Nuprl - Proof: compose iter inverses 1 1 2

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At: compose iter inverses 1 1 2

1. A : Type
2. f : A

A
3. g : A

A
4. InvFuns(A;A;f;g)
5. x : A
6. i :

7. 0<i
8. g{

i-1}(f{

i-1}(x)) = x

i}(f{

i}(x)) = x

By:	Rewrite by g{i}(f{i}(x)) = g{i-1}(g(f(f{i-1}(x)))) A

Generated subgoals:

1 g{i}(f{i}(x)) = g{i-1}(g(f(f{i-1}(x))))
2 steps

2 g{i-1}(g(f(f{i-1}(x)))) = x
1 step

About:

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1	g{i}(f{i}(x)) = g{i-1}(g(f(f{i-1}(x))))	2 steps
2	g{i-1}(g(f(f{i-1}(x)))) = x	1 step