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Metamath Proof Explorer

Theorem ringmgm

Description: A ring is a magma. (Contributed by AV, 31-Jan-2020)

		Ref	Expression
	Assertion	ringmgm	⊢ ( 𝑅 ∈ Ring → 𝑅 ∈ Mgm )

Step	Hyp	Ref	Expression
1		ringmnd	⊢ ( 𝑅 ∈ Ring → 𝑅 ∈ Mnd )
2		mndmgm	⊢ ( 𝑅 ∈ Mnd → 𝑅 ∈ Mgm )
3	1 2	syl	⊢ ( 𝑅 ∈ Ring → 𝑅 ∈ Mgm )