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| Mirrors > Home > NFE Home > Th. List > df-ncs | GIF version | ||
| Description: Define the set of all cardinal numbers. We define them as equivalence classes of sets of the same size. Definition from [Rosser] p. 372. (Contributed by Scott Fenton, 24-Feb-2015.) |
| Ref | Expression |
|---|---|
| df-ncs | ⊢ NC = (V / ≈ ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cncs 6089 | . 2 class NC | |
| 2 | cvv 2860 | . . 3 class V | |
| 3 | cen 6029 | . . 3 class ≈ | |
| 4 | 2, 3 | cqs 5947 | . 2 class (V / ≈ ) |
| 5 | 1, 4 | wceq 1642 | 1 wff NC = (V / ≈ ) |
| Colors of variables: wff setvar class |
| This definition is referenced by: ncsex 6112 nulnnc 6119 elncs 6120 |
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