Theorem bj-grpssmndel

Description: Groups are monoids (elemental version). Shorter proof of grpmnd . (Contributed by BJ, 5-Jan-2024) (Proof modification is discouraged.)

	Ref	Expression
Assertion	bj-grpssmndel	⊢ ( 𝐴 ∈ Grp → 𝐴 ∈ Mnd )

Proof

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