Rank | Theorem | Name |
6 | Thm* f:(Prime   ), n,n': .
Thm* f is a factorization of n  f is a factorization of n'  n = n' | [only_one_factored_by] |
cites the following: |
5 | Thm* f:(Prime   ), n: . f is a factorization of n  0<n | [only_positives_prime_fed] |
4 | Thm* a,c,b: , f:({a..b }  ).
Thm* a c  c b   {a..b }(f) =  {a..c }(f)  {c..b }(f) | [eval_factorization_split_mid] |
5 | Thm* a:{2...}, b: , f:({a..b }  ).  {a..b }(f) = 1  ( i:{a..b }. f(i) = 0) | [eval_factorization_one] |
0 | Thm* f:(Prime   ), x:Prime . prime_mset_complete(f)(x) = f(x) | [prime_mset_complete_isext] |
0 | Thm* f:(Prime   ), x: . prime(x)  prime_mset_complete(f)(x) = 0 | [prime_mset_complete_ismin] |