Nuprl - Proof: fun exp compose 2 1 1 1

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At: fun exp compose 2 1 1 1

1. T : Type
2. n :

3. 0<n
4.

h,f:(T

T). f^n-1 o h = primrec(n-1;h;

i,g. f o g)
5. T

T
6. f : T

primrec(1+n-1;

x.x;

i,g. f o g) = f o primrec(n-1;

x.x;

i,g. f o g)

By:	GenConcl ((x.x) = id)

Generated subgoal:

1 7. id : TT
8. (x.x) = id
primrec(1+n-1;id;i,g. f o g) = f o primrec(n-1;id;i,g. f o g)
1 step

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