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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 17229 instead. (New usage is discouraged.) |
Ref | Expression |
---|---|
df-plusg | ⊢ +g = Slot 2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cplusg 17202 | . 2 class +g | |
2 | c2 12272 | . . 3 class 2 | |
3 | 2 | cslot 17119 | . 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 17228 plusgid 17229 grpstr 17234 grpbaseOLD 17237 grpplusgOLD 17239 oppraddOLD 20236 sraaddgOLD 20941 zlmplusgOLD 21291 znaddOLD 21315 opsrplusgOLD 21829 tngplusgOLD 24375 ttgplusgOLD 28397 resvplusgOLD 32717 hlhilsplusOLD 41118 mnringaddgdOLD 43280 |
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