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| Mirrors > Home > NFE Home > Th. List > df-fin | GIF version | ||
| Description: Define the set of all finite sets. Definition from [Rosser], p. 417. (Contributed by SF, 12-Jan-2015.) | 
| Ref | Expression | 
|---|---|
| df-fin | ⊢ Fin = ∪ Nn | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | cfin 4377 | . 2 class Fin | |
| 2 | cnnc 4374 | . . 3 class Nn | |
| 3 | 2 | cuni 3892 | . 2 class ∪ Nn | 
| 4 | 1, 3 | wceq 1642 | 1 wff Fin = ∪ Nn | 
| Colors of variables: wff setvar class | 
| This definition is referenced by: finex 4398 elfin 4421 sfinltfin 4536 nulnnn 4557 ncssfin 6152 | 
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