Metamath Proof Explorer


Theorem crnggrpd

Description: A commutative ring is a group. (Contributed by SN, 16-May-2024)

Ref Expression
Hypothesis crngringd.1
|- ( ph -> R e. CRing )
Assertion crnggrpd
|- ( ph -> R e. Grp )

Proof

Step Hyp Ref Expression
1 crngringd.1
 |-  ( ph -> R e. CRing )
2 1 crngringd
 |-  ( ph -> R e. Ring )
3 2 ringgrpd
 |-  ( ph -> R e. Grp )