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| Mirrors > Home > MPE Home > Th. List > Mathboxes > df-mndo | Structured version Visualization version GIF version | ||
| Description: A monoid is a semigroup with an identity element. (Contributed by FL, 2-Nov-2009.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| df-mndo | ⊢ MndOp = (SemiGrp ∩ ExId ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cmndo 34676 | . 2 class MndOp | |
| 2 | csem 34670 | . . 3 class SemiGrp | |
| 3 | cexid 34654 | . . 3 class ExId | |
| 4 | 2, 3 | cin 3858 | . 2 class (SemiGrp ∩ ExId ) |
| 5 | 1, 4 | wceq 1522 | 1 wff MndOp = (SemiGrp ∩ ExId ) |
| Colors of variables: wff setvar class |
| This definition is referenced by: mndoissmgrpOLD 34678 mndoisexid 34679 ismndo 34682 |
| Copyright terms: Public domain | W3C validator |