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| Mirrors > Home > MPE Home > Th. List > pm2.61d1 | Structured version Visualization version GIF version | ||
| Description: Inference eliminating an antecedent. (Contributed by NM, 15-Jul-2005.) |
| Ref | Expression |
|---|---|
| pm2.61d1.1 | ⊢ (𝜑 → (𝜓 → 𝜒)) |
| pm2.61d1.2 | ⊢ (¬ 𝜓 → 𝜒) |
| Ref | Expression |
|---|---|
| pm2.61d1 | ⊢ (𝜑 → 𝜒) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | pm2.61d1.1 | . 2 ⊢ (𝜑 → (𝜓 → 𝜒)) | |
| 2 | pm2.61d1.2 | . . 3 ⊢ (¬ 𝜓 → 𝜒) | |
| 3 | 2 | a1i 11 | . 2 ⊢ (𝜑 → (¬ 𝜓 → 𝜒)) |
| 4 | 1, 3 | pm2.61d 179 | 1 ⊢ (𝜑 → 𝜒) |
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