IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html
At:
sum split22 1. n : 2. 0<n 3. f:((n-1)), m:(n-1+1).
3. sum(f(x) | x < n-1) = sum(f(x) | x < m)+sum(f(x+m) | x < n-1-m)
4. f : n 5. m:(n-1+1). sum(f(x) | x < n-1) = sum(f(x) | x < m)+sum(f(x+m) | x < n-1-m)
6. m : (n+1)
7. m = n-1
sum(f(x) | x < n) = sum(f(x) | x < m)+sum(f(x+m) | x < n-m)