I am writing a technical paper where I have described an experiment resulting in "x". Then I go on to describe the result of a second experiment whose result was expected since the reason was deduced in the previous experiment (x). I'm looking for a phrase to tie the two sentences together but I did not want to use "as expected" or "it would follow".
I know there is another phrase out there that suits better but I can't seem to come up with it right now so I need your help. Thanks.