(18steps total) PrintForm Definitions Lemmas SimpleMulFacts Sections DiscrMathExt Doc
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At: composite with prime factor 1 1 1 1 2 1 1

1. x : 
2. x1:x1<x  2x1  prime(x1 (i,j:{2..x1}. x1 = ij & prime(i))
3. 2x
4. prime(x)
5. i : {2..x}
6. j : {2..x}
7. x = ij
8. prime(i)
9. n : {2..i}
10. m : {2..i}
11. i = nm
12. prime(n)
  j:{2..x}. x = nj & prime(n)


By: Rewrite7 by Hyp:11 ...


Generated subgoal:

1 13. x = nmj
  j:{2..x}. x = nj & prime(n)

5 steps

About:
intnatural_numbermultiplyless_thanequalimpliesandallexists
IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html

(18steps total) PrintForm Definitions Lemmas SimpleMulFacts Sections DiscrMathExt Doc