Theorem bj-smgrpssmgmel

Description: Semigroups are magmas (elemental version). (Contributed by BJ, 12-Apr-2024) (Proof modification is discouraged.)

	Ref	Expression
Assertion	bj-smgrpssmgmel	⊢ ( 𝐺 ∈ Smgrp → 𝐺 ∈ Mgm )

Proof

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