Definition df-cmgm2 41856

Description: A commutative magma is a magma with a commutative operation. Definition 8 of [BourbakiAlg1] p. 7. (Contributed by AV, 20-Jan-2020.)

Assertion

Ref	Expression
df-cmgm2	|- CMgmALT = { m e. MgmALT | ( +g ` m ) comLaw ( Base ` m ) }

Detailed syntax breakdown of Definition df-cmgm2

Step	Hyp	Ref	Expression
1		ccmgm2 41852	. 2 class CMgmALT
2		vm	. . . . . 6 setvar m
3	2	cv 1482	. . . . 5 class m
4		cplusg 15941	. . . . 5 class +g
5	3, 4	cfv 5888	. . . 4 class ( +g ` m )
6		cbs 15857	. . . . 5 class Base
7	3, 6	cfv 5888	. . . 4 class ( Base ` m )
8		ccomlaw 41821	. . . 4 class comLaw
9	5, 7, 8	wbr 4653	. . 3 wff ( +g ` m ) comLaw ( Base ` m )
10		cmgm2 41851	. . 3 class MgmALT
11	9, 2, 10	crab 2916	. 2 class { m e. MgmALT | ( +g ` m ) comLaw ( Base ` m ) }
12	1, 11	wceq 1483	1 wff CMgmALT = { m e. MgmALT | ( +g ` m ) comLaw ( Base ` m ) }

This definition is referenced by:  iscmgmALT  41860