[/itex]
Homework Equations
The Attempt at a Solution
Well, first I assumed that x is an element of A, so that [itex]A = (x | x\in A)[/itex]
by taking the complement, I got [itex](x | \neg(x\in A) \rightarrow (x | x\notin A)[/itex]
then, taking the complement of the complement is where I get stuck:
[itex](x | \neg(x \in \overline{A}) [/itex]