Theorem drnggrp

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

	Ref	Expression
Assertion	drnggrp	$$⊢R\in \mathrm{DivRing}\to R\in \mathrm{Grp}$$

Proof

Step	Hyp	Ref	Expression
1		id	$$⊢R\in \mathrm{DivRing}\to R\in \mathrm{DivRing}$$
2	1	drnggrpd	$$⊢R\in \mathrm{DivRing}\to R\in \mathrm{Grp}$$