This file defined the relations Divides, and Coprime and proves some properties of them.
** Module lib_int_number_theory Imports lib_integers/lib_int_mod Divides = ... : zed->zed->Prop Coprime = ... : zed->zed->Prop refl_Divides = ... : refl Divides divides_implies_is_zero_modulo = ... : {m,n|int.1}(Divides m n)->Mod m n zero_zed times_Divides = ... : {m,n,p|int.1}(Divides m n)->Divides m (times_zed p n) times_Divides' = ... : {m,n,p|int.1}(Divides m p)->Divides m (times_zed p n) sym_Coprime = ... : sym Coprime factor_Coprime = ... : {p,m,n|int.1}(Coprime p (times_zed m n))->Coprime p n factor_Coprime' = ... : {p,m,n|int.1}(Coprime p (times_zed m n))->Coprime p m