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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 1545. (Contributed by Anthony Hart, 22-Oct-2010.) |
Ref | Expression |
---|---|
df-fal | ⊢ (⊥ ↔ ¬ ⊤) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wfal 1554 | . 2 wff ⊥ | |
2 | wtru 1543 | . . 3 wff ⊤ | |
3 | 2 | wn 3 | . 2 wff ¬ ⊤ |
4 | 1, 3 | wb 209 | 1 wff (⊥ ↔ ¬ ⊤) |
Colors of variables: wff setvar class |
This definition is referenced by: fal 1556 nottru 1569 trunortru 1591 trunorfal 1593 empty 1913 bj-fal 34406 |
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