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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 17228 instead. (New usage is discouraged.) |
Ref | Expression |
---|---|
df-plusg | ⊢ +g = Slot 2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cplusg 17201 | . 2 class +g | |
2 | c2 12271 | . . 3 class 2 | |
3 | 2 | cslot 17118 | . 2 class Slot 2 |
4 | 1, 3 | wceq 1539 | 1 wff +g = Slot 2 |
Colors of variables: wff setvar class |
This definition is referenced by: plusgndx 17227 plusgid 17228 grpstr 17233 grpbaseOLD 17236 grpplusgOLD 17238 oppraddOLD 20235 sraaddgOLD 20940 zlmplusgOLD 21290 znaddOLD 21314 opsrplusgOLD 21828 tngplusgOLD 24374 ttgplusgOLD 28400 resvplusgOLD 32720 hlhilsplusOLD 41117 mnringaddgdOLD 43279 |
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