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

1. x : 
2. x1:x1<x  2x1  prime(x1 (i,j:{2..x1}. x1 = ij & prime(i))
3. 2x
4. prime(x)
  i,j:{2..x}. x = ij & prime(i)


By: FwdThru: 
Thm*  x:prime(x x<2  (i,j:{2..x}. x = ij)
on [ prime(x) ] ...w
THEN
Analyze-1 ...


Generated subgoal:

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

11 steps

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

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