IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html
At:
double sum difference111 1. n : 2. m : 3. f : nm 4. g : nm 5. d : 6. sum(sum(f(x,y)-g(x,y) | y < m) | x < n) = d sum(sum(f(x,y) | y < m)-sum(g(x,y) | y < m) | x < n) = d
By:
RevHypSubstSq -1 0
THEN
BackThru
Thm*n:, f,g:(n).
Thm* (i:n. f(i) = g(i)) sum(f(x) | x < n) = sum(g(x) | x < n)