

 == {i:
 == {i: | i
| i  0 }
 0 }
is mentioned by
| Thm*  a:  , b:    . |a| = |b|   (a rem b) = 0 | [rem_eq_args_z] | 
| Thm*  a:  , b:    . |a| < |b|   (a rem b) = a | [rem_base_case_z] | 
| Thm*  a:  , n:    . |a| < |n|   (a rem n) = a | [rem_gen_base_case] | 
| Thm*  a:  , n:    . (a  n)    | [divide_wfa] | 
| Thm*  a:  , n:    . |a rem n| < |n| | [rem_mag_bound] | 
| Thm*  a:  , n:    . (a rem n) = (a rem -n) | [rem_sym_2] | 
| Thm*  a:  , n:    . (a rem n) = -((-a) rem n) | [rem_sym_1a] | 
| Thm*  a:  , n:    . -(a rem n) = ((-a) rem n) | [rem_sym_1] | 
| Thm*  a:  , b:    . |a rem b| < |b| | [rem_bounds_z] | 
| Thm*  a:  , b:    . ((-a) rem b) = -(a rem b) | [rem_antisym] | 
| Thm*  a:  , b:    . (a rem -b) = (a rem b) | [rem_sym] | 
| Thm*  a:  , n:    . (a rem n) = a-(a  n)  n | [rem_to_div] | 
| Thm*  a:  , n:    . a = (a  n)  n+(a rem n) | [div_rem_sum] | 
| Thm*  a,b:  , n:    . n  a = n  b   a = b | [mul_cancel_in_eq] | 
In prior sections: int 1
Try larger context: StandardLIB