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Mirrors > Home > MPE Home > Th. List > pm2.18i | Structured version Visualization version GIF version |
Description: Inference associated with the Clavius law pm2.18 128. (Contributed by BJ, 30-Mar-2020.) |
Ref | Expression |
---|---|
pm2.18i.1 | ⊢ (¬ 𝜑 → 𝜑) |
Ref | Expression |
---|---|
pm2.18i | ⊢ 𝜑 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.18i.1 | . 2 ⊢ (¬ 𝜑 → 𝜑) | |
2 | pm2.18 128 | . 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: notnotriALT 132 pm2.61i 182 sn-00id 40407 3cubes 40535 |
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