Theorem ringmgm

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

	Ref	Expression
Assertion	ringmgm	$$⊢R\in \mathrm{Ring}\to R\in \mathrm{Mgm}$$

Proof

Step	Hyp	Ref	Expression
1		ringmnd	$$⊢R\in \mathrm{Ring}\to R\in \mathrm{Mnd}$$
2		mndmgm	$$⊢R\in \mathrm{Mnd}\to R\in \mathrm{Mgm}$$
3	1 2	syl	$$⊢R\in \mathrm{Ring}\to R\in \mathrm{Mgm}$$