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prime factorization unique12 1. a : {2...}
2. b :
3. k :
4. k1:.
4. k1<k 4.
4. (g,h:({a..b}).
4. (is_prime_factorization(a; b; g) & is_prime_factorization(a; b; h)
4. (
4. ({a..b}(g) = k1 {a..b}(g) = {a..b}(h) g = h)
5. g : {a..b}
6. h : {a..b}
7. is_prime_factorization(a; b; g)
8. is_prime_factorization(a; b; h)
9. {a..b}(g) = k 10. {a..b}(g) = {a..b}(h)
11. (j:{a..b}. 0<g(j))
g = h