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At:
double sum difference11111 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 7. i : n sum(f(i,y) | y < m) = sum(g(i,y) | y < m)+sum(f(i,y)-g(i,y) | y < m)
By:
BackThru
Thm*n:, f,g:(n), d:.
Thm* sum(f(x)-g(x) | x < n) = d sum(f(x) | x < n) = sum(g(x) | x < n)+d
Generated subgoals:
None
About:
IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html