Metamath Proof Explorer

Theorem mndoismgmOLD

Description: Obsolete version of mndmgm as of 3-Feb-2020. A monoid is a magma. (Contributed by FL, 2-Nov-2009) (New usage is discouraged.) (Proof modification is discouraged.)

		Ref	Expression
	Assertion	mndoismgmOLD	$⊢ G \in MndOp \to G \in Magma$

Proof

Step	Hyp	Ref	Expression
1		mndoissmgrpOLD	$⊢ G \in MndOp \to G \in SemiGrp$
2		smgrpismgmOLD	$⊢ G \in SemiGrp \to G \in Magma$
3	1 2	syl	$⊢ G \in MndOp \to G \in Magma$