Example of an abelian group: 〈
Z
,
+
〉
Lemma
Z_is_CAbGroup
:
is_CAbGroup
Z_as_CGroup
.
Definition
Z_as_CAbGroup
:=
Build_CAbGroup
Z_as_CGroup
Z_is_CAbGroup
.
The term
Z_as_CAbGroup
is of type
CAbGroup
. Hence we have proven that
Z
is a constructive Abelian group.
Canonical
Structure
Z_as_CAbGroup
.