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| Mirrors > Home > MPE Home > Th. List > df-nul | Structured version Visualization version 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 3917. (Contributed by NM, 17-Jun-1993.) |
| Ref | Expression |
|---|---|
| df-nul | ⊢ ∅ = (V ∖ V) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | c0 3915 | . 2 class ∅ | |
| 2 | cvv 3200 | . . 3 class V | |
| 3 | 2, 2 | cdif 3571 | . 2 class (V ∖ V) |
| 4 | 1, 3 | wceq 1483 | 1 wff ∅ = (V ∖ V) |
| Colors of variables: wff setvar class |
| This definition is referenced by: dfnul2 3917 noel 3919 |
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