Nuprl - Proof: prime among factors 1 1 1 1

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At: prime among factors 1 1 1 1

1. a :

2. b :

3. prime(a

b)
4. 2

b
5.

b = a
6.

b = b

i:{2..(a

}. i | a

By:	Guarding (<prop> & <prop>) FwdThru: Thm* a,b:. 0<ab 0<a & 0<b on [ 0<ab ] ... THEN Inst: Thm* i,j:. iij & jij Using:[a \| b] ...

Generated subgoal:

1 7. 0<a
8. 0<b
9. aab
10. bab
i:{2..(ab)}. i | ab
4 steps

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