Nuprl - Proof: inv image ind a 1 1 1

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At: inv image ind a 1 1 1

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. S
9. x : T

y:S. f(y) = x

P(y)

By:	(WFndHypInd 5 -1) THEN RepD

Generated subgoal:

1 9. j : T
10. k:T. r(k,j) (y:S. f(y) = k P(y))
11. y : S
12. f(y) = j
P(y)
3 steps

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