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At:
only one factored by1111 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:Prime. n'<xf(x) = 0
8. n' = {2..n'+1}(prime_mset_complete(f))
9. x:Prime. n<xf(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 ]