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At:
kleene minimize is fp111 1. n :
2. n1:. n1<n (f:{f:()| x:. f(x) }. mu(f) = n1f(mu(f)))
3. f : {f:()| x:. f(x) }
4. mu(f) = n 5. f(0)
f(1+mu(x.f(1+x)))
By:
FwdThru:
Thm*f:{f:()| x:. f(x) }. f(0) (x.f(1+x)) {f:()| x:. f(x) }
on [ f(0) ]
THEN
(Inst: Hyp:2 Using:[mu(x.f(1+x)) | x.f(1+x)] THEN (Reduce Hyp:-1))