IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html
At:
finite-partition1 k:, c:(0k).
p:(k( List)).
sum(||p(j)|| | j < k) = 0
& (j:k, x,y:||p(j)||. x<y (p(j))[x]>(p(j))[y])
& (j:k, x:||p(j)||. (p(j))[x]<0 & c((p(j))[x]) = j)
By:
Auto THEN InstConcl [j.nil] THEN Reduce 0
THEN
Try (RWO Thm*n:, a:. sum(a | x < n) = an 0)