Nuprl - Proof: inv image ind tp 1 1 1 1 1 1 2 1 2

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At: inv image ind tp 1 1 1 1 1 1 2 1 2

1. T : Type
2. r : T

Prop
3. S : Type
4. f : S

T
5. WellFnd{i}(T;x,y.r(x,y))
6. P : S

Prop
7.

j:S. (

k:S. r(f(k),f(j))

P(k))

P(j)
8. j : T
9.

k:T. r(k,j)

(

n:S. f(n) = k

P(n))
10. n : S
11. f(n) = j
12.

nn:S. r(f(nn),f(n))

P(nn)

P(n)

By:	OnHyps [-2;-3;-3] Thin

Generated subgoal:

1 8. n : S
9. nn:S. r(f(nn),f(n)) P(nn)
P(n)
1 step

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