Theorem bj-mndsssmgrpel

Description: Monoids are semigroups (elemental version). (Contributed by BJ, 11-Apr-2024) (Proof modification is discouraged.)

	Ref	Expression
Assertion	bj-mndsssmgrpel	⊢ ( 𝐺 ∈ Mnd → 𝐺 ∈ Smgrp )

Proof

Step	Hyp	Ref	Expression
1		bj-mndsssmgrp	⊢ Mnd ⊆ Smgrp
2	1	sseli	⊢ ( 𝐺 ∈ Mnd → 𝐺 ∈ Smgrp )