What transition would you most likely use when supporting a claim with evidence? for instance however this means in other words

The transition would be "For instance". This will serve just like an exemplification. Examples can support to your claim because of the facts that it can give. The other words do not fit to giving an evidence to your claim because it will only contradict such as "however". "In other words" and "This means" will just describe your claim but will not support it.