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| Mirrors > Home > NFE Home > Th. List > df-fal | GIF version | ||
| Description: Definition of ⊥, a contradiction. ⊥ is a constant false. (Contributed by Anthony Hart, 22-Oct-2010.) |
| Ref | Expression |
|---|---|
| df-fal | ⊢ ( ⊥ ↔ ¬ ⊤ ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | wfal 1317 | . 2 wff ⊥ | |
| 2 | wtru 1316 | . . 3 wff ⊤ | |
| 3 | 2 | wn 3 | . 2 wff ¬ ⊤ |
| 4 | 1, 3 | wb 176 | 1 wff ( ⊥ ↔ ¬ ⊤ ) |
| Colors of variables: wff setvar class |
| This definition is referenced by: fal 1322 nottru 1348 |
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