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Mathbox for Giovanni Mascellani |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > fald | Structured version Visualization version GIF version |
Description: Refutation of falsity, in deduction form. (Contributed by Giovanni Mascellani, 24-Mar-2018.) |
Ref | Expression |
---|---|
fald | ⊢ (𝜃 → ¬ ⊥) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fal 1482 | . 2 ⊢ ¬ ⊥ | |
2 | 1 | a1i 11 | 1 ⊢ (𝜃 → ¬ ⊥) |
Colors of variables: wff setvar class |
Syntax hints: ¬ wn 3 → wi 4 ⊥wfal 1480 |
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 196 df-tru 1478 df-fal 1481 |
This theorem is referenced by: (None) |
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