Nuprl - Proof: nat prime div each factor 1 1 1 1 a 1 1

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At: nat prime div each factor 1 1 1 1 a 1 1

1. X :

2. prime(X)
3.

. 0<W

W<X

(

. X | t

X | t)
4. a :

5. b :

6. X | a

b
7. x :

8. r :

X
9. a = x

X+r
10. y :

11. s :

X
12. b = y

X+s
13.

r = 0
14. e :

15. a

b = X

e
16. (x

X+r)

X+s) = X

X | r

By:	Rewrite-1 by (xX+r)(yX+s) = X(Xxy+ry+sx)+rs ...

Generated subgoal:

1 17. X(Xxy+ry+sx)+rs = Xe
X | rs
2 steps

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