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 ∈ CMnd → 𝐴 ∈ Mnd )

Proof

Step	Hyp	Ref	Expression
1		bj-cmnssmnd	⊢ CMnd ⊆ Mnd
2	1	sseli	⊢ ( 𝐴 ∈ CMnd → 𝐴 ∈ Mnd )