Theorem drnggrp

Description: A division ring is a group. (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		drngring	$$⊢R\in \mathrm{DivRing}\to R\in \mathrm{Ring}$$
2		ringgrp	$$⊢R\in \mathrm{Ring}\to R\in \mathrm{Grp}$$
3	1 2	syl	$$⊢R\in \mathrm{DivRing}\to R\in \mathrm{Grp}$$