| Rank | Theorem | Name | 
| 6 |  k:{2...}, g:({2..k  }    ), x,y:{2..k  }. Thm* x  y<k Thm*    Thm* x<y Thm*    Thm*   {2..k  }(g) =   {2..k  }(split_factor2(g; x; y)) Thm* & split_factor2(g; x; y)(x  y) = 0 Thm* & (  u:{2..k  }. x  y<u   split_factor2(g; x; y)(u) = g(u)) | [split_factor2_char] | 
| cites the following: | ||
| 3 |  i,j:{2...}. i<i  j & j<i  j | [factors_smaller] | 
| 5 |  a,c,b:  , f:({a..b  }    ). Thm* a  c   c<b      {a..b  }(f) =   {a..c  }(f)  c  f(c)    {c+1..b  }(f) | [eval_factorization_split_pluck] | 
| 4 |  i:  , x,y:  . i  x  i  y = i  (x+y) | [sum_exponent] | 
| 4 |  a,b,c:  . (a  b)  c = a  c  b  c | [exp_reduce1] | 
| 0 |  x:  . x  0 = 1 | [exponent_zero] |