Is this a true statement:
Suppose such integer k exists. I have proved this. However, I am trying to state it in a "proof" style way.
The statement:
k is an element of real numbers and has a domain of (-inf, 0)U(0, inf).

Notice: I'm not asking you if k actually exists or for you to find it's domain. I'm asking if the statement I made is actually correct.

Question

Is this a true statement: 
Suppose such integer k exists. I have proved this. However, I am trying to state it in a "proof" style way. 
The statement:
k is an element of real numbers and has a domain of (-inf, 0)U(0, inf).

Notice: I'm not asking you if k actually exists or for you to find it's domain. I'm asking if the statement I made is actually correct.

anonymous · Answer

Sorry, delete that "is this a true statement" at the top. It doesn't make sense

anonymous · Answer

What do you mean by domain, it isn't a function...

anonymous · Answer

$$
k\in \mathbb{R}\wedge k\neq 0
$$

anonymous · Answer

ok I see what you are saying...

anonymous · Answer

See, good thing I asked this.

anonymous · Answer

that makes much more sense. k is an element of the real numbers and k cannot equal zero.
This is what you stated, correct?

anonymous · Answer

Yes.