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Definition df-mndo 33295
Description: A monoid is a semi-group with an identity element. (Contributed by FL, 2-Nov-2009.) (New usage is discouraged.)
Assertion
Ref Expression
df-mndo MndOp = (SemiGrp ∩ ExId )

Detailed syntax breakdown of Definition df-mndo
StepHypRef Expression
1 cmndo 33294 . 2 class MndOp
2 csem 33288 . . 3 class SemiGrp
3 cexid 33272 . . 3 class ExId
42, 3cin 3554 . 2 class (SemiGrp ∩ ExId )
51, 4wceq 1480 1 wff MndOp = (SemiGrp ∩ ExId )
Colors of variables: wff setvar class
This definition is referenced by:  mndoissmgrpOLD  33296  mndoisexid  33297  ismndo  33300
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