Nuprl - Proof: iteration terminates 1 2

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At: iteration terminates 1 2

1. T : Type
2. f : T

T
3. m : T

4.

x:T. m(f(x))

m(x) & (m(f(x)) = m(x)

f(x) = x)
5. x : T
6.

n:

. m(f^n(x))

m(x)-n

f(f^n(x)) = f^n(x)

n:

. f(f^n(x)) = f^n(x)

By:	InstConcl [m(x)+1]

Generated subgoal:

1 f(f^m(x)+1(x)) = f^m(x)+1(x)
11 steps

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