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| Mirrors > Home > MPE Home > Th. List > df-plusg | Structured version Visualization version GIF version | ||
| Description: Define group operation. In the context of less restrictive structures, this operation is also called magma, semigroup or monoid operation. (Contributed by NM, 4-Sep-2011.) (Revised by Mario Carneiro, 14-Aug-2015.) Use its index-independent form plusgid 17324 instead. (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| df-plusg | ⊢ +g = Slot 2 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cplusg 17297 | . 2 class +g | |
| 2 | c2 12321 | . . 3 class 2 | |
| 3 | 2 | cslot 17218 | . 2 class Slot 2 |
| 4 | 1, 3 | wceq 1540 | 1 wff +g = Slot 2 |
| Colors of variables: wff setvar class |
| This definition is referenced by: plusgndx 17323 plusgid 17324 grpstr 17328 grpbaseOLD 17331 grpplusgOLD 17333 oppraddOLD 20344 sraaddgOLD 21180 zlmplusgOLD 21532 znaddOLD 21558 opsrplusgOLD 22072 tngplusgOLD 24658 ttgplusgOLD 28890 resvplusgOLD 33362 hlhilsplusOLD 41945 mnringaddgdOLD 44237 |
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