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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 12885 | . 2 class Abel | |
2 | cgrp 12738 | . . 3 class Grp | |
3 | ccmn 12884 | . . 3 class CMnd | |
4 | 2, 3 | cin 3126 | . 2 class (Grp ∩ CMnd) |
5 | 1, 4 | wceq 1353 | 1 wff Abel = (Grp ∩ CMnd) |
Colors of variables: wff set class |
This definition is referenced by: isabl 12888 |
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