  In this paper, we explore an abstraction of uniform integrability in vector
lattices and demonstrate its application by providing a positive solution to an
open question posed by Kuo, Rodda, and Watson. Specifically, we show that for
finite p and with T as a conditionally expectation operator, spaces Lp are
sequentially complete. Furthermore, we demonstrate that a de La Vall\'e Poussin
Theorem does not hold in the general setting of vector lattices.
