Nuprl - Proof: prime or smaller prime factor2 1 2

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At: prime or smaller prime factor2 1 2

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

prime(x)

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

x & prime(p) & x = p

By:	FwdThru: Thm* x:{2...}. prime(x) (i,j:{2..x}. x = ij & prime(i)) on [ prime(x) ] ...

Generated subgoal:

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

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