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At:
prime factorization exists211121 1. n : {1...}
2. h : {2..(n+1)}
3. n = {2..n+1}(h)
4. is_prime_factorization(2; (n+1); h)
5. x : {2..(n+1)}
h(x) = prime_mset_complete(complete_intseg_mset(2; (n+1); h))(x)