Theorem bj-cmnssmndel

Description: Commutative monoids are monoids (elemental version). This is a more direct proof of cmnmnd , which relies on iscmn . (Contributed by BJ, 9-Jun-2019) (Proof modification is discouraged.)

	Ref	Expression
Assertion	bj-cmnssmndel	|- ( A e. CMnd -> A e. Mnd )

Proof

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