IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html
At:
kleene minimize is lb1111 1. n : 2. n1:.
2. n1<n (f:{f:()| x:. f(x) }. mu(f) = n1 (i:. i<mu(f) f(i)))
3. f : {f:()| x:. f(x) }
if f(0) 0 else 1+mu(x.f(1+x)) fi = n (i:. i<if f(0) 0 else 1+mu(x.f(1+x)) fi f(i))
By:
SplitOnConclITE
THEN
Try
FwdThru:
Thm*f:{f:()| x:. f(x) }. f(0) (x.f(1+x)) {f:()| x:. f(x) }
on [ f(0) ]