Theorem ringabld

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

	Ref	Expression
Hypothesis	ringabld.1	⊢ ( 𝜑 → 𝑅 ∈ Ring )
Assertion	ringabld	⊢ ( 𝜑 → 𝑅 ∈ Abel )

Proof

Step	Hyp	Ref	Expression
1		ringabld.1	⊢ ( 𝜑 → 𝑅 ∈ Ring )
2		ringabl	⊢ ( 𝑅 ∈ Ring → 𝑅 ∈ Abel )
3	1 2	syl	⊢ ( 𝜑 → 𝑅 ∈ Abel )