We need no evidence to prove there is no afterlife. Affirming that an afterlife exists holds the burden of proof, so all that is needed is to debunk any evidence put forth. Considering the only evidence is personal testimony of experiences while the brain is deprived of oxygen, there's not even that much to debunk.
Even if the open windows of science at first make us shiver after the cozy indoor warmth of traditional humanizing myths, in the end the fresh air brings vigor, and the great spaces have a splendor of their own - Bertrand Russell