Description: Define class of all Abelian groups. (Contributed by NM, 17-Oct-2011) (Revised by Mario Carneiro, 6-Jan-2015)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-abl | ⊢ Abel = ( Grp ∩ CMnd ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | cabl | ⊢ Abel | |
| 1 | cgrp | ⊢ Grp | |
| 2 | ccmn | ⊢ CMnd | |
| 3 | 1 2 | cin | ⊢ ( Grp ∩ CMnd ) |
| 4 | 0 3 | wceq | ⊢ Abel = ( Grp ∩ CMnd ) |