“…In such case, the thesis follows from the fact that δ∈TD(q,x) p(δ) = 1. For the inductive step, observe that by condition (10), each sequence α ∈ T(q,x) is of the form δ ·T(e 2 [δ],r δ (x)) for some δ ∈ TD(q,x). This means that sequences in T(q,x) are longer than those in T(e 2 [δ],r δ (x)), hence by induction p(T(e 2 [δ],r δ (x))) = 1.…”