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| Mirrors > Home > ILE Home > Th. List > df-abl | GIF version | ||
| Description: Define class of all Abelian groups. (Contributed by NM, 17-Oct-2011.) (Revised by Mario Carneiro, 6-Jan-2015.) |
| Ref | Expression |
|---|---|
| df-abl | ⊢ Abel = (Grp ∩ CMnd) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cabl 13415 | . 2 class Abel | |
| 2 | cgrp 13132 | . . 3 class Grp | |
| 3 | ccmn 13414 | . . 3 class CMnd | |
| 4 | 2, 3 | cin 3156 | . 2 class (Grp ∩ CMnd) |
| 5 | 1, 4 | wceq 1364 | 1 wff Abel = (Grp ∩ CMnd) |
| Colors of variables: wff set class |
| This definition is referenced by: isabl 13418 |
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