CoRN.model.abgroups.Qposabgroup


Require Export Qposgroup.
Require Import CAbGroups.

Example of an abelian group: ⟨Qpos,[*]

The positive rationals form with the multiplication a CAbgroup.

Definition Qpos_mult_is_CAbGroup : is_CAbGroup Qpos_as_CGroup.
Proof.
 intros x y; simpl.
 QposRing.
Qed.

Definition Qpos_mult_as_CAbGroup := Build_CAbGroup
 Qpos_as_CGroup Qpos_mult_is_CAbGroup.