Nuprl - Proof: inv image ind a 1 1 1 1 1

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At: inv image ind a 1 1 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. j : T
10.

k:T. r(k,j)

(

y:S. f(y) = k

P(y))
11. y : S
12. f(y) = j
13. y' : S
14. r(f(y'),f(y))

P(y')

By:	(HypSubst 12 14) THEN (InstHyp [f(y');y'] 10)

Generated subgoals:

None

About:

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