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'<x  f(x) = 0
8. n' = {2..n'+1}(prime_mset_complete(f))
9. x:Prime. n<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)){n+1..n'+1}(prime_mset_complete(f))

By:	Rewrite by {n+1..n'+1}(prime_mset_complete(f)) = 1

1

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

5 steps

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