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

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

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)
12. a = f(f{

n2-n1-1}(a))

x:A. f(x) = a

By:	Witness: f{n2-n1-1}(a)

Generated subgoals:

None

About:

IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html