There is no "no" in this context. Theism is the operative subject; a-theism is the response. There is no -ism to atheism. It lies wholly within theism. Eliminate theism, atheism ceases to exist.
At the age of five, Skagra decided emphatically that God did not exist. This revelation tends to make most people in the universe who have it react in one of two ways - with relief or with despair. Only Skagra responded to it by thinking, 'Wait a second. That means there's a situation vacant.'