Metamath Proof Explorer


Definition df-mndo

Description: Obsolete definition, use df-mnd instead. A monoid is a semigroup with an identity element. (Contributed by FL, 2-Nov-2009) (New usage is discouraged.)

Ref Expression
Assertion df-mndo MndOp = ( SemiGrp ∩ ExId )

Detailed syntax breakdown

Step Hyp Ref Expression
0 cmndo ⊢ MndOp
1 csem ⊢ SemiGrp
2 cexid ⊢ ExId
3 1 2 cin ⊢ ( SemiGrp ∩ ExId )
4 0 3 wceq ⊢ MndOp = ( SemiGrp ∩ ExId )