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Definition df-mndo 37329
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 37328 . 2 class MndOp
2 csem 37322 . . 3 class SemiGrp
3 cexid 37306 . . 3 class ExId
42, 3cin 3943 . 2 class (SemiGrp ∩ ExId )
51, 4wceq 1534 1 wff MndOp = (SemiGrp ∩ ExId )
Colors of variables: wff setvar class
This definition is referenced by:  mndoissmgrpOLD  37330  mndoisexid  37331  ismndo  37334
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