A previousness relation is a temporal relation in which the event or state of a latter-expressed proposition is communicated to have occurred before the event or state of a prior-expressed proposition.
(English)
The word previously indicates a previousness relation as in he weighed in at 163 pounds. Previously, he had only registered 159.
Halliday, M. A. K., and Ruqaiya Hasan. 1976.Cohesion in English. London: Longman.