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Related theorems GIF version |
| Description: Define the empty set. Special case of Exercise 4.10(o) of [Mendelson] p. 231. For a more traditional definition, but requiring a dummy variable, see dfnul2 1709. |
| Ref | Expression |
|---|---|
| df-nul | ⊢ ∅ = (V ∖ V) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | c0 1707 | . 2 class ∅ | |
| 2 | cvv 1348 | . . 3 class V | |
| 3 | 2, 2 | cdif 1484 | . 2 class (V ∖ V) |
| 4 | 1, 3 | wceq 1091 | 1 wff ∅ = (V ∖ V) |
| Colors of variables: wff set class |
| This definition is referenced by: dfnul2 1709 |