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At: only one factored by 1 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))
11. 0<n
  {2..n+1}(prime_mset_complete(f)) = {2..n'+1}(prime_mset_complete(f))


By: Rewrite by
Thm*  a,c,b:f:({a..b}).
Thm*  ac  cb  {a..b}(f) = {a..c}(f){c..b}(f)
Using:[a:= 2 | b:= n'+1 | c:= n+1 | f:= prime_mset_complete(f)]


Generated subgoal:

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

6 steps

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

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