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At:
only one factored by111111111 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))
11. 0<n 12. i : {(n+1)..(n'+1)}
13. prime(i)
prime_mset_complete(f)(i) = 0
By:
Rewrite by Thm*f:(Prime), x:Prime. prime_mset_complete(f)(x) = f(x)