Theorem ablgrpd

Description: An Abelian group is a group, deduction form of ablgrp . (Contributed by Rohan Ridenour, 3-Aug-2023)

	Ref	Expression
Hypothesis	ablgrpd.1	$$⊢\phi \to G\in \mathrm{Abel}$$
Assertion	ablgrpd	$$⊢\phi \to G\in \mathrm{Grp}$$

Proof

Step	Hyp	Ref	Expression
1		ablgrpd.1	$$⊢\phi \to G\in \mathrm{Abel}$$
2		ablgrp	$$⊢G\in \mathrm{Abel}\to G\in \mathrm{Grp}$$
3	1 2	syl	$$⊢\phi \to G\in \mathrm{Grp}$$