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Definition df-mndo 37225
Description: A monoid is a semigroup 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 37224 . 2 class MndOp
2 csem 37218 . . 3 class SemiGrp
3 cexid 37202 . . 3 class ExId
42, 3cin 3939 . 2 class (SemiGrp ∩ ExId )
51, 4wceq 1533 1 wff MndOp = (SemiGrp ∩ ExId )
Colors of variables: wff setvar class
This definition is referenced by:  mndoissmgrpOLD  37226  mndoisexid  37227  ismndo  37230
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