Literature on model theory of Henselian valued fields usually establishes, or relies on transfer principles between the theory of a valued field, and that of its value group Gamma and residue field k. Recent contributions often use an alternative approach, which is to study transfer principles with an intermediate reduct of the valued field: the *leading-term structure* RV, the expansion of the Abelian group sitting in the pure short exact sequence (PSES, for short): 1->k*->RV->Gamma->0 The cleanest, most natural and most general framework to study this structure is that developed in Section 4 of the very influential (and recent) article by Aschenbrenner-Chernikov-Gehret-Ziegler: the setting of PSES of *Abelian structures*, with an arbitrary expansion on their term on the left and the right (such as the order on Gamma and addition on k). The aforementioned article establishes transfer principles for *quantifier elimination* and *distality* between the middle term (RV), and the two other terms (Gamma, k). Thanks to this very general setting, those results carry over for free to natural expansions of valued field (by a derivation, an automorphism...). In this talk, we present our contribution to this work, where we establish similar transfer principles for *forking and dividing *in the same setting of expansions of PSES of Abelian structures.