Example of a group: 〈
Q
+
, (x,y) ↦ xy/2〉
The positive rationals form with the operation (x,y) ↦ xy/2 a CGroup.
Lemma
Qpos_multdiv2_is_CGroup
:
is_CGroup
Qpos_multdiv2_as_CMonoid
divmult4
.
Definition
Qpos_multdiv2_as_CGroup
:=
Build_CGroup
Qpos_multdiv2_as_CMonoid
divmult4
Qpos_multdiv2_is_CGroup
.