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	⊢ ( 𝜑 → 𝐺 ∈ Abel )
Assertion	ablgrpd	⊢ ( 𝜑 → 𝐺 ∈ Grp )

Proof

Step	Hyp	Ref	Expression
1		ablgrpd.1	⊢ ( 𝜑 → 𝐺 ∈ Abel )
2		ablgrp	⊢ ( 𝐺 ∈ Abel → 𝐺 ∈ Grp )
3	1 2	syl	⊢ ( 𝜑 → 𝐺 ∈ Grp )