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 ∈ MndOp → 𝐺 ∈ Magma )

Proof

Step	Hyp	Ref	Expression
1		mndoissmgrpOLD	⊢ ( 𝐺 ∈ MndOp → 𝐺 ∈ SemiGrp )
2		smgrpismgmOLD	⊢ ( 𝐺 ∈ SemiGrp → 𝐺 ∈ Magma )
3	1 2	syl	⊢ ( 𝐺 ∈ MndOp → 𝐺 ∈ Magma )