Hey Anti-Theists! Prove Your Claim

[Dystopia]

That's not anti-theism... That's Gnostic/Strong atheism, the belief no gods exist. Anti-theism is the opposition to belief/god concept and not the assertion that god can't exist. I'm mostly an agnostic atheist and I'm an anti-theist.

You're focussing on only one definition of anti-theism here, the one which represents your position but there's another definition which is missing from your other 3 (earlier in the thread). Broadly and literally, the term represents any position which opposes a theistic proposition; either the religion/organisation and/or the deity. Stating 'there is no <insert deity>' is an anti-theistic position. The term 'gnostic atheist' is used to mean the same thing although it's a slight misuse: it literally means 'knowledge of an absence of theism' (i.e. having knowledge that one's an atheist). That's why I prefer the term 'anti-theist' when I state a claim in the non-existence of a deity. That's just my personal choice. As I said before, common use definitions of 'gnostic atheist' mean the same thing.

My point was to assert that believing no gods exist doesn't correlate with anti-theism, but with gnostic atheism

To keep being pedantic, it correlates more literally with anti-theism than with gnostic atheism

I disagree, anti-theism means being against theism, it doesn't mean theism is wrong, you could be a theist and an anti-theist. An anti-theist opposes god, the god idea or the belief in gods, the denial of the god proposition doesn't make you an anti-theist, or at least I don't consider the expression to be correctly used. If I simply denied the idea that god exists but didn't oppose it, then I would be just an atheist. Following your line of thought, we would have to assert theists who believe or claim a god exists are all anti-atheists, and we all know not all are.

If I claim a god doesn't exist, it means I possess knowledge to make the conclusion, it's a gnostic proposition. In my case, I'm a gnostic when it comes to some gods, agnostic when it comes to others harder to disprove (eg the deistic god)