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Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-pm2.01i | Structured version Visualization version GIF version |
Description: Inference associated with pm2.01 180. (Contributed by BJ, 30-Mar-2020.) |
Ref | Expression |
---|---|
bj-pm2.01i.1 | ⊢ (𝜑 → ¬ 𝜑) |
Ref | Expression |
---|---|
bj-pm2.01i | ⊢ ¬ 𝜑 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-pm2.01i.1 | . 2 ⊢ (𝜑 → ¬ 𝜑) | |
2 | pm2.01 180 | . 2 ⊢ ((𝜑 → ¬ 𝜑) → ¬ 𝜑) | |
3 | 1, 2 | ax-mp 5 | 1 ⊢ ¬ 𝜑 |
Colors of variables: wff setvar class |
Syntax hints: ¬ wn 3 → wi 4 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem is referenced by: (None) |
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