Theorem bj-smgrpssmgmel

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

	Ref	Expression
Assertion	bj-smgrpssmgmel	$$⊢G\in \mathrm{Smgrp}\to G\in \mathrm{Mgm}$$

Proof

Step	Hyp	Ref	Expression
1		bj-smgrpssmgm	$$⊢\mathrm{Smgrp}\subseteq \mathrm{Mgm}$$
2	1	sseli	$$⊢G\in \mathrm{Smgrp}\to G\in \mathrm{Mgm}$$