Theorem ringabld

Description: A ring is an Abelian group. (Contributed by SN, 1-Jun-2024)

	Ref	Expression
Hypothesis	ringabld.1	$$⊢\phi \to R\in \mathrm{Ring}$$
Assertion	ringabld	$$⊢\phi \to R\in \mathrm{Abel}$$

Proof

Step	Hyp	Ref	Expression
1		ringabld.1	$$⊢\phi \to R\in \mathrm{Ring}$$
2		ringabl	$$⊢R\in \mathrm{Ring}\to R\in \mathrm{Abel}$$
3	1 2	syl	$$⊢\phi \to R\in \mathrm{Abel}$$