Nuprl - Proof: prime or smaller prime factor2 1 2 1

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At: prime or smaller prime factor2 1 2 1

1. x : {2...}
2.

prime(x)
3.

i,j:{2..x

}. x = i

j & prime(i)

p:{2...}, c:{1...}. p

x & prime(p) & x = p

By:	ExistHD Hyp:-1

Generated subgoal:

1 3. i : {2..x}
4. j : {2..x}
5. x = ij
6. prime(i)
p:{2...}, c:{1...}. px & prime(p) & x = pc
2 steps

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