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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-mndo | Structured version Visualization version GIF version |
Description: A monoid is a semi-group 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 33665 | . 2 class MndOp | |
2 | csem 33659 | . . 3 class SemiGrp | |
3 | cexid 33643 | . . 3 class ExId | |
4 | 2, 3 | cin 3573 | . 2 class (SemiGrp ∩ ExId ) |
5 | 1, 4 | wceq 1483 | 1 wff MndOp = (SemiGrp ∩ ExId ) |
Colors of variables: wff setvar class |
This definition is referenced by: mndoissmgrpOLD 33667 mndoisexid 33668 ismndo 33671 |
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