Nuprl - Proof: composite with prime factor 1 1 1

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At: composite with prime factor 1 1 1

1. x :

x1:

. x1<x

prime(x1)

(

i,j:{2..x1

}. x1 = i

j & prime(i))
3. 2

x
4.

prime(x)
5.

i,j:{2..x

}. x = i

i,j:{2..x

}. x = i

j & prime(i)

By:	ExistHD Hyp:-1

Generated subgoal:

1 5. i : {2..x}
6. j : {2..x}
7. x = ij
i,j:{2..x}. x = ij & prime(i)
10 steps

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