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Mirrors > Home > MPE Home > Th. List > nottru | Structured version Visualization version GIF version |
Description: A ¬ identity. (Contributed by Anthony Hart, 22-Oct-2010.) |
Ref | Expression |
---|---|
nottru | ⊢ (¬ ⊤ ↔ ⊥) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-fal 1546 | . 2 ⊢ (⊥ ↔ ¬ ⊤) | |
2 | 1 | bicomi 226 | 1 ⊢ (¬ ⊤ ↔ ⊥) |
Colors of variables: wff setvar class |
Syntax hints: ¬ wn 3 ↔ wb 208 ⊤wtru 1534 ⊥wfal 1545 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 209 df-fal 1546 |
This theorem is referenced by: trunantru 1574 truxortru 1578 falxorfal 1581 |
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