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| Mirrors > Home > MPE Home > Th. List > Mathboxes > df-singles | Structured version Visualization version GIF version | ||
| Description: Define the class of all singletons. See elsingles 32564 for membership. (Contributed by Scott Fenton, 19-Feb-2013.) |
| Ref | Expression |
|---|---|
| df-singles | ⊢ Singletons = ran Singleton |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | csingles 32485 | . 2 class Singletons | |
| 2 | csingle 32484 | . . 3 class Singleton | |
| 3 | 2 | crn 5343 | . 2 class ran Singleton |
| 4 | 1, 3 | wceq 1658 | 1 wff Singletons = ran Singleton |
| Colors of variables: wff setvar class |
| This definition is referenced by: elsingles 32564 |
| Copyright terms: Public domain | W3C validator |