  Jaligot's Lemma states that the Fitting subgroups of distinct Borel subgroups
do not intersect in a tame minimal simple groups of finite Morley. Such a
strong result appears hopeless without tameness. Here we use the 0-unipotence
theory to build a toolkit for the analysis of nonabelian intersections of Borel
subgroups. As a demonstration, we show that any connected nilpotent subgroup of
an intersection of Borel subgroups, in a nontame minimal simple group, must
actually be abelian.
