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| Mirrors > Home > NFE Home > Th. List > df-2c | GIF version | ||
| Description: Define cardinal two. This is the set of all sets with two unique elements. (Contributed by Scott Fenton, 24-Feb-2015.) |
| Ref | Expression |
|---|---|
| df-2c | ⊢ 2c = Nc {∅, V} |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | c2c 6095 | . 2 class 2c | |
| 2 | c0 3551 | . . . 4 class ∅ | |
| 3 | cvv 2860 | . . . 4 class V | |
| 4 | 2, 3 | cpr 3739 | . . 3 class {∅, V} |
| 5 | 4 | cnc 6092 | . 2 class Nc {∅, V} |
| 6 | 1, 5 | wceq 1642 | 1 wff 2c = Nc {∅, V} |
| Colors of variables: wff setvar class |
| This definition is referenced by: 1p1e2c 6156 2p1e3c 6157 nncdiv3lem2 6277 |
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