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| Mirrors > Home > MPE Home > Th. List > Mathboxes > df-sgrOLD | Structured version Visualization version GIF version | ||
| Description: Obsolete version of df-sgrp 18648 as of 3-Feb-2020. A semigroup is an associative magma. (Contributed by FL, 2-Nov-2009.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| df-sgrOLD | ⊢ SemiGrp = (Magma ∩ Ass) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | csem 37231 | . 2 class SemiGrp | |
| 2 | cmagm 37219 | . . 3 class Magma | |
| 3 | cass 37213 | . . 3 class Ass | |
| 4 | 2, 3 | cin 3940 | . 2 class (Magma ∩ Ass) |
| 5 | 1, 4 | wceq 1533 | 1 wff SemiGrp = (Magma ∩ Ass) |
| Colors of variables: wff setvar class |
| This definition is referenced by: smgrpismgmOLD 37233 issmgrpOLD 37234 |
| Copyright terms: Public domain | W3C validator |