Theorem drnggrp

Description: A division ring is a group (closed form). (Contributed by NM, 8-Sep-2011)

	Ref	Expression
Assertion	drnggrp	⊢ ( 𝑅 ∈ DivRing → 𝑅 ∈ Grp )

Proof

Step	Hyp	Ref	Expression
1		id	⊢ ( 𝑅 ∈ DivRing → 𝑅 ∈ DivRing )
2	1	drnggrpd	⊢ ( 𝑅 ∈ DivRing → 𝑅 ∈ Grp )