User blog comment:B1mb0w/Strong D Function Calculations/@comment-5529393-20150805103642/@comment-10262436-20150805105422

I will have to tidy up the logic into one place. It is a little scattered. The rules L1,LG and LN are meant to form an induction proof. In other posts I have established that D(1,0,n) >> f_w^n-1(f_w+1(3)) and D(2,0,n) >> f_w+1^n-1(f_w+2(3)) and D(3,0,n) >> f_w+2^n-1(f_w.2(3)). From these initial conditions, rules L1, LG and LN are mean to proof that D(l,0,n) will have the same form but the f function ordinals will all increase by 1 compared to the D(l-1,0,n) function. With these initial conditions, the logic does flow correctly. Do you agree ?