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| Mirrors > Home > MPE Home > Th. List > df-fal | Structured version Visualization version GIF version | ||
| Description: Definition of the truth value "false", or "falsum", denoted by ⊥. See also df-tru 1543. (Contributed by Anthony Hart, 22-Oct-2010.) |
| Ref | Expression |
|---|---|
| df-fal | ⊢ (⊥ ↔ ¬ ⊤) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | wfal 1552 | . 2 wff ⊥ | |
| 2 | wtru 1541 | . . 3 wff ⊤ | |
| 3 | 2 | wn 3 | . 2 wff ¬ ⊤ |
| 4 | 1, 3 | wb 206 | 1 wff (⊥ ↔ ¬ ⊤) |
| Colors of variables: wff setvar class |
| This definition is referenced by: fal 1554 nottru 1567 trunortru 1589 trunorfal 1590 empty 1906 bj-fal 36571 ralfal 45166 |
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