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At: only one factored by 1 1 1 1

1. f : Prime
2. n : 
3. n' : 
4. nn'
5. f is a factorization of n
6. f is a factorization of n'
7. x:Primen'<x  f(x) = 0
8. n' = {2..n'+1}(prime_mset_complete(f))
9. x:Primen<x  f(x) = 0
10. n = {2..n+1}(prime_mset_complete(f))
  {2..n+1}(prime_mset_complete(f)) = {2..n'+1}(prime_mset_complete(f))


By: FwdThru: 
Thm*  f:(Prime), n:f is a factorization of n  0<n
on [ Hyp:5 ]


Generated subgoal:

1 11. 0<n
  {2..n+1}(prime_mset_complete(f)) = {2..n'+1}(prime_mset_complete(f))

7 steps

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

(15steps total) PrintForm Definitions Lemmas FTA Sections DiscrMathExt Doc