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Mirrors > Home > ILE Home > Th. List > df-fal | GIF version |
Description: Definition of the truth value "false", or "falsum", denoted by ⊥. See also df-tru 1351. (Contributed by Anthony Hart, 22-Oct-2010.) |
Ref | Expression |
---|---|
df-fal | ⊢ (⊥ ↔ ¬ ⊤) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wfal 1353 | . 2 wff ⊥ | |
2 | wtru 1349 | . . 3 wff ⊤ | |
3 | 2 | wn 3 | . 2 wff ¬ ⊤ |
4 | 1, 3 | wb 104 | 1 wff (⊥ ↔ ¬ ⊤) |
Colors of variables: wff set class |
This definition is referenced by: fal 1355 nottru 1408 bdfal 13868 |
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