Nuprl - Proof: strongwf-implies 1 1

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At: strongwf-implies 1 1

1. T : Type
2. R : T

Type
3. f : T

x,y:T. R(x,y)

f(x)<f(y)
5. P : T

Prop
6.

j:T. (

k:T. R(k,j)

P(k))

P(j)

, x:T. f(x) = i

P(x)

By:	CompleteInductionOnNat THEN BackThru 6 THEN InstHyp [k;x] 4

Generated subgoal:

1 7. i :
8. i1:. i1<i (x:T. f(x) = i1 P(x))
9. x : T
10. f(x) = i
11. k : T
12. R(k,x)
13. f(k)<f(x)
P(k)
1 step

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