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Metamath Proof Explorer

Theorem drnggrp

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

Ref Expression
Assertion drnggrp 
|- ( R e. DivRing -> R e. Grp )

Proof

Step Hyp Ref Expression
1 id 
 |-  ( R e. DivRing -> R e. DivRing )
2 1 drnggrpd 
 |-  ( R e. DivRing -> R e. Grp )