The conclusions of Sublemma 5.2 hold even if and intersect in more than a point.
This follows form Sublemma 5.2 since can be expressed as the union of with at most two closed subintervals of each meeting in a point.
and 
intersect in more than a
point.
can
be expressed as the union of 
with at most two closed
subintervals of 
each meeting 
in a point.