Metamath Proof Explorer


Theorem bj-ablsscmnel

Description: Abelian groups are commutative monoids (elemental version). This is a shorter proof of ablcmn . (Contributed by BJ, 9-Jun-2019) (Proof modification is discouraged.)

Ref Expression
Assertion bj-ablsscmnel
|- ( A e. Abel -> A e. CMnd )

Proof

Step Hyp Ref Expression
1 bj-ablsscmn
 |-  Abel C_ CMnd
2 1 sseli
 |-  ( A e. Abel -> A e. CMnd )