Theorem bj-mndsssmgrpel

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

	Ref	Expression
Assertion	bj-mndsssmgrpel	$$⊢G\in \mathrm{Mnd}\to G\in \mathrm{Smgrp}$$

Proof

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