Nuprl - Proof: dedekind inf imp inf 1 1 1 1 1 1 2

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At: dedekind inf imp inf 1 1 1 1 1 1 2

1. A : Type
2. a : A
3. f : A

A
4. Inj(A; A; f)
5.

(

x:A. f(x) = a)
6. n1 :

7. n2 :

8. f{

n1}(a) = f{

n2}(a)
9. n1<n2
10. f{

n1}(a) = f{

n1}(f{

n2-n1}(a))
11. a = f{

n2-n1}(a)

x:A. f(x) = a

By:	Rewrite-1 by Thm* f:(AA), i:, x:A. f{i}(x) = f(f{i-1}(x))

Generated subgoal:

1 12. a = f(f{n2-n1-1}(a))
x:A. f(x) = a
1 step

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