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At:
nat prime div each factorLEMMA11121 1. X : 2. prime(X)
3. X1:. X1<X prime(X1) (a,b:. X1 | abX1 | aX1 | b)
4. W : 5. W1:. W1<W 0<W1W1<X (t:. X | tW1X | t)
6. 0<W 7. W<X 8. t : 9. u : 10. tW = Xu 11. W = 1
12. X1 : {2...}
13. X1W 14. prime(X1)
15. X1 | W X | t
By:
Rewrite'-1 by Thm*a,b:. a | b (c:. b = ac) ...w THEN Analyze-1